# I am back!

Calculus Level 4

$\large \int_{- {\pi}/{2}}^{{\pi}/{2}} e^{x} \cos^2x \, dx$ Given that the integral above can be expressed as $$\displaystyle \frac{a}{b}\sinh \left( \frac{c}{d} \pi \right)$$, where $$a,b,c$$ and $$d$$ are positive integers with $$\gcd(a,b) = \gcd(c,d) = 1$$, find the value of $$a+b+c+d$$.

×