What is the integral from 0 to 3 of 72x^{-2} ?

The integral from 0 to 3 of 72x^{-2} is diverges

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integral from 0 to 3 of 72x^{-2}

\int_{0}^{3} 72 x^{- 2} d x

diverges

Solution steps

\int_{0}^{3} 72 x^{- 2} 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^{- 2} d x

Apply the Power Rule

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

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

Compute the boundaries:

diverges

= diverges

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What is the integral from 0 to 3 of 72x^{-2} ?
The integral from 0 to 3 of 72x^{-2} is diverges