Evaluate the following integral

First, let us make the substitution which implies (which further implies that ). Then we have

Next, we integrate by parts with

Therefore, we have

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Stumbling Robot

A Fraction of a Dot
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Evaluate the integral of *arccot e*^{x} / e^{x}

Evaluate the following integral

First, let us make the substitution which implies (which further implies that ). Then we have

Next, we integrate by parts with

Therefore, we have