What's the integral of $int (tanx)ln(cosx)dx$ ?

Nov 2, 2015

Use substitution with $u=ln(cosx)$ .

That makes $du = -tanx dx$ and the integral becomes

$-int u du$ .

Finishing the integral is left to the student.

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What's the integral of int (tanx)ln(cosx)dx int (tanx)ln(cosx)dx ?