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

The integral of a^{x^2} is (sqrt(pi)\erfi(xsqrt(ln(a))))/(2sqrt(ln(a)))+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of a^{x^2}

\int a^{x^{2}} d x

\frac{π erfi ( x ln ( a ) )}{2 ln ( a )} + C

Solution steps

\int a^{x^{2}} d x

Use the nonelementary integral:

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

= \frac{π erfi ( x ln ( a ) )}{2 ln ( a )}

Add a constant to the solution

= \frac{π erfi ( x ln ( a ) )}{2 ln ( a )} + C

\int (3 cos (x) - \frac{1}{x}) d x

\int x^{4} sec (x^{5}) tan (x^{5}) d x

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

\int 2 ln (y) d y

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