What is the antiderivative of #(2x^2 - 5)(x^2 + 1)#?
The question you are asking can be written as:
First, simplify the integral by distributing the binomials.
Split this up into three separate integrals:
The multiplicative constants attached to the fronts of the integrals will just be multiplied with the rest of the antiderivatives:
Applying the rules gives:
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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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