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Evaluate int(x+1)/(x(x+log(e)x))dx...

Evaluate `int(x+1)/(x(x+log_(e)x))dx`

Text Solution

Verified by Experts

The correct Answer is:
`log_(e)|x+log_(e)x|+C`
`int(x+1)/(x(x+log_(e)x))dx=int(1+(1)/(x))/(x+log_(e)x)dx`
`=int((x+log_(e)x)')/(x+log_(e)x)dx`
`=log_(e)|x+log_(e)x|+C`
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