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

The integral from x to infinity of 5/(x^5) is 5/(4x^4)

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

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

\frac{5}{4 x ^{4}}

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

\int_{x}^{\infty} \frac{5}{x ^{5}} d x = 0 - (- \frac{5}{4 x ^{4}})

= 0 - (- \frac{5}{4 x ^{4}})

Simplify

= \frac{5}{4 x ^{4}}

What is the integral from x to infinity of 5/(x^5) ?
The integral from x to infinity of 5/(x^5) is 5/(4x^4)