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人気のある微分積分 >

integral from 2 to 4 of (2/x+3x)

解

\int_{2}^{4} (\frac{2}{x} + 3 x) d x

解

2 ln (2) + 18

+1

十進法表記

19.38629 \dots

解答ステップ

\int_{2}^{4} \frac{2}{x} + 3 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_{2}^{4} \frac{2}{x} d x + \int_{2}^{4} 3 x d x

\int_{2}^{4} \frac{2}{x} d x = 2 ln (2)

\int_{2}^{4} 3 x d x = 18

= 2 ln (2) + 18

グラフ

人気の例

integral from-4 to 5 of (1-x)

\int_{- 4}^{5} (1 - x) d x

integral from-2 to 4 of (2x-4-2x^{1/2})

\int_{- 2}^{4} (2 x - 4 - 2 x^{\frac{1}{2}}) d x

integral from 0 to 1 of xsin(n)pix

\int_{0}^{1} x sin (n) π x d x

integral from 5 to 10 of sqrt(x^2+5)

\int_{5}^{10} x^{2} + 5 d x

integral from 0 to 8 of 9x^2+3

\int_{0}^{8} 9 x^{2} + 3 d x