What is the integral of e^{t^2} ?

The integral of e^{t^2} is (sqrt(pi))/2 \erfi(t)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^{t^2}

integral

e^{t^{2}}

\frac{π}{2} erfi (t) + C

Solution steps

\int e^{t^{2}} d t

Use the nonelementary integral:

\int e^{t^{2}} d t = \frac{π}{2} erfi (t)

= \frac{π}{2} erfi (t)

Add a constant to the solution

= \frac{π}{2} erfi (t) + C

\int \frac{1}{x x ^{2} + 49} d x

\int \frac{x ^{2} - 4 x + 6}{x - 1} d x

\int \frac{1 + cos ^{2} ( x )}{sin ^{2} ( x )} d x

\int \frac{1}{30} e^{- \frac{x}{30}} d x

\int 4 x cos (2 x^{2}) d x

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