# How do I find the antiderivative of #y=csc(x)cot(x)#?

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To find the antiderivative of ( y = \csc(x) \cot(x) ), you can use integration by substitution. Let ( u = \csc(x) ), then ( du = -\csc(x) \cot(x) dx ). Hence, the antiderivative becomes:

[ \int -du = -u + C = -\csc(x) + C ]

where ( C ) is the constant of integration. Therefore, the antiderivative of ( y = \csc(x) \cot(x) ) is ( -\csc(x) + C ).

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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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