integral of 25.89e^{-0.993x}+6.39

解答

\int 25.89 e^{- 0.993 x} + 6.39 d x

- 26.07250 \dots e^{- 0.993 x} + 6.39 x + C

求解步骤

\int 25.89 e^{- 0.993 x} + 6.39 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 25.89 e^{- 0.993 x} d x + \int 6.39 d x

\int 25.89 e^{- 0.993 x} d x = - 26.07250 \dots e^{- 0.993 x}

\int 6.39 d x = 6.39 x

= - 26.07250 \dots e^{- 0.993 x} + 6.39 x

解答补常数

= - 26.07250 \dots e^{- 0.993 x} + 6.39 x + C

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