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

The integral from-infinity to-5 of 1/(x^4) is 1/375

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

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

\frac{1}{375}

Solution steps

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

Compute the indefinite integral:

\int \frac{1}{x ^{4}} d x = - \frac{1}{3 x ^{3}} + C

Compute the boundaries:

\int_{- \infty}^{- 5} \frac{1}{x ^{4}} d x = \frac{1}{375} - 0

= \frac{1}{375} - 0

Simplify

= \frac{1}{375}

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What is the integral from-infinity to-5 of 1/(x^4) ?
The integral from-infinity to-5 of 1/(x^4) is 1/375