3 0 9 7e x 2 dx dy 3y Expert Answer. Let&x27;s start by reversing the order of integration cos (4x)dx dy. Region of type 1 (4) E f(x;y;z); (x;y) 2 D; u1(x;y) z u2(x;y)g where D is the projection. is the original integral. Previous question Next question. Calculus questions and answers. The purpose of reversing the order of the limits is to reduce the. Calculus 3 tutorial video that explains changing order of integration and setting up your new bounds for double integrals. (b) Reverse the order of integration. Find step-by-step Calculus solutions and your answer to the following textbook question Calculate the iterated integral by first reversing the order of integration. (Vsin y dy dx 56. Expert Answer. integralSquareroot 6 pi0 integralSquareroot 6 piy cos (4x2) dx dy Evaluate the Integral by reversing the order of integration. Video on double integrals httpsyoutu. Sometimes we are presented with an integral that looks especially difficult. Expert Answer. Use geometry or symmetry, or both, to evaluate the double integral. Evaluate the integral by reversing the order of integration. Help Entering Answers (1 point) Evaluate the integral by reversing the order of integration 1033y15e5x2 dx dybadc013y315e5x2 dx dyabcd functions equation editor dy dx dy dx where aa functions equation editor bb functions equation editor cc functions equation. Expert Answer. Evaluate the integral by reversing the order of integration. Question Evaluate the integral by reversing the order of integration. Evaluate the integral Double integral cos (x2)dxdy by reversing the order of integration. Evaluate the integral by reversing the order of integration. Sketch the region of integration, reverse the order of integration, and evaluate the integral Z 2 0 Z 4x2 0 xe2y 4y dy dx. &226;&171;&226;&171;K 67t dy dr. By now you will be familiar with differentiating common functions and will have had the op-portunity to practice many techniques of differentiation. View the full answer Step 2. Question Evaluate the integral by reversing the order of integration. This problem has been solved You&x27;ll get a detailed solution from a subject matter expert that helps you learn core concepts. Evaluate the integral by reversing the order of integration &92;&92;int0&92;&92;sqrt3&92;&92;pi&92;&92;inty&92;&92;sqrt3&92;&92;pi&92;&92;cos 7x2&92;&92;;dxdy. Calculus questions and answers. -1 Points DETAILS SCALCET8 15. We rst have y ranging from 0 to 4x2, and second x ranges from 0 to 2. Transcribed image text Change the order of integration in the integral f (x,y) dx dy. 09x3y312dydxEvaluate the integral by reversing the order of integration. Evaluating the. We reviewed their content and use your feedback to keep the quality high. Then changing the order of integration evaluate the integral Z 1 0 Z 1 x sin y 2 dy dx. Oct 16, 2020. edx dy. Calculate the iterated integral by first reversing the order of integration displaystyle I int01 intsqrty1 fracy(ex2)x3 dx dy Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their. Please check out the the images below for the answer. See Answer. Expanding the definition. View the full answer Step 2. For example, the face of T in the xy-plane is given by x;y 0 and 2x 3y 6. Iterated integral, verticallyhorizontally simple. This problem has been solved You&x27;ll get a detailed solution from a subject matter expert that helps you learn core concepts. Write Tf(x,y)dA as an iterated integral, or. (the problem is a double integral) 9. Reminder There is no magic formula to know how to change the order of the integration. Reversing order of integration for a triple integral. 2 0 6 7ex2 dx dy 3y. integral 0 to 1 and integral 3y to 3 exp (x)2 dx dy. Who are the experts Experts have been vetted by Chegg as specialists in this subject. Question Evaluate the integral by reversing the order of integration of R 0 R y cos(x 2)dxdy and R 1 0 R 2 arcsin y cos(x) p 1 cos2(x)dxdy. Get the free "Double Integral Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle. 5 points) Sketch and shade the region of integration and evaluate the integral by reversing the order of integration 016x4y311dydx. A Guide to Changing the Order of an Iterated Integral It often occurs that a double integral is easily evaluated if iterated in one direction and very dicult, or impossible, if iterated in the other direction. Evaluate the integral from 0 to 1 of the integral from 5y to 5. Write 1(&92;cdot) for the indicator function. Expert Answer. Integration involves the calculation of an integral, which is useful to find many quantities. Question Evaluate the integral by reversing the order of integration. For a more in depth look a. A) Sketch the region of integration for the integral &92;int01&92;int03 exy dxdy B) Reverse the order of integration and evaluate. Answer Next, we need to reverse the order of integration. Choose the correct graph below. The given integration is. This is my work x 0 ex yyy 0dy ex yyy 0 ey yy e0 yy ey y x 0 (ey y)dy ey2 2 y2 2x 0 ex 2 x 2 x 2(e 1) What am I doing wrong integration Share Cite. (4 points) (a) Evaluate the integral by reversing the order of integration Double integrate cosx square root (1cos2x) dxdy. The best way to reverse the order of integration is to first sketch the region given by the original limits of integration. Question 1) Rewrite the iterated integral by reversing the order of integration. 20611ex2 dx dy3y. Reversing the Order of Integration. So because one can always interchange finite sums and integration, the only question is about interchanging the limit and the integration. This problem has been solved You&x27;ll get a detailed solution from a subject matter expert that helps you learn core concepts. Evaluate the integral by reversing the order of integration. 3 3y sin (x) dx dy Round your answer to three decimal places. 61-66 Evaluate the integral by reversing the order of integration. Question Evaluate the integral by reversing the order of integration. Multiple Integrals (Part 4)Reversing the order of integration Sure question MA 101 & MAT 101Calculus. Expert Answer. In fact, the. Evaluate the integral by reversing the order of integration. Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64 cm2. Let&x27;s take a look at some examples. It helps to graph the region over which you are doing the integral. Notice that the original integral has x range from 0 to 1, thus the entire region must be sandwiched between the y-axis (x0) and the line x1. As such it might be more appropriate to write inta,b f(x)dx rather than intab f(x)dx for the "signed area" model of integration you have in mind. I just started dealing with double integrals, and I encountered the following question Change order of integration of the following &92;int2&92;pi0dx&92;int&92;sin(x)0f(x,y)dy. Answer The given limits are (inner) y from x to 2; (outer) x from 0 to 2. We now approach the skill of describing a region using both orders of integration from a different perspective. Really, the approach is to look at a plot of the integration region. For each value of x, the region contains the points between y x12 and y 1. This problem has been solved You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Your answer may contain more than one integral. Evaluate the integral by reversing the order of integration. Evaluate the integral by reversing the order of integration - YouTube Reversing the order - one more (and better) video with two exampleshttpsyoutu. Question Evaluate the integral by reversing the order of integration. Reverse the order of integration in the following integrals. 01x21ysinydydx 63. Question 6. What I like to do is to make the limits generic. By now you will be familiar with differentiating common functions and will have had the op-portunity to practice many techniques of differentiation. The objective is to evaluate the integral by reversing the order of integration. Clearly, the sine function is not one-to-one on the interval left0,piright. Question 4. Evaluate by reversing the order of integration Z 4 0 Z 2 x 1 y 3 1 dy dx. By the way, is this the reason why 8 02 y1 3f(x, y. We examine some double integrals with Cartesian variables x and y. Evaluate the integral by reversing the order of integration. You should omit the -4x from the integration calculation in the right half. Previous question Next question. Calculus questions and answers. Who are the experts Experts have been vetted by Chegg as specialists in this subject. This problem has been solved You&x27;ll get a detailed solution from a subject matter expert that helps you learn core concepts. With order reversed, badccos (x2) dydx, abcdcos (x2) dydx, where aa , bb , cc , and dd. Compute R 1 0 R 1 x exydydx. Then evaluate the integral with the order reversed. Evaluate the integral 2 0 2 y cos(x2) dxdy by reversing the order of integration. integral10 integral e e y xln x dx dy. Question Evaluate the integral by reversing the order of integration. I'm not quite sure what to do about the term 4x x2. The best way to reverse the order of integration is to first sketch the region given by the original limits of integration. The value of integral is < Or 8 1 3 L" "9e" a 0 3y 00 9e dxdy. You&x27;ll get a detailed solution from a subject matter expert that helps you learn core concepts. There are 2 steps to solve this one. We want to evaluate the improper integralIntegral 0 to infinite tan-1 (3x) - tan-1 (2x)x dx. However, sometimes one direction of. by reversing the order of integration. verdy C " Le probably 0 CL 50. (c) Evaluate the integral. NOTE sketching the region helps a) 5 In f (x, y) dy dx; reversing the order gives f (x, y) dx dy, where b C d b) In "mod f (x, y) dy dx; reversing the order gives f (x, y) dx dy. This integral cannot be solved easily without reversing the order since the integr. Evaluate the integral by reversing the order of integration. Step 3. Question 2 (a) Evaluate the following integral by reversing the order of integration 5" "sin (x)dxdy. Expert Answer. Show transcribed image text. Who are the experts Experts are tested by Chegg as specialists in their subject area. e summing up the values of each row). Explore math with our beautiful, free online graphing calculator. This problem has been solved You&x27;ll get a detailed solution from a subject matter expert that helps you learn core concepts. Include a sketch of the region you are integrating over. Changing integration order in an iterated double integral. Calculate the iterated integral by first reversing the order of integration. Solved in 3 steps with 5 images. 100 (1 rating) Step 1. The original integral is &92;int0e&92;int0ln(y) xy dy dx. Changing the order of integration is slightly tricky because its hard to write down a specific algorithm for the procedure. Reversing order of integration for a triple integral. Who are the experts Experts have been vetted by Chegg as specialists in this subject. 7e x2 dx dy. This problem has been solved You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Evaluate the integral by reversing the order of integration. I would like to switch the order of integration for 1 0 x xy2cos(xy)dydx 0 1 x x y 2 c o s (x y) d y d x. Evaluating the integral, 303ysin (x2) dxdy. The bounds I got are 4 &92;leq x &92;leq y3 and 0 &92;leq x &92;leq y3. Show transcribed image text. Evaluate the following integral by reversing the order of integration. Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64 cm2. 09x3y312dydxEvaluate the integral by reversing the order of integration. The integral is written as The limits of integration for the inner integral with respect to are from to 6. With order reversed,. T2 Problem 4. The technique invovles reversing the order of i. Stack Exchange Network. Changing the order of integration is slightly tricky because its hard to write down a specific algorithm for the procedure. 1 1 1x2 0 f(x, y. Select the word or phrase that is closest in meaning to OBSESS. We now approach the skill of describing a region using both orders of integration from a different perspective. integration from 0 to 1 integration from 2y to 2 (ex2) dxdy. Step 3. OD Reverse the order of integration Te SS dx dy Te Te Sketch the region of integration and write an equivalent double integral with the order of integration reversed. Really, the approach is to look at a plot of the integration region. See Answer. Question Reverse the order of integration in the integral I integral02 integralx21 f (x, y) dy dx, but make no attempt to evaluate either integral. Sketch the region of integration and evaluate the integral by reversing the order of integration dy dc y3 1 3. Sketch the region of integration and write an. I&39;m having trouble solving for the new limits when I reverse the order of integration for the integral &92;int01&92;intx1ex&92;over ydydx If someone could help me understand how to solve for the new limits, that would be great. To reverse the order of integration of the given double integral, we need to express the limits of integration as inequalities in terms of the other variable. 1 inside R. So the region is Now we can interpret that rst x ranges from 0 to the curve y 4x2 (or x 4y. Evaluate by reversing the order of integration Z 4 0 Z 2 x 1 y 3 1 dy dx. This problem has been solved You'll get a detailed solution from a subject matter expert that helps you learn core concepts. To reverse the order of integration, we need to break the integral into 2 parts, y< 0 and y> 0. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site. I wish to reverse the order of integration. This problem has been solved You&x27;ll get a detailed solution from a subject matter expert that helps you learn core concepts. (1 to 4) (0 to 4) (6x3y)dxdy. Expert Answer. 1 x01 y x 1y z0 2ydzdydx x 0 1 y x 1 z 0 1 y 2 y d z d y d x. Follow asked Jul 24, 2018 at 1703. 2 As for double integrals we dene the integral of f over a more general bounded region E by nding a large box B containing E and integrating the function that is equal to f in E. Sketch the region of integration for the double integral given by integral 0 to ln2and ex to 2 dydx and change its order of integration. 2 sin (x) (a) dx dy X (b) fre Y dy da. We can evaluate this integral using integration by parts. Previous question Next question. Nov 16, 2022 So, lets see how we reverse the order of integration. Evaluate the integral by reversing the order of integration. Sep 7, 2022 Theorem Double Integrals over Nonrectangular Regions. With order reversed, by reversing the order of integration. There are 2 steps to solve this one. Evaluate the integral R1x2y2xydA. 20611ex2 dx dy3y. 0 1 x 2 1 y sin y d y d x 63. Evaluate the integral by reversing the order of integration. Therefore, the order-reversed integral is badcsin(x2) dydx, where a 0, b 3, c (3y), and d (9y). Evaluating the. We reviewed their content and use. Note that even if we are working with Riemann integrals here, the product function (x, y) f(x, y. The aim is to evaluate the given double integral by reversing the orde. 15) Sketch the region of integration and evaluate the integral309x20 (x3xy2)dy dx. (6 x 2) d x d y. Here we are given integral 0 y cos (x 2) d x d y ; Here x y x . Evaluate the integral by reversing the order of integration Integral 0 to 1 integral 3y to 3 ex2 dxdy. I'm not quite sure what to do about the term 4x x2. Show transcribed image text. Transcribed image text ppd Jo Jo da Write an equivalent double integral with the order of integration reversed. ledly ysr3 f (x y)dxdy Jyx6 J x0 ry1 x6y)dxdy Jy0 Jx3y. Df(x, y)dxdy < D f (x, y) d x d y < . Who are the experts. Question Evaluate the integral by reversing the order of integration. -1 Points DETAILS SCALCET8 15. Previous question Next question. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Choose the correct sketch below that describes the region R from the double integral. Chegg survey fielded between April 23-April 25, 2021 among customers who used Chegg Study and Chegg Study Pack in Q1 2020 and Q2 2021. There are 3 steps to solve this one. Rewrite the given sum of iterated integrals as a single iterated integral by reversing the order of integration, and evaluate (don't forget to sketch the region to figure out. Do not factor. As an example, we will evaluate the integral eq &92;int08&92;inty&92;frac132 ex4&92;,dx. 27 0 3 7e x 4 dx dy 3 y. I don't think I'll need help with the integration, it's just the setting up that gives me the most trouble. 64 0. OB C. This problem has been solved You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Choose the correct graph below. Question Evaluate the integral by reversing the order of integration 0 to 2, y2 to 1, ycos (x3-1) dxdy. Evaluate the integral by reversing the order of integration. Transcribed image text The iterated integral 5&92;x f (x,y) dy dx JO 5x2 can be written, after reversing the order of integration, as an iterated integral of the form 5. The limits in this order are (inner) x from 0 to y; (outer) y from 0 to. Choose the correct sketch below that describes the region R from the double integral. Show transcribed image text. Show transcribed image text. 100 (7 ratings) Step 1. 100 (16 ratings) Step 1. So because one can always interchange finite sums and integration, the only question is about interchanging the limit and the integration. (1) The region of integration contains values of x from 0 to 1. Compute each of the following iterated integrals by reversing the order of integration. By reversing the order of integration, rewrite the following sum as one iterated double integral. Addendum Since you are still unsatisfied with the answers given so far, I will add the following additional bit of explanation. 1e8lnx8eyy1dydx Enter your answer symbolically, Problem &92;7 as in these examples; This problem has been solved You&x27;ll get a detailed solution from a subject matter expert that helps you learn core concepts. Evaluate the integral by reversing the order of integration. Question 2 (a) Evaluate the following integral by reversing the order of integration 5" "sin (x)dxdy. Compute each of the following iterated integrals by reversing the order of integration. ) orary. 0 2 y 2 1 y cos (x 3 1) d x d y 65. Evaluate the integral by reversing the order of integration 3 integral 0 9 integral y2 y cos (x2)dxdy. Sketch the region of integration in the exercise below. Back to top. You should omit the -4x from the integration calculation in the right half. Nov 6, 2013. given that the integral is. Reverse the order of integration in the iterated integral &92;&92;intx0x&92;sqrt2 &92;inty0y2-x2 xex2 &92;,dy &92;space dx. Here&x27;s the best way to solve it. Sketch the region of integration and evaluate the integral by. Expert Answer. Evaluate the integral by reversing the order of integration. The bounds are given as Type I bounds and w. integration from 0 to 1 integration from 2y to 2 (ex2) dxdy. This video c. 3 . Reverse the order of integration of the following integral 2 0 0 2 4xx2 2x 2 x 4 x x 2 dydx d y d x. S 2 1x4 dx dy. Previous question Next question. rewrite the integral. I should mention that I&x27;m following a course on multivariable calculus. Evaluate by reversing the order of integration Z 1 0 Z 3 3y e x 2 dx dy. brainerd craigslist farm and garden, rs3 skill calculator
Question Next Problem Section 12. . Reversing the order of integration
Example &92;(&92;PageIndex5&92;) Changing the Order of Integration. 1 Answer. Double integration 5e2 dxdy Please note that it is 5e (x2). Expert Answer. In other words, it implements the mathematical convention for reversing the limits of integration. Double integral Integral Integration. ) Include a sketch of the region of integration. Question Evaluate the integral by reversing the order of integration. Who are the experts Experts have been vetted by Chegg as specialists in this subject. Then, we have the. &92;int 0 1 &92;int y 1&92;sin x2&92; dx&92; dy . Answer to Solved 61-66 Evaluate the integral by reversing the order of. you can still do the integration, but you will have to split things up into two integrals, one for 0&92;le y&92;le 1. Mean Geometric Mean Quadratic Mean Average Median Mode Order Minimum Maximum Probability Mid-Range Range Standard Deviation Variance Lower Quartile Upper Quartile Interquartile Range Midhinge Standard Normal Distribution. That is, we start with a given function, f(x) say, and. Expert Answer. Step by step. Hi, I want to reverse the order of this integration; integral(from x0 to x3) integral(from ysqrt(x3) to y1) of e(y3) dy dx How do I change the limits of. -2204-y dx dy calculus Rewrite the given sum of iterated integrals as a single iterated integral by reversing the order of integration, and evaluate. Sketch the region of integration, reverse the order of integration, and evaluate the integral. I know how to graphically change the limits of integration of a double integral. (10 marks). (6 x 2) d x d y. As such it might be more appropriate to write inta,b f(x)dx rather than intab f(x)dx for the "signed area" model of integration you have in mind. Question Evaluate the integral by reversing the order of integration. Who are the experts Experts have been vetted by Chegg as specialists in this subject. Sketching in and of itself doesn't seem particularly necessary for these integrals, but it'll become more useful when you want to switch the order of integration or whatever later on. Here&x27;s the best way to solve it. First make a substitution and then use integration byparts to evaluate the integral. Reverse Order of Integration. Reverse the order of integration for the integral. f (x,y) dy dx (Type exact answers. Who are the experts Experts are tested by Chegg as specialists in their subject area. See Answer. I&39;m having trouble solving for the new limits when I reverse the order of integration for the integral &92;int01&92;intx1ex&92;over ydydx If someone could help me understand how to solve for the new limits, that would be great. Who are the experts. user499701 user499701. 32 9-4x2 16x dy dx 0 (34) de SS SISTE (28. Evaluate the integral by reversing the order of integration. Sketch the region of integration for the iterated integral, and reverse the order of integration. sin (x) dx dy d sin (x) dy dx, a c and d " 1 Y. 1See more. Show transcribed image text. 100 (5 ratings) Step 1. Evaluate the integral by reversing the order of integration. 1 Answer. integrate 0 between 3 integrate 3y between 9 11ex2 dx dy Show transcribed image text There are 3 steps to solve this one. (a) Sketch the region R in the plane. Advanced Engineering Mathematics. 1 C. Write an equivalent double integral with the order of integration reversed. Expert Solution. arom 2. 10882 0 1 8 y 8 e x 2 d x d y . cos (3 x2) dx dy. The reversed order of integration is Integrate. Integral64 0 integral4 3 squareroot y 3ex4 dx dy. &92;int01 &92;intx1 &92;cos (y2) d y d x . Change the order of integration to evaluate. Calculus questions and answers. We reviewed their content and use your feedback to keep the. Examples of Reversing the Order of Integration David Nichols 1. Calculus questions and answers. Evaluate the integral by reversing the order of integration. 2 8 dx dy Need Help Read It Talk to a Tutor Submit Answer. Question Evaluate the integral by reversing the order of integration. Advanced Math. 5 Marks (b) Evaluate the following integral using the cylindrical coordinates V x2 y2dzdydx. Evaluate the integral after reversing the order. Evaluate the following integral after converting to polar coordinates (0 to 1) (y to sqrt (2-y2. It is given that 0 1 3 3 y 5 e x 2 d x d y. Question Evaluate the integral by reversing the order of integration. See Answer. Who are the experts Experts have been vetted by Chegg as specialists in this subject. Consider the region bounded by the curves determined by -2x y2 6 and -x y -1. 8 2 (71) The reversed order of integration is dx dy. While studying Advanced Engineering Mathematics (Stroud) book, I encountered with the following statement for reversing the limits of an integration 0 f(t)dt 0 f(t)d(t) 0 f(t)dt 0 f (t) d t 0 f (t) d (t) 0 f. Add a comment. 27 0. This problem has been solved You&x27;ll get a detailed solution from a subject matter expert that helps you learn core concepts. To integrate with respect to x x x first, we need to describe the range of y y y values independently of x x x. (1 point) Evaluate the integral by reversing the order of integration. Previous question Next question. Question Evaluate the integral 101ycos (x2) dxdy 01y1cos (x2) dxdy by reversing the order of integration. Transcribed image text Sketch the region of integration, reverse the order of integration, and evaluate the integral. Write an equivalent double integral with the order of integration reversed. Evaluate the integral by reversing the order of integration. For each value of x, the region contains the points between y x12 and y 1. Example 18. So the rst step to computing the above iterated integral is to nd R 1 x exydy. Evaluate the integral R1x2y2xydA. Question Sketch the region of integration, reverse the order of integration and then evaluate the following integrals. Find the average value of F (x, y, z) over the given region. Sometimes reversing the order of integration will mean that the sum of two or more iterated integrals is the the equivalent of one iteration taken in the opposite order. We reviewed their content and use your feedback to keep the. The objective is to evaluate the integral by reversing the order of integration. ) orary. But, I get the wrong answer. Show transcribed image text. 64 0. 2-1 1 D. Verify your answer by evaluating both the integrals. What this means is that we recognize the given integral as a double integral over some region D x y D. cos (3 x2) dx dy. The original integral is &92;int0e&92;int0ln(y) xy dy dx. Thus the region is also sandwiched between the. Individual results may vary. Do not evaluate it. (Hint When you change to dydx, be sure to also change the bounds of integration. Evaluate the integral by reversing the order of integration. Evaluate the Integral by reversing the order of integration. 2 As for double integrals we dene the integral of f over a more general bounded region E by nding a large box B containing E and integrating the function that is equal to f in E and 0 outside E over the lager box B. ) Previous question Next question. It is given that 0 1 3 3 y 5 e x 2 d x d y. Evaluate the integral by reversing the order of integration integralsquare root y2 integral04 cos (1 x3) dx dy. Question Evaluate the integral by reversing the order of integration. Transcribed Image Text Problem 6 Evaluate the following integral by reversing the order of integration. square roots sqrt (x),. 100 (16 ratings) Step 1. With order reversed,. We now restrict our attention to some special regions. Question 51, 52, 53, 54, 55 and 56 Evaluate the integral by reversing the order of integration. Help Entering Answers (1 point) Evaluate the integral by reversing the order of integration 1033y15e5x2 dx dybadc013y315e5x2 dx dyabcd functions equation editor dy dx dy dx where aa functions equation editor bb functions equation editor cc functions equation. 100 (16 ratings) Step 1. What I like to do is to make the limits generic. Question Evaluate the integral by reversing the order of integration. Mar 15, 2019 by reversing the order of integration, however, I am unsure how to go about doing it. Step 3. 1 0 3 7e x 2 dx dy 3y Expert Answer. Question 2. 2 2-X I s f(x,y) dy dx -1 0 Sketch the region of integration. 1 Answer. Do not evaluate. Question Evaluate the integral by reversing the order of integration of R 0 R y cos(x 2)dxdy and R 1 0 R 2 arcsin y cos(x) p 1 cos2(x)dxdy. The integral is written as The limits of integration for the inner integral with respect to are from to 6. Calculus questions and answers. . unagi bleach