# How do you find the indefinite integral of #int -24x^5 dx#?

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To find the indefinite integral of ( \int -24x^5 , dx ), you can use the power rule for integration. According to the power rule, the integral of ( x^n ) with respect to ( x ) is ( \frac{{x^{n+1}}}{{n+1}} + C ), where ( n ) is any real number except -1 and ( C ) is the constant of integration. Applying this rule to ( -24x^5 ), you get:

[ \int -24x^5 , dx = -\frac{{24x^{5+1}}}{{5+1}} + C = -\frac{{24x^6}}{6} + C = -4x^6 + C ]

So, the indefinite integral of ( -24x^5 , dx ) is ( -4x^6 + 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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