What is the integral of-2/25 x+45 ?

The integral of-2/25 x+45 is -(x^2)/(25)+45x+C

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integral of-2/25 x+45

\int - \frac{2}{25} x + 45 d x

- \frac{x ^{2}}{25} + 45 x + C

Solution steps

\int - \frac{2}{25} x + 45 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}{25} x d x + \int 45 d x

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

\int 45 d x = 45 x

= - \frac{x ^{2}}{25} + 45 x

Add a constant to the solution

= - \frac{x ^{2}}{25} + 45 x + C

What is the integral of-2/25 x+45 ?
The integral of-2/25 x+45 is -(x^2)/(25)+45x+C