Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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
- \(\frac{32}{5}\)
- \(\frac{2}{3}\)
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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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