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

The integral from 2 to infinity of 1/(x^6) is 1/160

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

\int_{2}^{\infty} \frac{1}{x ^{6}} d x

\frac{1}{160}

Decimal

0.00625

Solution steps

\int_{2}^{\infty} \frac{1}{x ^{6}} d x

Compute the indefinite integral:

\int \frac{1}{x ^{6}} d x = - \frac{1}{5 x ^{5}} + C

Compute the boundaries:

\int_{2}^{\infty} \frac{1}{x ^{6}} d x = 0 - (- \frac{1}{160})

= 0 - (- \frac{1}{160})

Simplify

= \frac{1}{160}

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What is the integral from 2 to infinity of 1/(x^6) ?
The integral from 2 to infinity of 1/(x^6) is 1/160