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人気のある微分積分 >

integral from 1 to 9 of (1+sqrt(x))

解

\int_{1}^{9} (1 + x) d x

解

\frac{76}{3}

+1

十進法表記

25.33333 \dots

解答ステップ

\int_{1}^{9} 1 + 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}^{9} 1 d x + \int_{1}^{9} x d x

\int_{1}^{9} 1 d x = 8

\int_{1}^{9} x d x = \frac{52}{3}

= 8 + \frac{52}{3}

簡素化

8 + \frac{52}{3} : \frac{76}{3}

= \frac{76}{3}

グラフ

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