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人気のある微分積分 >

integral from-1 to 2 of e^{x^2}

解

\int_{- 1}^{2} e^{x^{2}} d x

解

\frac{π erfi ( 2 ) - π erfi ( - 1 )}{2}

解答ステップ

\int_{- 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)]_{- 1}^{2}

限度を計算する:

\frac{π erfi ( 2 ) - π erfi ( - 1 )}{2}

= \frac{π erfi ( 2 ) - π erfi ( - 1 )}{2}

人気の例

integral from 0 to a of 2x

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

integral from 2 to 7 of e^{2-x}

\int_{2}^{7} e^{2 - x} d x

integral from-3 to 3 of xsqrt(x^4+1)

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

integral from 0 to 2pi of (1+sin(θ))^2

\int_{0}^{2 π} (1 + sin (θ))^{2} d θ

integral from 1 to-1 of x

\int_{1}^{- 1} x d x