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人気のある微分積分 >

integral from 0 to 4 of (3-x)

解

\int_{0}^{4} (3 - x) d x

解

4

解答ステップ

\int_{0}^{4} 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_{0}^{4} 3 d x - \int_{0}^{4} x d x

\int_{0}^{4} 3 d x = 12

\int_{0}^{4} x d x = 8

= 12 - 8

簡素化

= 4

グラフ

人気の例

integral from-2 to 4 of x|x-3|

\int_{- 2}^{4} x ∣ x - 3 ∣ d x

integral from 0 to pi/2 of cos(x)+1

\int_{0}^{\frac{π}{2}} cos (x) + 1 d x

integral from 1 to 2 of (z+2/z)*(z-2/z)

\int_{1}^{2} (z + \frac{2}{z}) \cdot (z - \frac{2}{z}) d z

integral from 0 to 1 of xsqrt(35x^2+1)

\int_{0}^{1} x 35 x^{2} + 1 d x

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