integral from 0.2 to 1.2 of e^{x^2}

解

\int_{0.2}^{1.2} e^{x^{2}} d x

0.88622 \dots erfi (1.2) - 0.88622 \dots erfi (0.2)

解答ステップ

\int_{0.2}^{1.2} e^{x^{2}} d x

非初等積分を使用する:

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

= [\frac{π}{2} erfi (x)]_{0.2}^{1.2}

簡素化

= [0.88622 \dots erfi (x)]_{0.2}^{1.2}

限度を計算する:

0.88622 \dots erfi (1.2) - 0.88622 \dots erfi (0.2)

= 0.88622 \dots erfi (1.2) - 0.88622 \dots erfi (0.2)