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-7 to 0 of (1+sqrt(49-x^2))

解

\int_{- 7}^{0} (1 + 49 - x^{2}) d x

解

7 + \frac{49 π}{4}

+1

十進法表記

45.48451 \dots

解答ステップ

\int_{- 7}^{0} 1 + 49 - x^{2} d x

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_{- 7}^{0} 1 d x + \int_{- 7}^{0} 49 - x^{2} d x

\int_{- 7}^{0} 1 d x = 7

\int_{- 7}^{0} 49 - x^{2} d x = \frac{49 π}{4}

= 7 + \frac{49 π}{4}

グラフ

人気の例

integral from 4 to 7 of (2x)/(sqrt(8-x))

\int_{4}^{7} \frac{2 x}{8 - x} d x

integral from x to 0 of e^{-10t}

\int_{x}^{0} e^{- 10 t} d t

integral from 0 to 1 of cos(wx)

\int_{0}^{1} cos (w x) d x

integral from-2 to 3 of (9-x^2)-(3-x)

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

integral from 0 to x^3 of e^{-2t}

\int_{0}^{x^{3}} e^{- 2 t} d t