Can you figure out if this is an integer?

This problem is from the Pan African math Olympiad, before looking at the solution…

An integral from Putnam 1969

Before looking at the solution, give the problem a go!

The Dirichlet integral… with the integrand squared!

Which is larger, e^π or π^e?

In this story we’re going to consider problems of the type which is larger, a^b or b^a. Before looking at the…

The famous sin quotient integral

This integral is extremely famous and it goes as follows:

A tricky looking integral

This integral looks tricky… but is it? Before looking at the solution, give the problem a go!

A square of side length 2 contains 5 points, can you prove that at least two points must be a distance of at most…

A tricky integral using only elementary techniques!

A problem from the Austrian math Olympiad for advanced students

A difficult but interesting limit, can you figure it out?