# How do you find the antiderivative of #3t^2+1#?

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To find the antiderivative of (3t^2 + 1), you integrate each term separately. The antiderivative of (3t^2) is (\frac{3}{3} t^3 = t^3), and the antiderivative of (1) is (t). So, the antiderivative of (3t^2 + 1) is (t^3 + t + C), where (C) is the constant of integration.

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The antiderivative of (3t^2 + 1) with respect to (t) is (\frac{t^3}{1} + t + C), where (C) is the constant of integration. So, the antiderivative is ( \frac{t^3}{3} + t + C ).

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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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