- #1

Kork

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**1. The problem statement, all variables and given/known data**

Calculate the given iterated integrals ∫

_{0}

^{2}dy ∫

_{0}

^{y}y

^{2}* e

^{xy}dxMy attempt:

∫

^{2}

_{0}dy[e

^{xy}*y]

^{y}

_{0}

= ∫

^{2}

_{0}e

^{y*y}*y - e

^{x*0}*0

= ∫

^{2}

_{0}e

^{y2}*y dx

= [e

^{y^2}]*y]

^{2}

_{0}= 2e

^{4}

Is this correct?

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