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人気のある微分積分 >

integral from-2 to 2 of 4x-x^2

解

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

解

- \frac{16}{3}

+1

十進法表記

- 5.33333 \dots

解答ステップ

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

\int_{- 2}^{2} 4 x d x = 0

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

= 0 - \frac{16}{3}

簡素化

= - \frac{16}{3}

グラフ

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