What is the integral of e^{-3ln(x)} ?

The integral of e^{-3ln(x)} is -1/(2x^2)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of e^{-3ln(x)}

\int e^{- 3 l n (x)} d x

- \frac{1}{2 x ^{2}} + C

Solution steps

\int e^{- 3 l n (x)} d x

Simplify

e^{- 3 l n (x)} : \frac{1}{x ^{3}}

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

Apply the Power Rule

= - \frac{1}{2 x ^{2}}

Add a constant to the solution

= - \frac{1}{2 x ^{2}} + C

What is the integral of e^{-3ln(x)} ?
The integral of e^{-3ln(x)} is -1/(2x^2)+C