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

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

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

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

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

Find the value of int_0^(pi/2) cosx/(1+sinx)^2dx

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 .

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

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

int_0^(pi/4) (1)/(1-sinx)dx

int_0^(pi/4) (1)/(1+sinx)dx