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