# How do you find #int -arctan(cotx) dx #?

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To find the integral of ( \int -\arctan(\cot(x)) , dx ), you can use the substitution method. Let ( u = \cot(x) ), then ( du = -\csc^2(x) , dx ). This simplifies the integral to ( \int -\arctan(u) \cdot \frac{-1}{\csc^2(x)} , du ). Using the fact that ( \csc^2(x) = 1 + \cot^2(x) ), you can rewrite the integral in terms of ( u ) only. Finally, integrate ( -\arctan(u) ) with respect to ( u ).

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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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