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

解答

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

10.48044 \dots

求解步骤

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

使用积分加法定则:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{6}^{11} 4 d x = 20

\int_{6}^{11} 10 e^{- 0.2 x} d x = 9.51955 \dots

= 20 - 9.51955 \dots

化简

= 10.48044 \dots

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