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

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

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integral of 2^{x^2}

integral

2^{x^{2}}

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

Solution steps

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

Use the nonelementary integral:

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

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

Add a constant to the solution

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

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