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人気のある微分積分 >

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

解

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

解

\frac{40}{3}

+1

十進法表記

13.33333 \dots

解答ステップ

\int_{0}^{4} x + 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}^{4} x d x + \int_{0}^{4} x d x

\int_{0}^{4} x d x = 8

\int_{0}^{4} x d x = \frac{16}{3}

= 8 + \frac{16}{3}

簡素化

8 + \frac{16}{3} : \frac{40}{3}

= \frac{40}{3}

グラフ

人気の例

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\int_{0}^{8} 64 - t^{2} d t

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\int_{0}^{1} x^{3} - x d x

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\int_{1}^{- 1} (r + 1)^{2} d r

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