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人気のある微分積分 >

integral from 0 to 1 of (3x^2+sqrt(x))

解

\int_{0}^{1} (3 x^{2} + x) d x

解

\frac{5}{3}

+1

十進法表記

1.66666 \dots

解答ステップ

\int_{0}^{1} 3 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_{0}^{1} 3 x^{2} d x + \int_{0}^{1} x d x

\int_{0}^{1} 3 x^{2} d x = 1

\int_{0}^{1} x d x = \frac{2}{3}

= 1 + \frac{2}{3}

簡素化

1 + \frac{2}{3} : \frac{5}{3}

= \frac{5}{3}

グラフ

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