What is the integral of 0.15-0.09e^{0.006x} ?

The integral of 0.15-0.09e^{0.006x} is 0.15x-15e^{0.006x}+C

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integral of 0.15-0.09e^{0.006x}

\int 0.15 - 0.09 e^{0.006 x} d x

0.15 x - 15 e^{0.006 x} + C

Solution steps

\int 0.15 - 0.09 e^{0.006 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 0.15 d x - \int 0.09 e^{0.006 x} d x

\int 0.15 d x = 0.15 x

\int 0.09 e^{0.006 x} d x = 15 e^{0.006 x}

= 0.15 x - 15 e^{0.006 x}

Add a constant to the solution

= 0.15 x - 15 e^{0.006 x} + C

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What is the integral of 0.15-0.09e^{0.006x} ?
The integral of 0.15-0.09e^{0.006x} is 0.15x-15e^{0.006x}+C