What is the integral of 5-x/(10000) ?

The integral of 5-x/(10000) is 5x-(x^2)/(20000)+C

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integral of 5-x/(10000)

\int 5 - \frac{x}{10000} d x

5 x - \frac{x ^{2}}{20000} + C

Solution steps

\int 5 - \frac{x}{10000} 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 5 d x - \int \frac{x}{10000} d x

\int 5 d x = 5 x

\int \frac{x}{10000} d x = \frac{x ^{2}}{20000}

= 5 x - \frac{x ^{2}}{20000}

Add a constant to the solution

= 5 x - \frac{x ^{2}}{20000} + C

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What is the integral of 5-x/(10000) ?
The integral of 5-x/(10000) is 5x-(x^2)/(20000)+C