What is the integral from 1 to 6 of x^{-3} ?

The integral from 1 to 6 of x^{-3} is 35/72

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integral from 1 to 6 of x^{-3}

\int_{1}^{6} x^{- 3} d x

\frac{35}{72}

Decimal

0.48611 \dots

Solution steps

\int_{1}^{6} x^{- 3} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{1}^{6}

= [- \frac{1}{2 x ^{2}}]_{1}^{6}

Compute the boundaries:

\frac{35}{72}

= \frac{35}{72}

\int_{0}^{b} x^{2} d x

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What is the integral from 1 to 6 of x^{-3} ?
The integral from 1 to 6 of x^{-3} is 35/72