Sunday Afternoon Maths LIII
Posted on 2016-05-29
Lots of ones
Is any of the numbers 11, 111, 1111, 11111, ... a square number?
An integral
Source: Alex Bolton (inspired by Book Proofs blog)
What is
$$\int_0^{\frac\pi2}\frac1{1+\tan^a(x)}\,dx?$$
If you enjoyed these puzzles, check out Advent calendar 2023,
puzzles about irreducible numbers, or a random puzzle.
puzzles about irreducible numbers, or a random puzzle.