Consider the following integral. Sketch its region of integration in the xy-plane. 0 LL 9-x² 6xy dy dx 3 -2 (a) Which graph shows -3 the region of integration in the xy-plane? ? (b) Evaluate the integral. 3 2 1 -2 -3 -3 -2 -1 -3 -2 -1 A C 2 2 -3 -2 -1 -3 -2 -1 B D 1 2

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
Section8.2: Integration By Parts
Problem 3E
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Question
Consider the following
integral. Sketch its
region of integration in
the xy-plane.
.0
LL
9-x²
6xy dy dx
3
-2
(a) Which graph shows -3
the region of integration
in the xy-plane? ?
(b) Evaluate the integral.
3
2
1
-2
-3
-3 -2 -1
-3 -2 -1
A
C
2
2
-3 -2 -1
-3 -2 -1
(Click on a graph to enlarge it)
B
D
3
X
Transcribed Image Text:Consider the following integral. Sketch its region of integration in the xy-plane. .0 LL 9-x² 6xy dy dx 3 -2 (a) Which graph shows -3 the region of integration in the xy-plane? ? (b) Evaluate the integral. 3 2 1 -2 -3 -3 -2 -1 -3 -2 -1 A C 2 2 -3 -2 -1 -3 -2 -1 (Click on a graph to enlarge it) B D 3 X
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