# What is the antiderivative of #(ln x) ^ 2 / x ^ 2#?

The given function is

Differentiating w.r.t x we have

Now changing the variable the integral becomes

using integration by parts

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The antiderivative of (ln x) ^ 2 / x ^ 2 is:

∫ (ln x) ^ 2 / x ^ 2 dx = - (ln x) ^ 3 / 3 + C

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