# Fifty shades of integration?

Calculus Level 5

$\large \displaystyle \large \int_{0}^{1} x^{2} (1-x)^4 \ln \left(\frac{1}{x}\right ) \, dx$

If the value of the integral above is equal to $$\dfrac ab$$, where $$a$$ and $$b$$ are coprime positive integers, find $$a+b$$.

×

Problem Loading...

Note Loading...

Set Loading...