# My eleventh integral problem

Calculus Level 4

$\large \displaystyle \int_{0}^{\pi/2} e^{x} \cos^{2} x \, dx$

It is given that the above integral can be expressed in the form $\large \dfrac{a e^{{b \pi}/{c}}-d}{f}$ where $$a, b, c, d, f$$ are positive integers, $$\gcd(a,f) = \gcd(b,c) = 1$$.

Find the value of $$a+b+c+d+f$$.

×

Problem Loading...

Note Loading...

Set Loading...