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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
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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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 - \(\frac{32}{5}\) - \(\frac{2}{3}\)
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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