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人気のある微分積分 >

integral from-1 to 1 of |x^2-3x|

解

\int_{- 1}^{1} x^{2} - 3 x d x

解

3

解答ステップ

\int_{- 1}^{1} x^{2} - 3 x d x

絶対数を排除する

= \int_{- 1}^{0} x^{2} - 3 x d x + \int_{0}^{1} - x^{2} + 3 x d x

\int_{- 1}^{0} x^{2} - 3 x d x = \frac{11}{6}

\int_{0}^{1} - x^{2} + 3 x d x = \frac{7}{6}

= \frac{11}{6} + \frac{7}{6}

簡素化

\frac{11}{6} + \frac{7}{6} : 3

= 3

グラフ

人気の例

integral from 0 to 2 of e^{x^2-2x}

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

integral from 0 to 1 of (x)^2

\int_{0}^{1} (x)^{2} d x

integral from 1 to 3 of 2e^{-2x}

\int_{1}^{3} 2 e^{- 2 x} d x

integral from 2 to 5 of 6x

\int_{2}^{5} 6 x d x

integral from 1 to 5 of |2x-6|

\int_{1}^{5} ∣ 2 x - 6 ∣ d x