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

The integral from 2 to infinity of 4/(x^4) is 1/6

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

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

\frac{1}{6}

Decimal Notation

0.16666 \dots

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

\int_{2}^{\infty} \frac{4}{x ^{4}} d x = 0 - (- \frac{1}{6})

= 0 - (- \frac{1}{6})

Simplify

= \frac{1}{6}

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What is the integral from 2 to infinity of 4/(x^4) ?
The integral from 2 to infinity of 4/(x^4) is 1/6