# How do you integrate #((x^2) / (16-x^3)^2) dx#?

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To integrate ((x^2) / (16-x^3)^2) dx, you can use a substitution method. Let u = 16 - x^3. Then, differentiate both sides with respect to x to find du/dx. After finding du/dx, solve for dx in terms of du. Next, substitute u and du into the integral and integrate with respect to u. Finally, revert back to the variable x by substituting u = 16 - x^3 back into the result obtained from integrating with respect to u.

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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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