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 y to 1 of e^{y^2}

解

\int_{y}^{1} e^{y^{2}} d y

解

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

解答ステップ

\int_{y}^{1} e^{y^{2}} d y

非初等積分を使用する:

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

= [\frac{π}{2} erfi (y)]_{y}^{1}

限度を計算する:

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

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

人気の例

integral from 0 to 0.5 of 2x^2

\int_{0}^{0.5} 2 x^{2} d x

integral from 1 to 5 of ((10)/(x^2))^2

\int_{1}^{5} (\frac{10}{x ^{2}})^{2} d x

integral from 0 to 2 of pi(x^2+2)^2

\int_{0}^{2} π (x^{2} + 2)^{2} d x

integral from 1 to 3/2 of (2-x-1/3 x)

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

integral from 0 to 2 of x/(sqrt(x+2))

\int_{0}^{2} \frac{x}{x + 2} d x