What is the integral of 2x^2-5x+3 ?

The integral of 2x^2-5x+3 is (2x^3)/3-(5x^2)/2+3x+C

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integral of 2x^2-5x+3

\int 2 x^{2} - 5 x + 3 d x

\frac{2 x ^{3}}{3} - \frac{5 x ^{2}}{2} + 3 x + C

Solution steps

\int 2 x^{2} - 5 x + 3 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 2 x^{2} d x - \int 5 x d x + \int 3 d x

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

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 3 d x = 3 x

= \frac{2 x ^{3}}{3} - \frac{5 x ^{2}}{2} + 3 x

Add a constant to the solution

= \frac{2 x ^{3}}{3} - \frac{5 x ^{2}}{2} + 3 x + C

What is the integral of 2x^2-5x+3 ?
The integral of 2x^2-5x+3 is (2x^3)/3-(5x^2)/2+3x+C