# What is the antiderivative of # ln(x^2 + 2x + 2)#?

The antiderivative of the given function is

Now

and so

Thus the required antiderivative is

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The antiderivative of ln(x^2 + 2x + 2) is ∫ln(x^2 + 2x + 2) dx = xln(x^2 + 2x + 2) - 2√(x^2 + 2x + 2) + 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.

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