9E: Chapter Review Exercises
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Exercise 9E.1
Sketch the regions and evaluate the integrals:
1) ∫ln81∫lny02ex+ydydx
2) ∫20∫2x3y2sin(xy)dydx
3) ∫10∫304x2(y−1)2/3dydx
4) ∫∞−∞∫∞−∞3(x2+1)(y2+1)dydx
5) ∫∫x2+y2≤1ln(x2+y2)dA
6) ∫20∫1y/2yex3dxdy
7) ∫∫QdA(1+x2)(1+y2), where Q is the first quadrant of the xy−plane.
8) ∫∫Rxcos(y)dA, where R is the region bounded by the coordinate axes and the curve y=1−x2.
- Answer
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