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人気のある微分積分 >

integral from 0 to 16 of sqrt(x)-1/4 x

解

\int_{0}^{16} x - \frac{1}{4} x d x

解

\frac{32}{3}

+1

十進法表記

10.66666 \dots

解答ステップ

\int_{0}^{16} x - \frac{1}{4} 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}^{16} x d x - \int_{0}^{16} \frac{1}{4} x d x

\int_{0}^{16} x d x = \frac{128}{3}

\int_{0}^{16} \frac{1}{4} x d x = 32

= \frac{128}{3} - 32

簡素化

\frac{128}{3} - 32 : \frac{32}{3}

= \frac{32}{3}

グラフ

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