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Integrate $\int_0^1\int_{\sqrt{x}}^{1}e^{y^3}dydx$

Change the order of integration and compute this integral 
$$\int_0^1\int_{\sqrt{x}}^{1}e^{y^3}dydx.$$

Multivariable Calculus Integrals
Brandon 1212 Brandon 1212
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Hi, Please see the answer in the attached file.

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Malindad Malindad
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The answer is accepted.
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