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Popular >

integral of-2x^2+2x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of (sqrt(x^2+x^{-2)+2})/x

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

integral of (2x+7)^5

\int (2 x + 7)^{5} d x

integral of (3100)/(1+0.25x)

\int \frac{3100}{1 + 0.25 x} d x

integral of 12-x^2

\int 12 - x^{2} d x

integral of (15e^{3t})/(sqrt(10+e^{3t))}

\int \frac{15 e ^{3 t}}{10 + e ^{3 t}} d t

Frequently Asked Questions (FAQ)

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