- #1
Raghav Gupta
- 1,011
- 76
Homework Statement
$$ \int_0^{\pi} \frac{x(sinx)^{2n}}{(sinx)^{2n}+(cosx)^{2n}} $$ =
A) π2
B) 2π2
C) π2/4
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 π2/4
But is it true for all n?