Who's up to the challenge? 55

Calculus Level 5

\[\large \int _{ 0 }^{ \infty }{ \dfrac { { x }^{ 2 }\ln { (2x) } }{ { e }^{ x } } \, dx } =\ln { a } +b-c\gamma \]

If the above equation holds true for positive integers \(a,b\) and \(c\), where \(\gamma\) denotes the Euler-Mascheroni constant, find \(a+b+c\).

×

Problem Loading...

Note Loading...

Set Loading...