# What is the antiderivative of #x/(x^2 + 4)#?

and undoing the substitution:

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The antiderivative of ( \frac{x}{x^2 + 4} ) is ( \frac{1}{2} \ln|x^2 + 4| + 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.

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- How do you evaluate the definite integral #int (4t^3-2t)dt# from [-1,1]?

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