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人気のある微分積分 >

integral from-3 to 3 of (5+sqrt(9-x^2))

解

\int_{- 3}^{3} (5 + 9 - x^{2}) d x

解

30 + \frac{9 π}{2}

+1

十進法表記

44.13716 \dots

解答ステップ

\int_{- 3}^{3} 5 + 9 - 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_{- 3}^{3} 5 d x + \int_{- 3}^{3} 9 - x^{2} d x

\int_{- 3}^{3} 5 d x = 30

\int_{- 3}^{3} 9 - x^{2} d x = \frac{9 π}{2}

= 30 + \frac{9 π}{2}

グラフ

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