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

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

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

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

f (x) = \frac{π}{2} erfi (x) + c_{1}

Solution steps

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

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

then

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

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

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

f (x) = \frac{π}{2} erfi (x) + c_{1}

\int \frac{1}{3 x + 4} d x

x \to 0 lim (\frac{2}{x ^{3}})

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

arcsec (9 x)

\int \frac{6}{x ln ^{3} ( x )} d x

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