`int_0^pi xcos^2xdx`

Find int_0^pi xsin^2xdx

The value of int_0^(pi/2)cos^2xdx

Evaluate the definite integrals int_0^(pi/2)cos^2xdx

Evaluate the definite integrals int_0^(pi/2) cos2xdx

int_0^(pi/2) cos^5xdx

Evaluate : int_0^(pi/2)cos^3xdx

STATEMENT 1: int_0^pixsinxcos^2xdx=pi/2int_0^pisinxcos^2x dx . STATEMENT 2: int_a^b xf(x)dx=(a+b)/2int_a^bf(x)dx .

Prove that int_0^pi x sin^6xcos^4xdx=pi/2 int_0^pi sin^6xcos^4xdx

int_(0)^(pi/2)cos^2x sin^2xdx

int_0^1 x^2e^xdx