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r3 Consider the integral e dady. (i) Sketch the region of integration. (ii) Change the order of integration and, hence, evaluate the integral.

r3 Consider the integral e dady. (i) Sketch the region of integration. (ii) Change the order of integration and, hence, evaluate the integral.

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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1. So -² dady. (i) Sketch the region of integration. (ii) Change the order of integration and, hence, evaluate the integral. (b) Consider the parallelogram P bounded by y = x+1, y=3(x − 1), y = x and y = 3x in the first quadrant (see picture below). Evaluate the integral Y N₂- (y x) (y - 3x) dxdy P after taking the change of coordinates (x, y) → (u, v) with x = u v and y = 3u V. (a) Consider the integral 2 1 1 2
Transcribed Image Text:1. So -² dady. (i) Sketch the region of integration. (ii) Change the order of integration and, hence, evaluate the integral. (b) Consider the parallelogram P bounded by y = x+1, y=3(x − 1), y = x and y = 3x in the first quadrant (see picture below). Evaluate the integral Y N₂- (y x) (y - 3x) dxdy P after taking the change of coordinates (x, y) → (u, v) with x = u v and y = 3u V. (a) Consider the integral 2 1 1 2
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