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人気のある微分積分 >

integral from-5 to 5 of (x^2-2)

解

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

解

\frac{190}{3}

+1

十進法表記

63.33333 \dots

解答ステップ

\int_{- 5}^{5} x^{2} - 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}^{5} x^{2} d x - \int_{- 5}^{5} 2 d x

\int_{- 5}^{5} x^{2} d x = \frac{250}{3}

\int_{- 5}^{5} 2 d x = 20

= \frac{250}{3} - 20

簡素化

\frac{250}{3} - 20 : \frac{190}{3}

= \frac{190}{3}

グラフ

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