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Popular >

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

Popular Examples

integral of 17e^u

\int 17 e^{u} d u

integral of x(x^2+9)^3

\int x (x^{2} + 9)^{3} d x

integral of x/(x^3+3x^2+7x+5)

\int \frac{x}{x ^{3} + 3 x ^{2} + 7 x + 5} d x

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

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

integral of (3x^2+(25)/(2x^3))

\int (3 x^{2} + \frac{25}{2 x ^{3}}) d x

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