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人気のある微分積分 >

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

解

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

解

66

解答ステップ

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

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

\int_{2}^{4} x d x = 6

= 60 + 6

簡素化

= 66

グラフ

人気の例

integral from 2 to 4 of 2x-4

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

integral from 1 to 2 of 1/(sqrt(1+x))

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

integral from 0 to pi/4 of 5sin(x)

\int_{0}^{\frac{π}{4}} 5 sin (x) d x

integral from 0 to pi of (1+sin^3(x))

\int_{0}^{π} (1 + sin^{3} (x)) d x

integral from 0 to 4 of x^2-2y^2

\int_{0}^{4} x^{2} - 2 y^{2} d x