Evaluate `sin^(-1)(-cosx)+cos^(-1)(-sinx)`

If y=sin^(-1)(cosx)+cos^(-1)(sinx) , then prove that : dy/dx+2=0 .

int(cosx+sinx)/sqrt(sin2x)dx= (A) sin^-1(cosx+sinx) (B) sin^-1(sinx-cosx) (C) cos^-1(cosx+sinx) (D) none of these

tan^(-1)((cosx+sinx)/(cos x-sinx))

Solve cos^(-1)(cosx)>sin^(-1)(sinx),x in [0,2pi]

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

Evaluate: int1/(sinx+cosx)\ dx

Evaluate: int1/(cosx-sinx)\ dx

Evaluate int_(0)^(pi//3)|(sin^(-1)sinx)/(cos^(-1)cosx)|dx

Evaluate int_(0)^(pi//3)|(sin^(-1)sinx)/(cos^(-1)cosx)|dx