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人気のある微分積分 >

integral from-1 to 1 of 9x^2-1

解

\int_{- 1}^{1} 9 x^{2} - 1 d x

解

4

解答ステップ

\int_{- 1}^{1} 9 x^{2} - 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}^{1} 9 x^{2} d x - \int_{- 1}^{1} 1 d x

\int_{- 1}^{1} 9 x^{2} d x = 6

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

= 6 - 2

簡素化

= 4

グラフ

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