What is the solution for f^'(x)=x^2e^{x^2} ?

The solution for f^'(x)=x^2e^{x^2} is f(x)= 1/2 e^{x^2}x-(sqrt(pi))/4 \erfi(x)+c_{1}

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f^'(x)=x^2e^{x^2}

f^{^{'}} (x) = x^{2} e^{x^{2}}

f (x) = \frac{1}{2} e^{x^{2}} x - \frac{π}{4} erfi (x) + c_{1}

Solution steps

f^{'} (x) = x^{2} e^{x^{2}}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (x) = \int x^{2} e^{x^{2}} d x

\int x^{2} e^{x^{2}} d x = \frac{1}{2} e^{x^{2}} x - \frac{π}{4} erfi (x) + c_{1}

f (x) = \frac{1}{2} e^{x^{2}} x - \frac{π}{4} erfi (x) + c_{1}

\frac{3 x}{x + 1}

2 x^{2} - \frac{1}{16} ln (x)

\int cos^{3} (x) sin^{6} (x) d x

y = 8 i n^{x} + c

t \to 0 + lim (arctan (\frac{1}{t}))

What is the solution for f^'(x)=x^2e^{x^2} ?
The solution for f^'(x)=x^2e^{x^2} is f(x)= 1/2 e^{x^2}x-(sqrt(pi))/4 \erfi(x)+c_{1}