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人気のある微分積分 >

integral from 0 to 0.4 of 2x-5x^2

解

\int_{0}^{0.4} 2 x - 5 x^{2} d x

解

0.05333 \dots

解答ステップ

\int_{0}^{0.4} 2 x - 5 x^{2} 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}^{0.4} 2 x d x - \int_{0}^{0.4} 5 x^{2} d x

\int_{0}^{0.4} 2 x d x = 0.16

\int_{0}^{0.4} 5 x^{2} d x = 0.10666 \dots

= 0.16 - 0.10666 \dots

簡素化

= 0.05333 \dots

グラフ

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