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人気のある微分積分 >

integral from 2 to 5 of (t^2+2t)

解

\int_{2}^{5} (t^{2} + 2 t) d t

解

60

解答ステップ

\int_{2}^{5} t^{2} + 2 t d t

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_{2}^{5} t^{2} d t + \int_{2}^{5} 2 t d t

\int_{2}^{5} t^{2} d t = 39

\int_{2}^{5} 2 t d t = 21

= 39 + 21

簡素化

= 60

グラフ

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