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Problem 27

Find each double integral over the rectangular region $R$ with the given boundaries.

$$\iint_{R} y e^{x+y^{2}} d x d y ; \quad 2 \leq x \leq 3,0 \leq y \leq 2$$

Answer

$\frac{1}{2}\left(e^{7}-e^{6}-e^{3}+e^{2}\right)$

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## Discussion

## Video Transcript

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