What is the integral of 3^{x^2}*4^{x^2} ?

The integral of 3^{x^2}*4^{x^2} is (sqrt(pi)\erfi(xsqrt(ln(12))))/(2sqrt(ln(12)))+C

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integral of 3^{x^2}*4^{x^2}

\int 3^{x^{2}} \cdot 4^{x^{2}} d x

\frac{π erfi ( x ln ( 12 ) )}{2 ln ( 12 )} + C

Solution steps

\int 3^{x^{2}} \cdot 4^{x^{2}} d x

Simplify

3^{x^{2}} \cdot 4^{x^{2}} : 1 2^{x^{2}}

= \int 1 2^{x^{2}} d x

Use the nonelementary integral:

\int 1 2^{x^{2}} d x = \frac{π erfi ( x ln ( 12 ) )}{2 ln ( 12 )}

= \frac{π erfi ( x ln ( 12 ) )}{2 ln ( 12 )}

Add a constant to the solution

= \frac{π erfi ( x ln ( 12 ) )}{2 ln ( 12 )} + C

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What is the integral of 3^{x^2}*4^{x^2} ?
The integral of 3^{x^2}*4^{x^2} is (sqrt(pi)\erfi(xsqrt(ln(12))))/(2sqrt(ln(12)))+C