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Evaluate int(log(e)x)^(2)dx...

Evaluate `int(log_(e)x)^(2)dx`

Text Solution

Verified by Experts

The correct Answer is:
`x*(log_(e)x)^(2)-2(xlog_(e)x-x)+c `
`int 1*(log_(e)x)^(2)dx`
`=x*(log_(e)x)^(2)-int 2(log_(e)x)/(x)*xdx `
`=x*(log_(e)x)^(2)-2int log_(e)xdx `
`=x*(log_(e)x)^(2)-2(xlog_(e)x-x)+c `
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