What is the integral of 15.7-0.2x ?

The integral of 15.7-0.2x is 15.7x-0.1x^2+C

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integral of 15.7-0.2x

\int 15.7 - 0.2 x d x

15.7 x - 0.1 x^{2} + C

Solution steps

\int 15.7 - 0.2 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 15.7 d x - \int 0.2 x d x

\int 15.7 d x = 15.7 x

\int 0.2 x d x = 0.1 x^{2}

= 15.7 x - 0.1 x^{2}

Add a constant to the solution

= 15.7 x - 0.1 x^{2} + C