100 Followers Problem

Calculus Level 4

\(\text{Evaluate the integral}\).

\[\Large \int \frac{\text{dx}}{\sqrt{e^{5x}}\cdot \sqrt[4]{(e^{2x} + e^{-2x})^3}} = -\sqrt[p]{( q + e^{-rx})} + c\]
\(\text{Find p + q + r}\).

Note: \(\text{c is integration constant}\)

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