What is the integral of 1000x+250 ?

The integral of 1000x+250 is 500x^2+250x+C

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integral of 1000x+250

\int 1000 x + 250 d x

500 x^{2} + 250 x + C

Solution steps

\int 1000 x + 250 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 1000 x d x + \int 250 d x

\int 1000 x d x = 500 x^{2}

\int 250 d x = 250 x

= 500 x^{2} + 250 x

Add a constant to the solution

= 500 x^{2} + 250 x + C

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