# How do you integrate #int ln(x)/x dx# using integration by parts?

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To integrate ∫ln(x)/x dx using integration by parts, let u = ln(x) and dv = 1/x dx. Then, differentiate u to get du and integrate dv to get v. Apply the integration by parts formula: ∫u dv = uv - ∫v du. Finally, substitute the values of u, v, du, and dv into the formula and simplify the expression to get the result.

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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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