What is the antiderivative of #F(x) = x/ sqrt (x^2 + 1)#?
Writing your integral in the form
Now we Substitute
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Note:
Let,
So,
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The antiderivative of ( F(x) = \frac{x}{\sqrt{x^2 + 1}} ) is ( \ln|x + \sqrt{x^2 + 1}| + 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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