# What's the integral of #int (tan(x))^2 * sec(x) dx#?

We have:

The second is an integral that is widely known:

We will now attempt to apply integration by parts for the residual integral, which looks like this:

So, let:

Thus:

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The integral of (\int (\tan(x))^2 \cdot \sec(x) , dx) is (\frac{\tan(x)^3}{3} + 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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