What is the integral of 7^{x^2} ?

The integral of 7^{x^2} is (sqrt(pi)\erfi(xsqrt(ln(7))))/(2sqrt(ln(7)))+C

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integral of 7^{x^2}

\int 7^{x^{2}} d x

\frac{π erfi ( x ln ( 7 ) )}{2 ln ( 7 )} + C

Solution steps

\int 7^{x^{2}} d x

Use the nonelementary integral:

\int 7^{x^{2}} d x = \frac{π erfi ( x ln ( 7 ) )}{2 ln ( 7 )}

= \frac{π erfi ( x ln ( 7 ) )}{2 ln ( 7 )}

Add a constant to the solution

= \frac{π erfi ( x ln ( 7 ) )}{2 ln ( 7 )} + C

x \to \infty lim (\frac{1}{x} + 1)

y^{3} x + y^{2} x^{2} = 6, (2, 1)

y^{^{''}} - 2 y^{^{'}} + 7 y = 0

11 x - 8 y x^{2} + 1 \frac{d y}{d x} = 0

\frac{d}{d x} (\frac{1}{10 x})

What is the integral of 7^{x^2} ?
The integral of 7^{x^2} is (sqrt(pi)\erfi(xsqrt(ln(7))))/(2sqrt(ln(7)))+C