(x+sqrt(x^(2)+1))^(3)

int((1)/(sqrt(x))+(2)/(sqrt(x^(2)-1))-(3)/(2x^(2)))dx on (1,oo)

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

Integrating factor of the differential equation (1-x^(2)) (dy)/(dx) + xy = (x^(4)( sqrt(1 -x^(2)))^(3))/((1 + x^(5)) is

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

int(x)/(sqrt(1+x^(2)+sqrt(1+x^(2))^(3)))dx is equal to

If y=(1)/(3)"log" (x+1)/(sqrt(x^(2)-x+1))+(1)/(sqrt(3))"tan"^(-1)(2x-1)/(sqrt(3)) , show that, (dy)/(dx)=(1)/(x^(3)+1)