The integral from 0 to pi/2 of 1/(1 + (tanx)^sqrt2) dx.
The Attempt at a Solution
I tried some substitutions but it just made the problem more complicated. I also multiplied by (tanx)^sqrt2 in the numerator and denominator in an attempt to solve it using partial fractions. That ended up with a complex solution which I know is wrong. If it matters I plugged it into my calculator and got about .785. Any nudge in the right direction would be great. Also, is there a way to use equations without having to type it all out?