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人気のある微分積分 >

integral from-1 to 0 of 2-x^2

解

\int_{- 1}^{0} 2 - x^{2} d x

解

\frac{5}{3}

+1

十進法表記

1.66666 \dots

解答ステップ

\int_{- 1}^{0} 2 - 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_{- 1}^{0} 2 d x - \int_{- 1}^{0} x^{2} d x

\int_{- 1}^{0} 2 d x = 2

\int_{- 1}^{0} x^{2} d x = \frac{1}{3}

= 2 - \frac{1}{3}

簡素化

2 - \frac{1}{3} : \frac{5}{3}

= \frac{5}{3}

グラフ

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