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人気のある微分積分 >

integral from 1 to 2 of 2x^3-4

解

\int_{1}^{2} 2 x^{3} - 4 d x

解

\frac{7}{2}

+1

十進法表記

3.5

解答ステップ

\int_{1}^{2} 2 x^{3} - 4 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_{1}^{2} 2 x^{3} d x - \int_{1}^{2} 4 d x

\int_{1}^{2} 2 x^{3} d x = \frac{15}{2}

\int_{1}^{2} 4 d x = 4

= \frac{15}{2} - 4

簡素化

\frac{15}{2} - 4 : \frac{7}{2}

= \frac{7}{2}

グラフ

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