What is the integral of x^2-50x+700 ?

The integral of x^2-50x+700 is (x^3)/3-25x^2+700x+C

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integral of x^2-50x+700

\int x^{2} - 50 x + 700 d x

\frac{x ^{3}}{3} - 25 x^{2} + 700 x + C

Solution steps

\int x^{2} - 50 x + 700 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 x^{2} d x - \int 50 x d x + \int 700 d x

\int x^{2} d x = \frac{x ^{3}}{3}

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

\int 700 d x = 700 x

= \frac{x ^{3}}{3} - 25 x^{2} + 700 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 25 x^{2} + 700 x + C

What is the integral of x^2-50x+700 ?
The integral of x^2-50x+700 is (x^3)/3-25x^2+700x+C