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Popular >

integral of (x^2-x)

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of-1.8x^2+14.4x

\frac{d}{d x} (- 1.8 x^{2} + 14.4 x)

(\partial)/(\partial x)(-4(x+y^6))

\frac{\partial}{\partial x} (- 4 (x + y^{6}))

tangent of (2y+1)^3-24x=-3,(-1,-2)tangent of

(2 y + 1)^{3} - 24 x = - 3, (- 1, - 2)

(\partial)/(\partial x)(5(x-3)^2)

\frac{\partial}{\partial x} (5 (x - 3)^{2})

(dy)/(dx)+2xy^4=0

\frac{d y}{d x} + 2 x y^{4} = 0

Frequently Asked Questions (FAQ)

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