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人気のある微分積分 >

integral from-5 to 0 of (4+sqrt(25-x^2))

解

\int_{- 5}^{0} (4 + 25 - x^{2}) d x

解

20 + \frac{25 π}{4}

+1

十進法表記

39.63495 \dots

解答ステップ

\int_{- 5}^{0} 4 + 25 - 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_{- 5}^{0} 4 d x + \int_{- 5}^{0} 25 - x^{2} d x

\int_{- 5}^{0} 4 d x = 20

\int_{- 5}^{0} 25 - x^{2} d x = \frac{25 π}{4}

= 20 + \frac{25 π}{4}

グラフ

人気の例

limit as x approaches 8 of (x+9)/(x-8)

x \to 8 lim (\frac{x + 9}{x - 8})

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y^{^{''}} + 256 y = 7 cos (5 t)

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