Mathematics

Problem

The value of

\int_{0}^{\pi/4} (\tan^n(x - [x]) + \tan^{n-2}(x - [x])) dx

(where,

[\cdot]

denotes greatest integer function) is equal to a.

\frac{1}{n}

\frac{1}{n-1}

\frac{1}{n(n-1)}

\frac{1}{n(n+1)}