Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R. [[x R: sector of a circle in the first quadrant bounded by y = + = 5 13 12 x da 0 12x 5 V 169-x² √169-1² J5y/12 x dy dx x dy dx x dx dy 169x², 12x - 5y = 0, y = 0

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R.
в уста
R: rectangle with vertices (0, 0), (0, 1), (9, 1), (9, 0)
1
6²
9
1.1²
-1/⁰1/²0
=
xy dx dy=
9
xy dy dx =
Transcribed Image Text:Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R. в уста R: rectangle with vertices (0, 0), (0, 1), (9, 1), (9, 0) 1 6² 9 1.1² -1/⁰1/²0 = xy dx dy= 9 xy dy dx =
Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R.
[[x
R: sector of a circle in the first quadrant bounded by y =
+
=
5
13
12
x da
0
12x
5
V 169-x²
√169-1²
J5y/12
x dy dx
x dy dx
x dx dy
169x², 12x - 5y = 0, y = 0
Transcribed Image Text:Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R. [[x R: sector of a circle in the first quadrant bounded by y = + = 5 13 12 x da 0 12x 5 V 169-x² √169-1² J5y/12 x dy dx x dy dx x dx dy 169x², 12x - 5y = 0, y = 0
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