# How do you find the integral of #1 / (1 + sin^2 x)#?

Using the same trigonometric identity:

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To find the integral of ( \frac{1}{1 + \sin^2(x)} ), you can use the trigonometric identity (1 + \sin^2(x) = \cos^2(x)). Then, you can apply a trigonometric substitution. Let (u = \cos(x)) or (du = -\sin(x)dx). After substitution, you'll have an integral in terms of (u), which you can integrate using standard techniques.

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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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