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

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

= 2 \cdot \frac{π}{2} erfi (x)

Simplify

2 \cdot \frac{π}{2} erfi (x) : π erfi (x)

= π erfi (x)

Add a constant to the solution

= π erfi (x) + C

2 x^{2} y^{^{'}} = y^{^{'}} + 4 x e^{- y}

x \to 0 lim (\frac{1}{2 x ^{2} + x})

\int \frac{9}{4 + 9 x} d x

\int \frac{y}{a ^{2} - y ^{2}} d y

x \to 0 lim (x^{2} csc (x))

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