Evaluate integral of natural log of 1-x with respect to x

Math
Integrate by parts using the formula , where and .
Combine and .
Since is constant with respect to , move out of the integral.
Simplify the expression.
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Simplify.
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Multiply by .
Multiply by .
Reorder and .
Divide by .
Split the single integral into multiple integrals.
Since is constant with respect to , move out of the integral.
Let . Then , so . Rewrite using and .
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Let . Find .
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Rewrite.
Divide by .
Rewrite the problem using and .
Move the negative in front of the fraction.
Since is constant with respect to , move out of the integral.
The integral of with respect to is .
Simplify.
Replace all occurrences of with .
Evaluate integral of natural log of 1-x with respect to x

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