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人気のある微分積分 >

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

解

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

解

\frac{20}{3}

+1

十進法表記

6.66666 \dots

解答ステップ

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

\int_{2}^{4} x^{2} d x = \frac{56}{3}

\int_{2}^{4} 2 x d x = 12

= \frac{56}{3} - 12

簡素化

\frac{56}{3} - 12 : \frac{20}{3}

= \frac{20}{3}

グラフ

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