How do you integrate #x(x^(2/3))dx#?
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To integrate ( x(x^{2/3}) ) with respect to ( x ), you can use the power rule for integration.
[ \int x(x^{2/3}) , dx = \int x^{5/3} , dx ]
Applying the power rule, we add 1 to the exponent and divide by the new exponent:
[ = \frac{3}{8}x^{8/3} + 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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