What is the integral from 0 to y of e^{y^2} ?

The integral from 0 to y of e^{y^2} is (sqrt(pi))/2 \erfi(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to y of e^{y^2}

\int_{0}^{y} e^{y^{2}} d y

\frac{π}{2} erfi (y)

Solution steps

\int_{0}^{y} e^{y^{2}} d y

Use the nonelementary integral:

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

= [\frac{π}{2} erfi (y)]_{0}^{y}

Compute the boundaries:

\frac{π}{2} erfi (y)

= \frac{π}{2} erfi (y)

\int_{5}^{8} 3 x + 1 d x

\int_{6}^{7} \frac{1}{x ^{2}} d x

\int_{4}^{2} g (x) d x

\int_{\frac{π}{3}}^{x} cos^{2} (t) d t

\int_{0}^{2} (3 t - 1)^{4} d t

What is the integral from 0 to y of e^{y^2} ?
The integral from 0 to y of e^{y^2} is (sqrt(pi))/2 \erfi(y)