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b) y- f x* 6(x, y)dA = f, *dxdy 12 Multiple integral (1,1) zy-y = H dy =(2y– y*) - y*ldy =(By* – 12y* + 6y* - y* - y*)dy =(8y* - 12y* + 6ys - 2y) dy -C4y - 6y* + 3y-y*)dy 3x11 H.W. Find I. ly. R, and Ry Integranon m Polar Coordinates To find the integral of a function f(x, y) over a region R, the region is divided into rectangles when we work with polar coordinates (r,e), it is natural to divide R into "polar rectangles".

b) y- f x* 6(x, y)dA = f, *dxdy 12 Multiple integral (1,1) zy-y = H dy =(2y– y*) - y*ldy =(By* – 12y* + 6y* - y* - y*)dy =(8y* - 12y* + 6ys - 2y) dy -C4y - 6y* + 3y-y*)dy 3x11 H.W. Find I. ly. R, and Ry Integranon m Polar Coordinates To find the integral of a function f(x, y) over a region R, the region is divided into rectangles when we work with polar coordinates (r,e), it is natural to divide R into "polar rectangles".

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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78 ll 2_52606602927270... J Juy b) ly- x* 8(x, y)dA = S * x*dxdy 12 Multiple Integral (1,1) = H dy =C(2y- y*)* - y*ldy = , (8y – 12y* + 6y - y6 -y)dy = (8y3 - 12y* + 6y5 - 2y) dy =f(4y – 6y* + 3y - y)dy -度- H.W. Find ly, ly, R, and Ry Integrauon n rolar Coordinates To find the integral of a function f(x, y) over a region R, the region is divided into rectangles when we work with polar coordinates (r, 0), it is natural to divide R into "polar rectangles". 13 Multiple Integral Suppose that a function f(r,0) is defined over a region R bounded by the rays e = a and e = B and the continuous curves r = fi(0) and r = f(0) as shown in the figure below: G-T/2 r= f2(0)
Transcribed Image Text:78 ll 2_52606602927270... J Juy b) ly- x* 8(x, y)dA = S * x*dxdy 12 Multiple Integral (1,1) = H dy =C(2y- y*)* - y*ldy = , (8y – 12y* + 6y - y6 -y)dy = (8y3 - 12y* + 6y5 - 2y) dy =f(4y – 6y* + 3y - y)dy -度- H.W. Find ly, ly, R, and Ry Integrauon n rolar Coordinates To find the integral of a function f(x, y) over a region R, the region is divided into rectangles when we work with polar coordinates (r, 0), it is natural to divide R into "polar rectangles". 13 Multiple Integral Suppose that a function f(r,0) is defined over a region R bounded by the rays e = a and e = B and the continuous curves r = fi(0) and r = f(0) as shown in the figure below: G-T/2 r= f2(0)
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