# How do you integrate # ln(x+1)/x^2#?

The Rule of Integration by Parts :

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To integrate ( \frac{\ln(x+1)}{x^2} ), you can use integration by parts. Let ( u = \ln(x+1) ) and ( dv = \frac{1}{x^2} , dx ). Then, find ( du ) and ( v ), and apply the integration by parts formula:

[ \int u , dv = uv - \int v , du ]

After integrating by parts, you'll get an expression in terms of ( x ) and ( \ln(x+1) ).

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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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