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Popular >

integral of x^2-2x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

\int c x d x

integral from-1 to 1 of 1/2 (3-3x^2)^2

\int_{- 1}^{1} \frac{1}{2} (3 - 3 x^{2})^{2} d x

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\frac{\partial}{\partial x} (\frac{4 x + 3}{4 y + 1})

derivative of (ln(x)/(x^{5/4)})

\frac{d}{d x} (\frac{ln ( x )}{x ^{\frac{5}{4}}})

Frequently Asked Questions (FAQ)

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