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人気のある微分積分 >

integral from-4 to 0 of 3/2 x+6

解

\int_{- 4}^{0} \frac{3}{2} x + 6 d x

解

12

解答ステップ

\int_{- 4}^{0} \frac{3}{2} x + 6 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_{- 4}^{0} \frac{3}{2} x d x + \int_{- 4}^{0} 6 d x

\int_{- 4}^{0} \frac{3}{2} x d x = - 12

\int_{- 4}^{0} 6 d x = 24

= - 12 + 24

簡素化

= 12

グラフ

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