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 0 to pi of 2pi(sin(x))

解

\int_{0}^{π} 2 π (sin (x)) d x

解

4 π

+1

十進法表記

12.56637 \dots

解答ステップ

\int_{0}^{π} 2 π sin (x) d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 π \cdot \int_{0}^{π} sin (x) d x

共通積分を使用する:

\int sin (x) d x = - cos (x)

= 2 π [- cos (x)]_{0}^{π}

限度を計算する:

2

= 2 π 2

簡素化

= 4 π

グラフ

人気の例

integral from y to y+1 of 2y

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

integral from 0 to 12 of x(1/72 x)

\int_{0}^{12} x (\frac{1}{72} x) d x

integral from 1 to 7 of 6x^2+2x-3

\int_{1}^{7} 6 x^{2} + 2 x - 3 d x

integral from 0 to 2 of sqrt(1-0.5x)

\int_{0}^{2} 1 - 0.5 x d x

integral from 0 to 3 of (-2)/(5x+1)

\int_{0}^{3} \frac{- 2}{5 x + 1} d x