2 subs to kill it!

Calculus Level 4

\[ \int_{0}^{\infty}\sin^{-1}(e^{-x})dx = \dfrac{\pi^{\phi}}{\alpha}\ln(\alpha) \]

The equation above holds true for positive integers \(\phi\) and \(\alpha\) with \(\alpha\) being a prime. Submit \(\alpha^{\alpha}+\phi^{\phi}\).


Try a bit harder version here.
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