What is the antiderivative of # ln x^(1/3)#?
Use integration by parts and simplify
Using the integration by parts formula ...
Simplify ...
hope that helped
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The antiderivative of ( \ln(x^\frac{1}{3}) ) is ( \frac{3}{2}x^{2/3} \ln(x) + 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.
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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