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int(x^3)/(x-2)dx...

`int(x^3)/(x-2)dx`

Text Solution

Verified by Experts

We have given,
`x^3/(x−2) =x^2+2x+4+8/(x−2)`
So
`intx^3/(x−2)dx=int(x^2+2x+4+8/(x−2))dx`
`=x^3/3+x^2+4x+8ln|x−2|+C`
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