`int_0^(pi/2) (1+sinx)^3cosxdx`

Evaluate int_0^(pi/2) x/(sinx+cosx)dx

Evaluate: int_0^(pi//2)x/(sinx+cosx)dx

int_0^(pi/2) cosx/(1+sinx)dx

If the function f : [-1,1] to R is continuous and even, then show that int_(0)^(pi//2)f(cos2x)cosxdx=sqrt(2)int_(0)^(pi//4)f(sin2x)cosxdx .

int_0^(pi/2) (sinx)/(1+Cos^2x)dx

Evaluate: int_0^(pi//2) e^x (sinx-cosx) dx

Evaluate : int_0^(pi/2) x sinx dx

int_(0)^( pi/2)sin^(6)x cosxdx

Evaluate int_0^(pi/2) sqrt(1+sinx) dx

Evaluate int_0^(pi/2)sinx.log cosx dx