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人気のある微分積分 >

integral from 0 to 4 of (2sqrt(x)-2x+4)

解

\int_{0}^{4} (2 x - 2 x + 4) d x

解

\frac{32}{3}

+1

十進法表記

10.66666 \dots

解答ステップ

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

\int_{0}^{4} 2 x d x = \frac{32}{3}

\int_{0}^{4} 2 x d x = 16

\int_{0}^{4} 4 d x = 16

= \frac{32}{3} - 16 + 16

簡素化

= \frac{32}{3}

グラフ

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