- #1

Raghav Gupta

- 1,011

- 76

## Homework Statement

$$ \int_0^{\pi} \frac{x(sinx)^{2n}}{(sinx)^{2n}+(cosx)^{2n}} $$ =

A) π

^{2}

B) 2π

^{2}

C) π

^{2}/4

D) π/2

## Homework Equations

$$ \int_0^π f(x)dx = \int_0^π f(a-x)dx $$

## The Attempt at a Solution

If we put n = 1, we get the C option π

^{2}/4

But is it true for all n?