(D) Find `int_(1)^(sqrt3) dx/(1+x^2)`

Find int(xsin^(-1)x)/(sqrt(1-x^2))dx

Evaluate: int_1^(sqrt(3))(dx)/(1+x^2)

The value of the integral I=int_((1)/(sqrt3))^(sqrt3)(dx)/(1+x^(2)+x^(3)+x^(5)) is equal to

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

Find : int(xsin^(-1)x)/(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

int_(-1/sqrt3)^(-1/sqrt3)(x^4)/(1-x^4)cos^(- 1)((2x)/(1+x^2))dx

Find : int_0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)^(3/2))dx

Evaluate : (i) int_(-oo)^(oo) (dx)/(x^(2)+2x+2) , (ii) int_(sqrt(2))^(oo)(dx)/(xsqrt(x^(2)-1)) , (iii) int_(0)^(4)(x^(2))/(1+x)dx (iv) int_(0)^(pi//2) sqrt(costheta)sin^(3)theta

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