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

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

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

e^{2} \frac{π}{2} erfi (x) + C

Solution steps

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

Simplify

e^{x^{2} + 2} : e^{x^{2}} e^{2}

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

Take the constant out:

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

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

Use the nonelementary integral:

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

= e^{2} \frac{π}{2} erfi (x)

Add a constant to the solution

= e^{2} \frac{π}{2} erfi (x) + C

\frac{d}{d x} (- 8 cos (2 x))

(- 10, 4), (2, - 5)

x y^{^{'}} = 3 y

\frac{d y}{d x} = \frac{x ^{5} - 8 y}{x}

e^{x} + cos (x)

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