A clever integral

I was recently reminded of this problem from one of my favorite books: Problem-Solving Through Problems. The problem originally appeared in the 1980 Putnam Competition.

Evaluate the following definite integral.

\int_0^{\pi/2} \frac{\mathrm{d}x}{1 + (\tan x)^{\sqrt{2}}}

The solution:
[Show Solution]

2 thoughts on “A clever integral”

Leave a Reply

Your email address will not be published. Required fields are marked *