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人気のある微分積分 >

integral from 1 to 2 of x^2+x

解

\int_{1}^{2} x^{2} + x d x

解

\frac{23}{6}

+1

十進法表記

3.83333 \dots

解答ステップ

\int_{1}^{2} x^{2} + x 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} x^{2} d x + \int_{1}^{2} x d x

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

= \frac{7}{3} + \frac{3}{2}

簡素化

\frac{7}{3} + \frac{3}{2} : \frac{23}{6}

= \frac{23}{6}

グラフ

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