What is the integral from-infinity to-3 of 4/(x^3) ?

The integral from-infinity to-3 of 4/(x^3) is -2/9

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integral from-infinity to-3 of 4/(x^3)

\int_{- \infty}^{- 3} \frac{4}{x ^{3}} d x

- \frac{2}{9}

Decimal Notation

- 0.22222 \dots

Solution steps

\int_{- \infty}^{- 3} \frac{4}{x ^{3}} d x

Compute the indefinite integral:

\int \frac{4}{x ^{3}} d x = - \frac{2}{x ^{2}} + C

Compute the boundaries:

\int_{- \infty}^{- 3} \frac{4}{x ^{3}} d x = - \frac{2}{9} - 0

= - \frac{2}{9} - 0

Simplify

= - \frac{2}{9}

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What is the integral from-infinity to-3 of 4/(x^3) ?
The integral from-infinity to-3 of 4/(x^3) is -2/9