What is the integral of 150x+7500 ?

The integral of 150x+7500 is 75x^2+7500x+C

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integral of 150x+7500

\int 150 x + 7500 d x

75 x^{2} + 7500 x + C

Solution steps

\int 150 x + 7500 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 150 x d x + \int 7500 d x

\int 150 x d x = 75 x^{2}

\int 7500 d x = 7500 x

= 75 x^{2} + 7500 x

Add a constant to the solution

= 75 x^{2} + 7500 x + C