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人気のある微分積分 >

integral from-6 to 0 of (2+sqrt(36-x^2))

解

\int_{- 6}^{0} (2 + 36 - x^{2}) d x

解

12 + 9 π

+1

十進法表記

40.27433 \dots

解答ステップ

\int_{- 6}^{0} 2 + 36 - 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_{- 6}^{0} 2 d x + \int_{- 6}^{0} 36 - x^{2} d x

\int_{- 6}^{0} 2 d x = 12

\int_{- 6}^{0} 36 - x^{2} d x = 9 π

= 12 + 9 π

グラフ

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