3 studs

Calculus Level 3

0π/2exsinxcosxdx\large \int_{0}^{\pi /2} e^x\sin x\cos x \, dx

If the above integral can be expressed asa+ebπ/cd, \large \dfrac{a+{e^{{b\pi} / {c}}}}{d} , where a,b,ca,b,c and dd are positive integers with bb and cc coprime, find the value of a+b+c+da+b+c+d.


This problem is original.
×

Problem Loading...

Note Loading...

Set Loading...