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人気のある微分積分 >

integral from 0 to 3 of x^2+6x+9

解

\int_{0}^{3} x^{2} + 6 x + 9 d x

解

63

解答ステップ

\int_{0}^{3} x^{2} + 6 x + 9 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} 6 x d x + \int_{0}^{3} 9 d x

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

\int_{0}^{3} 6 x d x = 27

\int_{0}^{3} 9 d x = 27

= 9 + 27 + 27

簡素化

= 63

グラフ

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