What is the integral of 1/((e^{x^2))} ?

The integral of 1/((e^{x^2))} is (sqrt(pi))/2 \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 1/((e^{x^2))}

integral

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

\frac{π}{2} erf (x) + C

Solution steps

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

Apply exponent rule:

\frac{1}{a ^{b}} = a^{- b}

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

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

Use the nonelementary integral:

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

= \frac{π}{2} erf (x)

Add a constant to the solution

= \frac{π}{2} erf (x) + C

\frac{( 2 x + 1 )}{( 3 x + 2 )}

(t - x)^{3} sin (x)

\frac{1}{x ^{y}}

((\frac{8}{x}) + 2 x)^{2}

\frac{x}{( a ^{2} - x ^{2} )}

What is the integral of 1/((e^{x^2))} ?
The integral of 1/((e^{x^2))} is (sqrt(pi))/2 \erf(x)+C