Express the double integral || (x+1)dA, where Q is the region in the upperplane (i.e. y20) between the circles x² +y² = 4 and x² +y = 9, in polarcoordinates.2л 3a) [ [(r? cose +r)drd00 2b) [[(rcos0+1)drd e022л 31 3c) [ [(rcose+1)drde0 2d) [[(r? cose + r)drd®02e) [[(r? cose+r)drd004

The integral is,∫∫Ωx+1dA, where Ω is the region in the upper half plane between x2+y2=4 and x2+y2=9

Express the double integral || (x+1)dA, where N is the region in the upper plane (i.e. y2 0) between the circles x +y = 4 and x +y} = 9, in polar coordinates. 2л 3 a) [ [(r² cose +r)drd® 0 2 b) [[(rcos0 +1)drd e 02 2л 3 c) [ [(rcose +1)drd e 0 2 d) [[(r? cose +r)drd0 02 e) [[(r² cose+r)drd0 04

Express the double integral || (x+1)dA, where N is the region in the upper plane (i.e. y2 0) between the circles x +y = 4 and x +y} = 9, in polar coordinates. 2л 3 a) [ [(r² cose +r)drd® 0 2 b) [[(rcos0 +1)drd e 02 2л 3 c) [ [(rcose +1)drd e 0 2 d) [[(r? cose +r)drd0 02 e) [[(r² cose+r)drd0 04

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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Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

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In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

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Question

Express the double integral || (x+1)dA, where Q is the region in the upper
plane (i.e. y20) between the circles x² +y² = 4 and x² +y = 9, in polar
coordinates.
2л 3
a) [ [(r? cose +r)drd0
0 2
b) [[(rcos0+1)drd e
02
2л 3
1 3
c) [ [(rcose+1)drde
0 2
d) [[(r? cose + r)drd®
02
e) [[(r? cose+r)drd0
04

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