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人気のある微分積分 >

integral from 2 to 3 of x+x^2

解

\int_{2}^{3} x + x^{2} d x

解

\frac{53}{6}

+1

十進法表記

8.83333 \dots

解答ステップ

\int_{2}^{3} x + x^{2} 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_{2}^{3} x d x + \int_{2}^{3} x^{2} d x

\int_{2}^{3} x d x = \frac{5}{2}

\int_{2}^{3} x^{2} d x = \frac{19}{3}

= \frac{5}{2} + \frac{19}{3}

簡素化

\frac{5}{2} + \frac{19}{3} : \frac{53}{6}

= \frac{53}{6}

グラフ

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