# How do you integrate #int-12x^2(-4x^3+2)^-3# using substitution?

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To integrate ( \int -12x^2(-4x^3 + 2)^{-3} ) using substitution, you can let ( u = -4x^3 + 2 ). Then, find ( \frac{du}{dx} ) and solve for ( dx ). After that, substitute ( u ) and ( du ) into the integral. This will transform the integral into a simpler form, making it easier to solve.

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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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