# How do you find the definite integral for: #sqrt(4+3(t^4))dt # for the intervals #[1, 4]#?

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To find the definite integral of ∫sqrt(4 + 3t^4) dt over the interval [1, 4], you would first find the antiderivative of the function and then evaluate it at the upper and lower bounds of integration, subtracting the lower value from the upper value.

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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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