What is the integral from 0 to 3 of-72x^{-3} ?

The integral from 0 to 3 of-72x^{-3} is diverges

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integral from 0 to 3 of-72x^{-3}

\int_{0}^{3} - 72 x^{- 3} d x

diverges

Solution steps

\int_{0}^{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_{0}^{3} x^{- 3} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{0}^{3}

= - 72 [- \frac{1}{2 x ^{2}}]_{0}^{3}

Compute the boundaries:

diverges

= diverges

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What is the integral from 0 to 3 of-72x^{-3} ?
The integral from 0 to 3 of-72x^{-3} is diverges