What is the integral from 0 to 3 of e^{x^2} ?

The integral from 0 to 3 of e^{x^2} is (sqrt(pi))/2 \erfi(3)

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integral from 0 to 3 of e^{x^2}

\int_{0}^{3} e^{x^{2}} d x

\frac{π}{2} erfi (3)

Solution steps

\int_{0}^{3} e^{x^{2}} d x

Use the nonelementary integral:

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

= [\frac{π}{2} erfi (x)]_{0}^{3}

Compute the boundaries:

\frac{π}{2} erfi (3)

= \frac{π}{2} erfi (3)

x \to 0 lim (\frac{6}{x} - \frac{6}{x ^{2} + x})

\frac{\partial}{\partial x} (x^{7} y^{5} - x^{6} y^{4})

\frac{3}{5 s - 2}

\int \frac{2 x + 1}{x ^{3} - x ^{2}} d x

\frac{\partial}{\partial x} (- x y z^{2} + 6)

What is the integral from 0 to 3 of e^{x^2} ?
The integral from 0 to 3 of e^{x^2} is (sqrt(pi))/2 \erfi(3)