What is the integral of 2/5-1/25 x ?

The integral of 2/5-1/25 x is 2/5 x-(x^2)/(50)+C

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integral of 2/5-1/25 x

\int \frac{2}{5} - \frac{1}{25} x d x

\frac{2}{5} x - \frac{x ^{2}}{50} + C

Solution steps

\int \frac{2}{5} - \frac{1}{25} 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 \frac{2}{5} d x - \int \frac{1}{25} x d x

\int \frac{2}{5} d x = \frac{2}{5} x

\int \frac{1}{25} x d x = \frac{x ^{2}}{50}

= \frac{2}{5} x - \frac{x ^{2}}{50}

Add a constant to the solution

= \frac{2}{5} x - \frac{x ^{2}}{50} + C

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What is the integral of 2/5-1/25 x ?
The integral of 2/5-1/25 x is 2/5 x-(x^2)/(50)+C