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人気のある微分積分 >

integral from 0 to 3 of x-3

解

\int_{0}^{3} x - 3 d x

解

- \frac{9}{2}

+1

十進法表記

- 4.5

解答ステップ

\int_{0}^{3} x - 3 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_{0}^{3} x d x - \int_{0}^{3} 3 d x

\int_{0}^{3} x d x = \frac{9}{2}

\int_{0}^{3} 3 d x = 9

= \frac{9}{2} - 9

簡素化

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

= - \frac{9}{2}

グラフ

人気の例

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\int_{4}^{6} (x + 1) ln (2 x + 4) d x

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