# How do I evaluate the integral #int(secx tanx) / (sec^2(x) - secx) dx#?

By deriving, you can check that, infact, the following equation holds:

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To evaluate the integral (\int \frac{\sec(x) \tan(x)}{\sec^2(x) - \sec(x)} , dx), you can use a substitution method. Let (u = \sec(x) - 1), then (du = \sec(x) \tan(x) , dx). Substitute (du) and (u) into the integral and simplify to solve for (u). This will allow you to integrate with respect to (u). After integrating, substitute back (u) with (\sec(x) - 1) to find the final result.

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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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