A calculus problem by Kïñshük Sïñgh

Calculus Level 4

0xex1e2xdx=?\int _{ \infty }^{ 0 }{ \frac { x{ e }^{ -x } }{ \sqrt { 1-{ e }^{ -2x } } } } \, dx = \, ?

Clarification: The lower limit is indeed \infty, and not -\infty.

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