Evaluate: (i) `intsin^(-1)(cosx)\ dx ,\ \ 0lt=xlt=pi` (ii) `inttan^(-1){sqrt(((1-cos2x)/(1+cos2x)))}\ dx ,\ \ 0

Evaluate : int tan^(-1){sqrt((1-cos2x)/(1+cos2x))}dx .

intsin^2x/(1+cosx)^2dx

intsin^2x/(1+cosx)^2dx

Evaluate: int_0^pi(xsinx)/(1+cos^2x)dx

Evaluate: int(1)/(sqrt(1+cos2x))dx

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

Evaluate: inttan^(-1){sqrt(((1-sinx)/(1+sinx)))} dx , -pi//2

Evaluate int(cosx-cos2 x)/(1-cos x) dx

Evaluate : (i) intsin^(-1)(3x-4x^(3))dx (ii) intsin^(-1)((2x)/(1+x^(2)))dx (iii) inttan^(-1)sqrt((1-x)/(1+x))dx (iv) intsin^(-1)sqrt((x)/(a+x))dx

int_(0)^(200 pi) sqrt((1-cos2x)/(2))dx=