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人気のある微分積分 >

integral from 0 to 1 of (7+6xsqrt(x))

解

\int_{0}^{1} (7 + 6 x x) d x

解

\frac{47}{5}

+1

十進法表記

9.4

解答ステップ

\int_{0}^{1} 7 + 6 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}^{1} 7 d x + \int_{0}^{1} 6 x x d x

\int_{0}^{1} 7 d x = 7

\int_{0}^{1} 6 x x d x = \frac{12}{5}

= 7 + \frac{12}{5}

簡素化

7 + \frac{12}{5} : \frac{47}{5}

= \frac{47}{5}

グラフ

人気の例

integral from 0 to 1 of (xe^x)^2

\int_{0}^{1} (x e^{x})^{2} d x

integral from 1 to 2 of (1+x^2)/(x^3)

\int_{1}^{2} \frac{1 + x ^{2}}{x ^{3}} d x

integral from 1 to 5 of 4x^3

\int_{1}^{5} 4 x^{3} d x

integral from 5 to 10 of 1/25 (10-x)

\int_{5}^{10} \frac{1}{25} (10 - x) d x

integral from 0 to 5 of (x-1)

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