What is the integral of (25)/(x^2) ?

The integral of (25)/(x^2) is -(25)/x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (25)/(x^2)

\int \frac{25}{x ^{2}} d x

- \frac{25}{x} + C

Solution steps

\int \frac{25}{x ^{2}} d x

Take the constant out:

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

= 25 \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= 25 (- \frac{1}{x})

Simplify

25 (- \frac{1}{x}) : - \frac{25}{x}

= - \frac{25}{x}

Add a constant to the solution

= - \frac{25}{x} + C

\int r e^{\frac{r}{2}} d r

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

\frac{\partial}{\partial x} (∣ x + y ∣)

\int_{0}^{1} (6 x^{e} + 5 e^{x}) d x

\frac{\partial}{\partial x} ((- 13 + 142) \cdot \frac{1}{17})