# How do you find the integral of #int sin^n(x)# if m or n is an integer?

See below.

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To find the integral of (\int \sin^n(x) , dx) when (n) is an integer:

- For odd (n): Use integration by parts.
- For even (n): Use the half-angle identity for (\sin^2(x)) and then repeatedly apply this identity until the expression becomes in terms of (\sin(x)) to a power that is odd, and then proceed with integration by parts.

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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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