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人気のある微分積分 >

integral from 0 to 2 of-50(t-10)

解

\int_{0}^{2} - 50 (t - 10) d t

解

900

解答ステップ

\int_{0}^{2} - 50 (t - 10) d t

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 50 \cdot \int_{0}^{2} t - 10 d t

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

= - 50 (\int_{0}^{2} t d t - \int_{0}^{2} 10 d t)

\int_{0}^{2} t d t = 2

\int_{0}^{2} 10 d t = 20

= - 50 (2 - 20)

簡素化

= 900

グラフ

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