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

The integral from 1 to 5 of 2/(x^3) is 24/25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

\int_{1}^{5} \frac{2}{x ^{3}} d x

\frac{24}{25}

Decimal

0.96

Solution steps

\int_{1}^{5} \frac{2}{x ^{3}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{1}^{5} \frac{1}{x ^{3}} d x

Apply the Power Rule

= 2 [- \frac{1}{2 x ^{2}}]_{1}^{5}

Compute the boundaries:

\frac{12}{25}

= 2 \cdot \frac{12}{25}

Simplify

= \frac{24}{25}

\frac{d}{d x} (\frac{2 e ^{x} - x ^{5}}{1 - 3 x ^{5}})

\int \frac{2 x - 3}{6} d x

\frac{d}{d x} (\frac{x ^{2}}{x ^{4}})

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

\int coth^{2} (x) d x

What is the integral from 1 to 5 of 2/(x^3) ?
The integral from 1 to 5 of 2/(x^3) is 24/25