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人気のある微分積分 >

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

解

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

解

0

解答ステップ

\int_{0}^{3} x^{2} - 2 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}^{3} x^{2} d x - \int_{0}^{3} 2 x d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 2 x d x = 9

= 9 - 9

簡素化

= 0

グラフ

人気の例

limit as x approaches 3 of (x^2-9)/(x^2-10x+21)

x \to 3 lim (\frac{x ^{2} - 9}{x ^{2} - 10 x + 21})

integral of 1/()

\int \frac{1}{d x} d t

integral of x^{10/3}

\int x^{\frac{10}{3}} d x

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\int \frac{12 + 10 x - 2 x ^{2}}{x ^{3} - 4 x} d x

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\int tan^{3} (2 t) sec^{4} (2 t) d t