# What is #int sec^2(x)/(sqrt(1-tan^2x)) dx#?

employ the replacement

This integral is typical.

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The integral of ( \frac{\sec^2(x)}{\sqrt{1-\tan^2(x)}} ) with respect to ( x ) is ( \ln|\sec(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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