What is the integral of 120.8-e^{0.14x} ?

The integral of 120.8-e^{0.14x} is 120.8x-7.14285…e^{0.14x}+C

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integral of 120.8-e^{0.14x}

\int 120.8 - e^{0.14 x} d x

120.8 x - 7.14285 \dots e^{0.14 x} + C

Solution steps

\int 120.8 - e^{0.14 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 120.8 d x - \int e^{0.14 x} d x

\int 120.8 d x = 120.8 x

\int e^{0.14 x} d x = 7.14285 \dots e^{0.14 x}

= 120.8 x - 7.14285 \dots e^{0.14 x}

Add a constant to the solution

= 120.8 x - 7.14285 \dots e^{0.14 x} + C

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What is the integral of 120.8-e^{0.14x} ?
The integral of 120.8-e^{0.14x} is 120.8x-7.14285…e^{0.14x}+C