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人気のある微分積分 >

integral from 1 to 2 of (3-e^x)

解

\int_{1}^{2} (3 - e^{x}) d x

解

3 - e^{2} + e

+1

十進法表記

- 1.67077 \dots

解答ステップ

\int_{1}^{2} 3 - e^{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}^{2} 3 d x - \int_{1}^{2} e^{x} d x

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

\int_{1}^{2} e^{x} d x = e^{2} - e

= 3 - (e^{2} - e)

簡素化

= 3 - e^{2} + e

グラフ

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