# What is the antiderivative of #ln(x^3)/x#?

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We see that integration by parts isn't even necessary!

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The antiderivative of ( \frac{\ln(x^3)}{x} ) with respect to ( x ) is ( \frac{1}{2}(\ln(x))^2 + C ), where ( C ) is the constant of integration.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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