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人気のある微分積分 >

integral from 1 to 4 of 5-2t+3t^2

解

\int_{1}^{4} 5 - 2 t + 3 t^{2} d t

解

63

解答ステップ

\int_{1}^{4} 5 - 2 t + 3 t^{2} 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_{1}^{4} 5 d t - \int_{1}^{4} 2 t d t + \int_{1}^{4} 3 t^{2} d t

\int_{1}^{4} 5 d t = 15

\int_{1}^{4} 2 t d t = 15

\int_{1}^{4} 3 t^{2} d t = 63

= 15 - 15 + 63

簡素化

= 63

グラフ

人気の例

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