What is the integral from 1 to 4 of x^{-3} ?

The integral from 1 to 4 of x^{-3} is 15/32

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integral from 1 to 4 of x^{-3}

\int_{1}^{4} x^{- 3} d x

\frac{15}{32}

Decimal

0.46875

Solution steps

\int_{1}^{4} x^{- 3} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{1}^{4}

= [- \frac{1}{2 x ^{2}}]_{1}^{4}

Compute the boundaries:

\frac{15}{32}

= \frac{15}{32}

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What is the integral from 1 to 4 of x^{-3} ?
The integral from 1 to 4 of x^{-3} is 15/32