# Integral 1

Calculus Level 5

Evaluate:

$\large \int_{0}^{\pi/2} \sin x \cos x \sqrt{\tan x}\ln (\tan x) \, dx$

The answer can be expressed as $$\dfrac{\pi\left(b-\pi\right)\sqrt c}a$$, where $$a$$, $$b$$, and $$c$$ are positive integers and $$c$$ is square-free; find $$100a+10b+c$$.

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