Integrate the following functions w.r.t.x `(e^(5logx) - e^(4logx))/(e^(3logx) - e^(2logx))`

Explanation

`(e^(5 logx) - e^(4 logx))/(e^(3 logx) -e^(2logx)) = (x^5-x^4)/(x^3-x^2)`
=`(x^2(x^3-x^2))/(x^3-x^2) = x^2`
`e^(a logx) = e^(logx^a) = x^a`
therefore The required integral =`int x^2 dx = x^3/3 +c`