What is the integral of 5^{x^2} ?

The integral of 5^{x^2} is (sqrt(pi)\erfi(xsqrt(ln(5))))/(2sqrt(ln(5)))+C

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integral of 5^{x^2}

\int 5^{x^{2}} d x

\frac{π erfi ( x ln ( 5 ) )}{2 ln ( 5 )} + C

Solution steps

\int 5^{x^{2}} d x

Use the nonelementary integral:

\int 5^{x^{2}} d x = \frac{π erfi ( x ln ( 5 ) )}{2 ln ( 5 )}

= \frac{π erfi ( x ln ( 5 ) )}{2 ln ( 5 )}

Add a constant to the solution

= \frac{π erfi ( x ln ( 5 ) )}{2 ln ( 5 )} + C

\frac{d}{d x} (6 x sin (π x))

\frac{d}{d x} (2 - \frac{1}{x})

\int \frac{x}{36 - x ^{2}} d x

\int \frac{5 x ^{3} + 5 x}{x - 1} d x

What is the integral of 5^{x^2} ?
The integral of 5^{x^2} is (sqrt(pi)\erfi(xsqrt(ln(5))))/(2sqrt(ln(5)))+C