# How do you integrate #(-3/x) + (lnx/x^3) dx#?

Prerequisite : The Rule of Integration by Parts (IBP) :

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The integral of ( \frac{-3}{x} + \frac{\ln(x)}{x^3} ) with respect to ( x ) is ( -3\ln|x| + \frac{\ln(x)}{2x^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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