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Find the integralint(x^3-x^2+x-1)/(x-1)d...

Find the integral`int(x^3-x^2+x-1)/(x-1)dx`

Text Solution

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`int(x^(3) -x^(2)-1)/((x-1))dx`
`=int ((x^(2) +1)(x-1))/((x-1))dx`
`= int (x^(2)+1) dx`
`= int (x^(2) dx + int 1. dx =(x^(3))/(3) + x+c`
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