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Popular Calculus >

integral of-2x^2+x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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