What is the integral from 4 to infinity of 3/(x^5) ?

The integral from 4 to infinity of 3/(x^5) is 3/1024

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integral from 4 to infinity of 3/(x^5)

\int_{4}^{\infty} \frac{3}{x ^{5}} d x

\frac{3}{1024}

Decimal

0.0029296875

Solution steps

\int_{4}^{\infty} \frac{3}{x ^{5}} d x

Compute the indefinite integral:

\int \frac{3}{x ^{5}} d x = - \frac{3}{4 x ^{4}} + C

Compute the boundaries:

\int_{4}^{\infty} \frac{3}{x ^{5}} d x = 0 - (- \frac{3}{1024})

= 0 - (- \frac{3}{1024})

Simplify

= \frac{3}{1024}

What is the integral from 4 to infinity of 3/(x^5) ?
The integral from 4 to infinity of 3/(x^5) is 3/1024