What is the integral from 0 to 60 of 6-6e^{-0.11x} ?

The integral from 0 to 60 of 6-6e^{-0.11x} is 305.52874…

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integral from 0 to 60 of 6-6e^{-0.11x}

\int_{0}^{60} 6 - 6 e^{- 0.11 x} d x

305.52874 \dots

Solution steps

\int_{0}^{60} 6 - 6 e^{- 0.11 x} d x

Apply the Sum Rule:

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

= \int_{0}^{60} 6 d x - \int_{0}^{60} 6 e^{- 0.11 x} d x

\int_{0}^{60} 6 d x = 360

\int_{0}^{60} 6 e^{- 0.11 x} d x = 54.47125 \dots

= 360 - 54.47125 \dots

Simplify

= 305.52874 \dots

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What is the integral from 0 to 60 of 6-6e^{-0.11x} ?
The integral from 0 to 60 of 6-6e^{-0.11x} is 305.52874…