What is the integral from 1 to infinity of 8/(x^5) ?

The integral from 1 to infinity of 8/(x^5) is 2

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integral from 1 to infinity of 8/(x^5)

\int_{1}^{\infty} \frac{8}{x ^{5}} d x

2

Solution steps

\int_{1}^{\infty} \frac{8}{x ^{5}} d x

Compute the indefinite integral:

\int \frac{8}{x ^{5}} d x = - \frac{2}{x ^{4}} + C

Compute the boundaries:

\int_{1}^{\infty} \frac{8}{x ^{5}} d x = 0 - (- 2)

= 0 - (- 2)

Simplify

= 2

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\int_{- π}^{0} x - π d x

\int_{0}^{2} 5 + 4 x^{2} d x

What is the integral from 1 to infinity of 8/(x^5) ?
The integral from 1 to infinity of 8/(x^5) is 2