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

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

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

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

\frac{π}{2} erfi (x^{2}) - \frac{π}{2} erfi (x)

Solution steps

\int_{x}^{x^{2}} 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)]_{x}^{x^{2}}

Compute the boundaries:

\frac{π}{2} erfi (x^{2}) - \frac{π}{2} erfi (x)

= \frac{π}{2} erfi (x^{2}) - \frac{π}{2} erfi (x)

\int 2 \cdot ln (x) d x

\int_{0}^{2} x^{2} - 2 x d x

\frac{1}{( s - 4 ) ( s - 5 )}

\frac{\partial}{\partial x} (9 y)

\frac{d}{d x} (b x^{2})

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