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int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2...

`int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx))dx`

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` int (e^(5log x)-e^(4log x))/(e^(3log x)-e^(2log x))dx= int(e^(log x^(5))-e^(log x^(4)))/(e^(logx^(3))-e^(log x^(2)))dx`
`=int (x^(5)-x^(4))/(x^(3)-x^(2))dx`
`( :' e^(log x)=x)`
`=int (x^(4)(x-1))/(x^(2)(x-1))dx= intx^(2)dx=(1)/(3)x^(3)+C`
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