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人気のある微分積分 >

integral from 0 to 1 of (1+8x^5)

解

\int_{0}^{1} (1 + 8 x^{5}) d x

解

\frac{7}{3}

+1

十進法表記

2.33333 \dots

解答ステップ

\int_{0}^{1} 1 + 8 x^{5} 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} 1 d x + \int_{0}^{1} 8 x^{5} d x

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

\int_{0}^{1} 8 x^{5} d x = \frac{4}{3}

= 1 + \frac{4}{3}

簡素化

1 + \frac{4}{3} : \frac{7}{3}

= \frac{7}{3}

グラフ

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