What is the integral from 1 to infinity of 3/(x^5) ?

The integral from 1 to infinity of 3/(x^5) is 3/4

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integral from 1 to infinity of 3/(x^5)

\int_{1}^{\infty} \frac{3}{x ^{5}} d x

\frac{3}{4}

Decimal Notation

0.75

Solution steps

\int_{1}^{\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_{1}^{\infty} \frac{3}{x ^{5}} d x = 0 - (- \frac{3}{4})

= 0 - (- \frac{3}{4})

Simplify

= \frac{3}{4}

\frac{d}{d y} (2 x y^{2} - 3)

t^{4}

x \to 0 + lim (\frac{1}{x ^{2}} - \frac{1}{x})

\int 2 cos (y^{2}) d y

e^{x + y} d x + e^{x - y} d y = 0

What is the integral from 1 to infinity of 3/(x^5) ?
The integral from 1 to infinity of 3/(x^5) is 3/4