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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (e^2)/(x^2)

integral

\frac{e ^{2}}{x ^{2}}

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

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

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

Add a constant to the solution

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

ln (2 + x)

\frac{1}{x ^{2} + 5 [ 2 x ^{2} - 3 ]}

\frac{5 x \frac{2}{3} + 2}{3 x ^{2} + 5 x}

4 x^{2} - 62 x

(x^{2} + 1)^{0.5}