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

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

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

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

\frac{π erfi ( 3 ) - π erfi ( 2 )}{2}

Solution steps

\int_{2}^{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)]_{2}^{3}

Compute the boundaries:

\frac{π erfi ( 3 ) - π erfi ( 2 )}{2}

= \frac{π erfi ( 3 ) - π erfi ( 2 )}{2}

\int_{- \frac{π}{2}}^{\frac{π}{2}} x^{2} d x

\int_{0}^{1} x - x^{2} + 1 d x

\int_{- 4}^{7} 1

\int_{0}^{1} 9 t + 4 d t

\int_{1}^{2} (3 x^{2} - 2 x + 4) d x

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