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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

Graph

Popular Examples

integral of (9x)/(\sqrt[4]{3x^2+8)}

\int \frac{9 x}{4 3 x ^{2} + 8} d x

integral of x^3+3x^2+2x

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

integral of (12)/(sqrt(4+9x^2))

\int \frac{12}{4 + 9 x ^{2}} d x

integral of cos^2(ax+b)

\int cos^{2} (a x + b) d x

integral of (cos(sqrt(x)+1))/(sqrt(x))

\int \frac{cos ( x + 1 )}{x} d x

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