Evaluate `int{(e^(2logx)+e^(3logx))/(x+x^2)}dx.`

Explanation

`int(e^(2Inx)+e3Inx)/(x+x^2)dx=int(e^(Inx^3)+e^(Inx^3))/(x+x^2)dx=int(x^2+x^3)/(x+x^2)dx=intxdx=x^2/2+C`