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-3 to 3 of (9-y^2)

解

\int_{- 3}^{3} (9 - y^{2}) d y

解

36

解答ステップ

\int_{- 3}^{3} 9 - y^{2} d y

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 3}^{3} 9 d y - \int_{- 3}^{3} y^{2} d y

\int_{- 3}^{3} 9 d y = 54

\int_{- 3}^{3} y^{2} d y = 18

= 54 - 18

簡素化

= 36

グラフ

人気の例

integral from-2 to 2 of (sqrt(8-x^2))

\int_{- 2}^{2} (8 - x^{2}) d x

integral from 1 to 3 of (2x^2-3x+1)

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

integral from 1 to infinity of 1/(6^x)

\int_{1}^{\infty} \frac{1}{6 ^{x}} d x

integral from (-pi)/2 to pi/2 of 1

\int_{\frac{- π}{2}}^{\frac{π}{2}} 1 d x

integral from 0 to 4 of 2+6sqrt(x)

\int_{0}^{4} 2 + 6 x d x