What is the integral from 1 to infinity of 7/(x^8) ?

The integral from 1 to infinity of 7/(x^8) is 1

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integral from 1 to infinity of 7/(x^8)

\int_{1}^{\infty} \frac{7}{x ^{8}} d x

1

Solution steps

\int_{1}^{\infty} \frac{7}{x ^{8}} d x

Compute the indefinite integral:

\int \frac{7}{x ^{8}} d x = - \frac{1}{x ^{7}} + C

Compute the boundaries:

\int_{1}^{\infty} \frac{7}{x ^{8}} d x = 0 - (- 1)

= 0 - (- 1)

Simplify

= 1

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What is the integral from 1 to infinity of 7/(x^8) ?
The integral from 1 to infinity of 7/(x^8) is 1