What is the integral of-2e^{-x^2} ?

The integral of-2e^{-x^2} is -sqrt(pi)\erf(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-2e^{-x^2}

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

- π erf (x) + C

Solution steps

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

Take the constant out:

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

= - 2 \cdot \int e^{- x^{2}} d x

Use the nonelementary integral:

\int e^{- x^{2}} d x = \frac{π}{2} erf (x)

= - 2 \cdot \frac{π}{2} erf (x)

Simplify

- 2 \cdot \frac{π}{2} erf (x) : - π erf (x)

= - π erf (x)

Add a constant to the solution

= - π erf (x) + C

\int ln^{2} (\frac{x}{3}) d x

\int \frac{4 x}{1 - x} d x

\int e^{e^{3 x} + 3 x} d x

\int 3 x^{2} e^{- 0.01 x^{3}} d x

\int (3 x^{2} - 4 \cdot 5^{x}) d x

What is the integral of-2e^{-x^2} ?
The integral of-2e^{-x^2} is -sqrt(pi)\erf(x)+C