# How do you find the integral of #int [cot^5 (x) (sin^4(x) dx]#?

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To find the integral of ( \int \cot^5(x) \sin^4(x) , dx ), you can use trigonometric identities to simplify the integral. One common approach is to rewrite ( \cot^5(x) ) in terms of ( \sin(x) ) and ( \cos(x) ), and then use substitution to simplify the integral. Another approach involves rewriting ( \sin^4(x) ) using the power-reducing identity and then proceeding with integration. After simplification, you can integrate the resulting expression term by term.

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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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