What is the integral of 24x^{-3} ?

The integral of 24x^{-3} is -(12)/(x^2)+C

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integral of 24x^{-3}

\int 24 x^{- 3} d x

- \frac{12}{x ^{2}} + C

Solution steps

\int 24 x^{- 3} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 24 \cdot \int x^{- 3} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

= 24 (- \frac{1}{2 x ^{2}})

Simplify

24 (- \frac{1}{2 x ^{2}}) : - \frac{12}{x ^{2}}

= - \frac{12}{x ^{2}}

Add a constant to the solution

= - \frac{12}{x ^{2}} + C

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