What is the integral from 2 to 3 of-72x^{-3} ?

The integral from 2 to 3 of-72x^{-3} is -5

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integral from 2 to 3 of-72x^{-3}

\int_{2}^{3} - 72 x^{- 3} d x

- 5

Solution steps

\int_{2}^{3} - 72 x^{- 3} d x

Take the constant out:

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

= - 72 \cdot \int_{2}^{3} x^{- 3} d x

Apply the Power Rule

= - 72 [- \frac{1}{2 x ^{2}}]_{2}^{3}

Compute the boundaries:

\frac{5}{72}

= - 72 \cdot \frac{5}{72}

Simplify

= - 5

What is the integral from 2 to 3 of-72x^{-3} ?
The integral from 2 to 3 of-72x^{-3} is -5