Find the vlaue of `int((cos^(-1)x)^(3))/(sqrt(1-x^(2)))dx`

Evaluate the following : (i) int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx " (ii) " int(sqrt(2+logx))/(x)dx (iii) int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx " (iv) " int(cotx)/(sqrt(sinx))dx

Evaluate int(dx)/((1+x^(2))sqrt(1-x^(2))).

Evaluate: (i) int((sin^(-1)x)^3)/(sqrt(1-x^2))\ dx (ii) int(sin(2+3logx)/x\ dx

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

int(1)/(sqrt(1+cos x))dx

Evaluate : int (dx)/( (1 - x^(2)) sqrt( 1 + x^(2)))

Evaluate: int(cos^2x-sin^2x)/(sqrt(1+cos4x))\ dx

Evaluate: int(sqrt(x))/(sqrt(x)-x^(1/3))dx

Evaluate: int(sqrt(x))/(sqrt(x)-x^(1/3))dx

Evaluate: int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx