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人気のある微分積分 >

integral from 1 to 5 of (3x^2+5x)

解

\int_{1}^{5} (3 x^{2} + 5 x) d x

解

184

解答ステップ

\int_{1}^{5} 3 x^{2} + 5 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_{1}^{5} 3 x^{2} d x + \int_{1}^{5} 5 x d x

\int_{1}^{5} 3 x^{2} d x = 124

\int_{1}^{5} 5 x d x = 60

= 124 + 60

簡素化

= 184

グラフ

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