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人気のある微分積分 >

integral from 6 to 11 of 4x-10xe^{-0.2x}

解

\int_{6}^{11} 4 x - 10 x e^{- 0.2 x} d x

解

92.98571 \dots

解答ステップ

\int_{6}^{11} 4 x - 10 x e^{- 0.2 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_{6}^{11} 4 x d x - \int_{6}^{11} 10 x e^{- 0.2 x} d x

\int_{6}^{11} 4 x d x = 170

\int_{6}^{11} 10 x e^{- 0.2 x} d x = 77.01428 \dots

= 170 - 77.01428 \dots

簡素化

= 92.98571 \dots

グラフ

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