`int sin^-1x +x/(1-x^2)dx`

The integral int_-a^a (sin^2x)/(1-x^2)dx,0ltalt1 , is equal to (A) int_-a^a (sin^2x)/(1+x^2)dx (B) 2int_0^a (sin^2x)/(1-x^2)dx (C) int_a^0 (sin^2x)/(1+x^2)dx (D) 0

Evaluate: int(sin^(-1)x)/(x^2)\ dx

int(sin^(- 1)x)/((1-x^2)^(1/2)) dx

int(sin^(- 1)x)/((1-x^2)^(3/2))dx

For x >1,int sin^(- 1)((2x)/(1+x^2))dx is equal to

int_0^(1/2) e^(sin^-1x)/sqrt(1-x^2)dx

Evaluate: inte^(sin^-1x)/sqrt (1-x^2)dx

int(e^x[1+sqrt(1-x^2)sin^-1x])/sqrt(1-x^2)dx

Evaluate: (i) int(cossqrt(x))/(sqrt(x))\ dx (ii) int(sin(tan^(-1)x)/(1+x^2)\ dx

int_-1^1 (x.sin^-1x)/(sqrt(1-x^2)) dx =2