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26-y •IT'w 2. (Section 16.2) Consider ye² dx dy

26-y •IT'w 2. (Section 16.2) Consider ye² dx dy

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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Question
(c) *Set-up* the integral using order \(dA = dy \, dx\). (Do not evaluate).
Transcribed Image Text:(c) *Set-up* the integral using order \(dA = dy \, dx\). (Do not evaluate).
The image shows the following problem for educational purposes: 2. (Section 16.2) Consider the double integral: \[ \int_{-3}^{2} \int_{y^2}^{6-y} ye^{2x} \, dx \, dy \] This integral represents a region in the xy-plane where the integration is performed with respect to \(x\) first, then \(y\). The inner integral is taken from \(y^2\) to \(6-y\), and the outer integral is from \(-3\) to \(2\).
Transcribed Image Text:The image shows the following problem for educational purposes: 2. (Section 16.2) Consider the double integral: \[ \int_{-3}^{2} \int_{y^2}^{6-y} ye^{2x} \, dx \, dy \] This integral represents a region in the xy-plane where the integration is performed with respect to \(x\) first, then \(y\). The inner integral is taken from \(y^2\) to \(6-y\), and the outer integral is from \(-3\) to \(2\).
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