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人気のある微分積分 >

integral from-1 to 2 of (x-1)^2

解

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

解

3

解答ステップ

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

拡張

(x - 1)^{2} : x^{2} - 2 x + 1

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

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

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

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

= 3 - 3 + 3

簡素化

= 3

グラフ

人気の例

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