# What is the integral of #sin^3x#?

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As is often the case with trigonometric integrals, there is more than one way to tackle this...

Note that:

So:

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The integral of ( \sin^3(x) ) with respect to ( x ) is ( -\frac{1}{3} \cos^3(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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