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

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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

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