Integral of $\int \sin^{-1} \left (e^{\sqrt x}\right )\, \mathrm{d}x$

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How do I evaluate the following;

$$\displaystyle \int \sin^{-1} \left (e^{\sqrt x}\right ) \mathrm{d}x$$

$$\displaystyle \int \sin^{-1} \left (e^{-\sqrt x} \right )\mathrm{d}x$$

Is there a closed form? How do I solve for it?

No substitution seems to work.