# ILATE or LIATE? (Nineteenth integral)

Calculus Level 5

$\displaystyle \int_{0}^{1} \arcsin(x) \ln(x) \, dx$

If the above integral can be expressed in the form

$a - \dfrac{b \pi}{c} - \ln d$,

where $$a, b, c, d$$ are positive integers and $$b, c$$ are coprime, find $$a+b+c+d$$.

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