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

The integral from 1 to infinity of 5/(x^3) is 5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

\frac{5}{2}

Decimal

2.5

Solution steps

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

Compute the indefinite integral:

\int \frac{5}{x ^{3}} d x = - \frac{5}{2 x ^{2}} + C

Compute the boundaries:

\int_{1}^{\infty} \frac{5}{x ^{3}} d x = 0 - (- \frac{5}{2})

= 0 - (- \frac{5}{2})

Simplify

= \frac{5}{2}

\int \frac{sec ( x ) tan ( x )}{1 + sec ( x )} d x

\frac{d}{d x} (\frac{1}{2 ^{x}})

\int_{0}^{\frac{π}{27}} x tan^{2} (9 x) d x

x \to 0 lim (\frac{tan ( 10 x )}{x})

\frac{d}{d x} (sin (\frac{1}{x - 1}))

What is the integral from 1 to infinity of 5/(x^3) ?
The integral from 1 to infinity of 5/(x^3) is 5/2