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人気のある微分積分 >

integral from 2 to 4 of x^3-x^5

解

\int_{2}^{4} x^{3} - x^{5} d x

解

- 612

解答ステップ

\int_{2}^{4} x^{3} - 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_{2}^{4} x^{3} d x - \int_{2}^{4} x^{5} d x

\int_{2}^{4} x^{3} d x = 60

\int_{2}^{4} x^{5} d x = 672

= 60 - 672

簡素化

= - 612

グラフ

人気の例

integral from 0 to 2 of ln(x^3)

\int_{0}^{2} ln (x^{3}) d x

integral from 3x to 8 of (x+y)/(60)

\int_{3 x}^{8} \frac{x + y}{60} d y

integral from 1 to k of k/(2w^2)

\int_{1}^{k} \frac{k}{2 w ^{2}} d w

integral from 1 to 5 of x^4ln(x)

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

integral from 7/2 to 8 of 3/(x-2)

\int_{\frac{7}{2}}^{8} \frac{3}{x - 2} d x