What is the integral from 1 to 8 of x^{-3} ?

The integral from 1 to 8 of x^{-3} is 63/128

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integral from 1 to 8 of x^{-3}

\int_{1}^{8} x^{- 3} d x

\frac{63}{128}

Decimal

0.4921875

Solution steps

\int_{1}^{8} x^{- 3} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{1}^{8}

= [- \frac{1}{2 x ^{2}}]_{1}^{8}

Compute the boundaries:

\frac{63}{128}

= \frac{63}{128}

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What is the integral from 1 to 8 of x^{-3} ?
The integral from 1 to 8 of x^{-3} is 63/128