Consider the following integral. Sketch its region of integration in the xy-plane. 0 If (a) Which graph shows the region of integration in the xy-plane? A (b) Evaluate the integral. √16-22 6xy dy dx 3₁ --1 -2 A (Click on a graph to enlarge it) B

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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Consider the following integral. Sketch its region of integration in the xy-plane.
0
0
[IM
(a) which graph shows the region of integration in the xy-plane? A ✓
(b) Evaluate the integral.
16-x²
6xy dy dx
2
-3 -2 -1
-3 -2
-1
A
y
с
2
3
2
-3 -2
-3 -2
(Click on a graph to enlarge it)
B
4
D
2
2
3
3
Transcribed Image Text:Consider the following integral. Sketch its region of integration in the xy-plane. 0 0 [IM (a) which graph shows the region of integration in the xy-plane? A ✓ (b) Evaluate the integral. 16-x² 6xy dy dx 2 -3 -2 -1 -3 -2 -1 A y с 2 3 2 -3 -2 -3 -2 (Click on a graph to enlarge it) B 4 D 2 2 3 3
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