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

The integral from-infinity to-2 of 2/(x^4) is 1/12

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integral from-infinity to-2 of 2/(x^4)

\int_{- \infty}^{- 2} \frac{2}{x ^{4}} d x

\frac{1}{12}

Decimal

0.08333 \dots

Solution steps

\int_{- \infty}^{- 2} \frac{2}{x ^{4}} d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{- \infty}^{- 2} \frac{2}{x ^{4}} d x = \frac{1}{12} - 0

= \frac{1}{12} - 0

Simplify

= \frac{1}{12}

What is the integral from-infinity to-2 of 2/(x^4) ?
The integral from-infinity to-2 of 2/(x^4) is 1/12