Evaluate `int (cos^(-1)x)^(3/2)/sqrt(1-x^2)dx`

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

int(1)/(cos^(-1)x.sqrt(1-x^(2)))dx=

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

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

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

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

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

Evaluate: (i) int(a^(x))/(sqrt(1-a^(2x)))dx (ii) int(2x)/(sqrt(1-x^(2)-x^(4)))dx