ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

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

解

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

解

0.88208 \dots - 0.88622 \dots erf (x)

解答ステップ

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

非初等積分を使用する:

\int e^{- y^{2}} d y = \frac{π}{2} erf (y)

= [\frac{π}{2} erf (y)]_{x}^{2}

限度を計算する:

0.88208 \dots - 0.88622 \dots erf (x)

= 0.88208 \dots - 0.88622 \dots erf (x)

人気の例

integral from 4 to 5.2 of log_{e}(x)

\int_{4}^{5.2} lo g_{e} (x) d x

integral from 10 to 20 of 10(3x+4)^2

\int_{10}^{20} 10 (3 x + 4)^{2} d x

integral from 1 to 3 of 1+2x

\int_{1}^{3} 1 + 2 x d x

integral from 0 to 2 of (7x^2-3x+2)

\int_{0}^{2} (7 x^{2} - 3 x + 2) d x

integral from 1 to 2 of 1/(x(1+ln(x)))

\int_{1}^{2} \frac{1}{x ( 1 + ln ( x ) )} d x