Evaluate the following integrals over the given domains. (a) (4x2 +9y²)dx dy Rectangle with vertices (0,0), (3,0), (3,2), and (0,2). fa-x)dx dy Triangle bounded by positive x and y axes, line y = 4- 2x. (b) Region bounded by positive y-axis, line y = v3x, circle x* + y? = 4. (c) xy dxdy | xy dxdy Region bounded by positive x-axis, line y v3x, circle x2 + y? = 4. (d)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Evaluate the following integrals over the given domains.
(a)
|| (4x2 +9y?)dx dy Rectangle with vertices (0,0), (3,0), (3,2), and (0,2).
[4-x*)dx dy
Triangle bounded by positive x and y axes, line y = 4 - 2x.
(b)
Region bounded by positive y-axis, line y = v3x, circle
x? + y? = 4.
(c)
xy dxdy
| xy dxdy
Region bounded by positive x-axis, line y v3x, circle
x2 + y? = 4.
(d)
Transcribed Image Text:2. Evaluate the following integrals over the given domains. (a) || (4x2 +9y?)dx dy Rectangle with vertices (0,0), (3,0), (3,2), and (0,2). [4-x*)dx dy Triangle bounded by positive x and y axes, line y = 4 - 2x. (b) Region bounded by positive y-axis, line y = v3x, circle x? + y? = 4. (c) xy dxdy | xy dxdy Region bounded by positive x-axis, line y v3x, circle x2 + y? = 4. (d)
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