# How do you find the integral of #int cotx dx#?

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To find the integral of (\int \cot(x) , dx), you can use the following steps:

- Rewrite (\cot(x)) as (\frac{\cos(x)}{\sin(x)}).
- Perform a substitution: Let (u = \sin(x)), then (du = \cos(x) , dx).
- Rewrite the integral in terms of (u): (\int \frac{1}{u} , du).
- Integrate (\frac{1}{u}) with respect to (u): (\ln|u| + C).
- Substitute back (u = \sin(x)): (\ln|\sin(x)| + C).

So, the integral of (\int \cot(x) , dx) is (\ln|\sin(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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