# What is the integral of #int ln x / x dx #?

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The integral of ( \frac{\ln(x)}{x} ) with respect to ( x ) is:

[ \int \frac{\ln(x)}{x} , dx = \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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