Fifty shades of integration?
Calculus
Level
4
\[ \large \displaystyle \large \int_{0}^{1} x^{2} (1-x)^4 \ln \left(\frac{1}{x}\right ) \, dx \]
If the value of the integral above is equal to \( \dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).
by
Harsh Shrivastava