# How do you find the antiderivative of #int x^4/(4-x^2) dx#?

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To find the antiderivative of ( \int \frac{x^4}{4-x^2} , dx ), you can use partial fraction decomposition. Rewrite the integrand as ( \frac{x^4}{(2-x)(2+x)} ). Then, express it as the sum of two fractions with undetermined coefficients. After that, solve for those coefficients. Once you have the partial fraction decomposition, integrate each term separately. This will give you the antiderivative of the original function.

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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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