`int(sqrt(2x+3))/(x)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(3sqrt(x)+(5)/(x))dx

Evaluate int(x+1)/(sqrt(2x+3))dx

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

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

int(3sqrt(x)+5+(2/x))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(x+1)sqrt(2x^2+3)dx

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

Evaluate: int(5x^(3)+2x^(-5)-7x+(1)/(sqrt(x))+(5)/(x))dx