`int cos x^(0)dx=`

underset equal to int(cos x)/(x)dx=(pi)/(2) then int_(0)^(oo)(cos^(3)x)/(x)dx is

int_(0)^(pi) xsin x cos^(4)x dx=

int_(0)^(pi//2) (sinx )/(sin x + cos x ) dx=

int_(0)^( pi)|cos x|^(3)dx

int_(0)^(pi/2)(sin^(2)x*cos x)dx=

int_(0)^(pi)sin 5 x cos 4x dx=

If int_(0)^(npi) f(cos^(2)x)dx=k int_(0)^(pi) f(cos^(2)x)dx , then the value of k, is

Prove that : int_(0)^(a) f(x) dx = int_(0)^(a) f(a-x)dx hence evaluate : int_(0)^(pi//2) (sin x)/(sin x + cos x) dx

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