3 studs
Calculus
Level
3
\[\large \int_{0}^{\pi /2} e^x\sin x\cos x \, dx\]
If the above integral can be expressed as\[ \large \dfrac{a+{e^{{b\pi} / {c}}}}{d} , \] where \(a,b,c\) and \(d\) are positive integers with \(b\) and \(c\) coprime, find the value of \(a+b+c+d\).
This problem is original.
by
Nihar Mahajan