Forgot password? New user? Sign up
Existing user? Log in
∫0∞ln(x)1−x2dx\int _{ 0 }^{ \infty }{ \frac { \ln { ( } x) }{ 1-x^{ 2 } } dx } ∫0∞1−x2ln(x)dx
The above integral is equal to −aπbc\dfrac{-a\pi^b}{c}c−aπb for positive integers a,ba,ba,b and ccc with aaa and ccc being coprime. Evaluate a+b+ca+b+ca+b+c.
Note: You are given that ζ(2)=π26\zeta(2) = \dfrac{\pi^2}{6} ζ(2)=6π2.
inspired by Vishwak Srinivasan
Problem Loading...
Note Loading...
Set Loading...