What is the antiderivative of #sqrt(4x² + 1)#?
using the identity that leaves: we use the following hyperbolic identities
so the integral becomes within this for so
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The antiderivative of ( \sqrt{4x^2 + 1} ) with respect to ( x ) is ( \frac{1}{2} \left( x \sqrt{4x^2 + 1} + \frac{1}{2} \ln |2x + \sqrt{4x^2 + 1}| \right) + 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.
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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