What is the integral from 0 to 0.8 of e^{x^2} ?

The integral from 0 to 0.8 of e^{x^2} is 0.88622…\erfi(0.8)

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integral from 0 to 0.8 of e^{x^2}

\int_{0}^{0.8} e^{x^{2}} d x

0.88622 \dots erfi (0.8)

Solution steps

\int_{0}^{0.8} 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}^{0.8}

Simplify

= [0.88622 \dots erfi (x)]_{0}^{0.8}

Compute the boundaries:

0.88622 \dots erfi (0.8)

= 0.88622 \dots erfi (0.8)

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What is the integral from 0 to 0.8 of e^{x^2} ?
The integral from 0 to 0.8 of e^{x^2} is 0.88622…\erfi(0.8)