# What is #int (sin x)/(cos^2x + 1) dx #?

This is the well-known arctan integral, so the outcome is:

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The integral of ( \frac{\sin x}{\cos^2 x + 1} ) with respect to ( x ) is equal to ( -\ln|\cos x + \tan x| + 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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