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

The integral from 5 to infinity of 1/(x^3) is 1/50

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

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

\frac{1}{50}

Decimal

0.02

Solution steps

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

Compute the indefinite integral:

\int \frac{1}{x ^{3}} d x = - \frac{1}{2 x ^{2}} + C

Compute the boundaries:

\int_{5}^{\infty} \frac{1}{x ^{3}} d x = 0 - (- \frac{1}{50})

= 0 - (- \frac{1}{50})

Simplify

= \frac{1}{50}

\frac{\partial}{\partial x} (1 - ln (x))

\int_{1}^{3} x \frac{2.25}{x ^{3}} d x

y^{^{''}} + 10 y^{^{'}} + 21 y = 0, y (0) = 10, y^{^{'}} (0) = - 42

x \to \infty lim (x^{4 x})

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

What is the integral from 5 to infinity of 1/(x^3) ?
The integral from 5 to infinity of 1/(x^3) is 1/50