` int_(0)^((pi)/(4))(sin^((1)/(2))x)/(cos^((5)/(2))x)dx=`

Evaluate: int_(0)^((pi)/(4))(cos^(2)x)/(cos^(2)x+4sin^(2)x)dx

int_(0)^(2 pi)sin^(4)((x)/(2))*cos^(5)((x)/(2))dx

Evaluate int_(0)^((pi)/(2))((sin^(4)x)/(sin^(4)x+cos^(4)x))dx

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

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

int_(0)^((pi)/(2))(1)/(4+5cos x)dx=

int_(0)^((pi)/(2))(x sin x cos x)/(cos^(4)x+sin^(4)x)dx=

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

int_(0)^((pi)/(2))sin(x)4cos(x)e^(2cos x+1)dx

Evaluate : int_(0)^( pi/2)(sin^(5)x)/(sin^(5)x+cos^(5)x)dx