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人気のある微分積分 >

integral from 1 to 2 of 1-4e^{-3x}

解

\int_{1}^{2} 1 - 4 e^{- 3 x} d x

解

1 - \frac{4 ( e ^{3} - 1 )}{3 e ^{6}}

+1

十進法表記

0.93692 \dots

解答ステップ

\int_{1}^{2} 1 - 4 e^{- 3 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} 1 d x - \int_{1}^{2} 4 e^{- 3 x} d x

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

\int_{1}^{2} 4 e^{- 3 x} d x = \frac{4 ( e ^{3} - 1 )}{3 e ^{6}}

= 1 - \frac{4 ( e ^{3} - 1 )}{3 e ^{6}}

グラフ

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