`int_(0)^(pi)x^2 cos x dx`

Evaluate : int_(0)^(pi) |cos x| dx

int_0^(pi//2) x^2 cos 2x dx

(i) int_(0)^(pi//2) x cos x dx (i) int_(1)^(3) x. log x dx

If I_(1)=int_(0)^(pi//2) x sin x dx and I_(2) = int_(0)^(pi//2) x cos x dx ,then which one of the following is true ?

int_(0)^( pi)|cos x|dx=2

Evaluate the following integral: int_0^(pi//2)x^2cos2x\ dx

int_(0)^(2 pi)|cos x|dx

int_(0)^(pi//2) x^(2) cos x dx