Who's up to the challenge? 55

Calculus Level 5

0x2ln(2x)exdx=lna+bcγ\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,ba,b and cc, where γ\gamma denotes the Euler-Mascheroni constant, find a+b+ca+b+c.

×

Problem Loading...

Note Loading...

Set Loading...