What is the integral from 0 to 1 of 24+976e^{-0.1x} ?

The integral from 0 to 1 of 24+976e^{-0.1x} is 952.78679…

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integral from 0 to 1 of 24+976e^{-0.1x}

\int_{0}^{1} 24 + 976 e^{- 0.1 x} d x

952.78679 \dots

Solution steps

\int_{0}^{1} 24 + 976 e^{- 0.1 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}^{1} 24 d x + \int_{0}^{1} 976 e^{- 0.1 x} d x

\int_{0}^{1} 24 d x = 24

\int_{0}^{1} 976 e^{- 0.1 x} d x = 928.78679 \dots

= 24 + 928.78679 \dots

Simplify

= 952.78679 \dots

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What is the integral from 0 to 1 of 24+976e^{-0.1x} ?
The integral from 0 to 1 of 24+976e^{-0.1x} is 952.78679…