$\int_0^\frac{\pi}{4} \! \frac{1+\cos^2\theta}{\cos^2\theta} d\theta$
I've been attempting to mix and match identities to make this equation easier to integrate.
Mathematica has given me an answer of $\frac{4 + \pi}{4}$, so I'm trying to get there but am struggling.
Any suggestions? Thanks