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khanacademy.org
Integration by parts: ∫ln(x)dx (video) | Khan Academy
This video shows how to find the antiderivative of the natural log of x using integration by parts. We rewrite the integral as ln(x) times 1dx, then choose f(x) = ln(x) and g'(x) = 1. The antiderivative is xln(x) - x C.
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