Is Integration by parts the way to go?
Calculus
Level
4
\[ \int_0^1 x^{50} (\ln x)^{150} \, dx \]
If the value of the integral above is equal to
\[ \dfrac{A!}{B^C}, \]
where \(A,B,\) and \(C\) are positive integers, find the value of \(A+B+C\).
Bonus: Generalize \( \displaystyle \int_0^1 x^{m} (\ln x)^{n} \, dx \).
by
Vighnesh Shenoy