How do I prove that: for all integer n, [math]\displaystyle\int_0^ {\pi/2} {\left[\frac {\text{sin}(nx)} {\text{sin}(x)}\right] ^4}dx =\displaystyle\frac {\pi} {6} n (2n^2+1) [/math]?
How do you deal with being ‘hangry’?