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人気のある微分積分 >

integral from 0 to 3 of (5t-9)

解

\int_{0}^{3} (5 t - 9) d t

解

- \frac{9}{2}

+1

十進法表記

- 4.5

解答ステップ

\int_{0}^{3} 5 t - 9 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

= \int_{0}^{3} 5 t d t - \int_{0}^{3} 9 d t

\int_{0}^{3} 5 t d t = \frac{45}{2}

\int_{0}^{3} 9 d t = 27

= \frac{45}{2} - 27

簡素化

\frac{45}{2} - 27 : - \frac{9}{2}

= - \frac{9}{2}

グラフ

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