2. Sketch the domain of the integral 1 - T₁ T² 0 = xey y²(1 — y²) dy dx . Be sure to indicate clearly (e.g. by shading) which region of your sketch is the domain. By exchanging the order of integration, evaluate I.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Sketch the domain of the integral
I
=
1
To Sy²
xey
y² (1 - y²)
dy dx .
Be sure to indicate clearly (e.g. by shading) which region of your sketch is the domain. By
exchanging the order of integration, evaluate I.
Transcribed Image Text:2. Sketch the domain of the integral I = 1 To Sy² xey y² (1 - y²) dy dx . Be sure to indicate clearly (e.g. by shading) which region of your sketch is the domain. By exchanging the order of integration, evaluate I.
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