What is the integral from-infinity to-1 of 1/(x^5) ?

The integral from-infinity to-1 of 1/(x^5) is -1/4

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integral from-infinity to-1 of 1/(x^5)

\int_{- \infty}^{- 1} \frac{1}{x ^{5}} d x

- \frac{1}{4}

Decimal Notation

- 0.25

Solution steps

\int_{- \infty}^{- 1} \frac{1}{x ^{5}} d x

Compute the indefinite integral:

\int \frac{1}{x ^{5}} d x = - \frac{1}{4 x ^{4}} + C

Compute the boundaries:

\int_{- \infty}^{- 1} \frac{1}{x ^{5}} d x = - \frac{1}{4} - 0

= - \frac{1}{4} - 0

Simplify

= - \frac{1}{4}

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What is the integral from-infinity to-1 of 1/(x^5) ?
The integral from-infinity to-1 of 1/(x^5) is -1/4