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人気のある微分積分 >

integral from-2 to 2 of (1+sqrt(4-x^2))

解

\int_{- 2}^{2} (1 + 4 - x^{2}) d x

解

4 + 2 π

+1

十進法表記

10.28318 \dots

解答ステップ

\int_{- 2}^{2} 1 + 4 - 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_{- 2}^{2} 1 d x + \int_{- 2}^{2} 4 - x^{2} d x

\int_{- 2}^{2} 1 d x = 4

\int_{- 2}^{2} 4 - x^{2} d x = 2 π

= 4 + 2 π

グラフ

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