What is the integral of (200)/(x^3) ?

The integral of (200)/(x^3) is -(100)/(x^2)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (200)/(x^3)

integral

\frac{200}{x ^{3}}

- \frac{100}{x ^{2}} + C

Solution steps

\int \frac{200}{x ^{3}} d x

Take the constant out:

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

= 200 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

= 200 (- \frac{1}{2 x ^{2}})

Simplify

200 (- \frac{1}{2 x ^{2}}) : - \frac{100}{x ^{2}}

= - \frac{100}{x ^{2}}

Add a constant to the solution

= - \frac{100}{x ^{2}} + C

What is the integral of (200)/(x^3) ?
The integral of (200)/(x^3) is -(100)/(x^2)+C