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Calculate the given iterated integrals ∫_{0}^{2}dy ∫_{0}^{y}y^{2}* e^{xy}dx

My 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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# Iterated integrals

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