What is the integral of 4e^{0.8x}-0.5y ?

The integral of 4e^{0.8x}-0.5y is -0.5yx+5e^{0.8x}+C

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integral of 4e^{0.8x}-0.5y

\int 4 e^{0.8 x} - 0.5 y d x

- 0.5 y x + 5 e^{0.8 x} + C

Solution steps

\int 4 e^{0.8 x} - 0.5 y 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 0.5 y d x + \int 4 e^{0.8 x} d x

\int 0.5 y d x = 0.5 y x

\int 4 e^{0.8 x} d x = 5 e^{0.8 x}

= - 0.5 y x + 5 e^{0.8 x}

Add a constant to the solution

= - 0.5 y x + 5 e^{0.8 x} + C

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What is the integral of 4e^{0.8x}-0.5y ?
The integral of 4e^{0.8x}-0.5y is -0.5yx+5e^{0.8x}+C