Evaluate the double integral 2y2 the equations y = x², y = 0, and .x = 2. 64 3 O 256 O 32 5 2 3 2xy2dA over the region R bounded by the graphs of
Evaluate the double integral 2y2 the equations y = x², y = 0, and .x = 2. 64 3 O 256 O 32 5 2 3 2xy2dA over the region R bounded by the graphs of
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
![Evaluate the double integral
\[
\iint\limits_{\mathcal{R}} 2xy^2 \, dA
\]
over the region \(\mathcal{R}\) bounded by the graphs of the equations
\(y = x^2\), \(y = 0\), and \(x = 2\).
- \(\frac{64}{3}\)
- 256
- \(\frac{32}{5}\)
- \(\frac{2}{3}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e521a1e-f4ee-4c02-af71-8dfc2cc184d3%2F5c5d2324-94bf-4f97-af6e-57e134befbf2%2Fc5zhyimo_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate the double integral
\[
\iint\limits_{\mathcal{R}} 2xy^2 \, dA
\]
over the region \(\mathcal{R}\) bounded by the graphs of the equations
\(y = x^2\), \(y = 0\), and \(x = 2\).
- \(\frac{64}{3}\)
- 256
- \(\frac{32}{5}\)
- \(\frac{2}{3}\)
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