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Evaluate: int((x+1)/x)(x+logx)^2dx...

Evaluate: `int((x+1)/x)(x+logx)^2dx`

Text Solution

Verified by Experts

The correct Answer is:
`((x+logx)^(3))/(3)+C`
`int(x+logx)^(2)((x+1)/(x))dx`
`=int(x+logx)^(2)(1+(1)/(x))dx`
`=int(x+logx)^(2)(d)/(dx)(x+logx)dx=((x+logx)^(3))/(3)+C`
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