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Can you please give a simple way of doing this question. Thanks 

 May 11, 2019
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The integration region is shown in purple.  The bottom curve is f(x) = x1/3

 

The simple way to evaluate this integral is to switch order of integration and do.

 

\(\displaystyle \int_0^1\int_0^{y^3}~e^{y^4}~dx~dy\)

 

This integral should be pretty simple.  Give it a try.

 May 11, 2019

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