1. So-² dady.(i) Sketch the region of integration.(ii) Change the order of integration and, hence, evaluate the integral.(b) Consider the parallelogram P bounded by y = x+1, y=3(x − 1), y = x and y = 3x inthe first quadrant (see picture below). Evaluate the integralYN₂-(y x) (y - 3x) dxdyPafter taking the change of coordinates(x, y) → (u, v)with x = u v and y = 3u V.(a) Consider the integral2112

Since you have asked multiple questions so as per guidelines we will solve the first question for…

Answered: r3 Consider the integral e dady. (i)…

r3 Consider the integral e dady. (i) Sketch the region of integration. (ii) Change the order of integration and, hence, evaluate the integral.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.CR: Chapter 8 Review

Problem 11CR

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Question

1. So
-² dady.
(i) Sketch the region of integration.
(ii) Change the order of integration and, hence, evaluate the integral.
(b) Consider the parallelogram P bounded by y = x+1, y=3(x − 1), y = x and y = 3x in
the first quadrant (see picture below). Evaluate the integral
Y
N₂-
(y x) (y - 3x) dxdy
P
after taking the change of coordinates
(x, y) → (u, v)
with x = u v and y = 3u V.
(a) Consider the integral
2
1
1
2

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