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人気のある微分積分 >

integral from-1 to 1 of (x^2-1)

解

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

解

- \frac{4}{3}

+1

十進法表記

- 1.33333 \dots

解答ステップ

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

\int_{- 1}^{1} x^{2} d x = \frac{2}{3}

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

= \frac{2}{3} - 2

簡素化

\frac{2}{3} - 2 : - \frac{4}{3}

= - \frac{4}{3}

グラフ

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