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Popular >

integral of x^2-4x

Solution

\int x^{2} - 4 x d x

Solution

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

Solution steps

\int x^{2} - 4 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 4 x d x

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

\int 4 x d x = 2 x^{2}

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial x)((5y)/(\sqrt[3]{x)})

tangent of f(x)=2x^2-9x+10,\at x=1 tangent of

f (x) = 2 x^{2} - 9 x + 10, at x = 1

y^'+1/x y= 2/3 x^4y^4

y^{^{'}} + \frac{1}{x} y = \frac{2}{3} x^{4} y^{4}

derivative of y=x^2+2x+11 derivative of

y = x^{2} + 2 x + 11

(dy)/(dx)=e(3x+2y)

\frac{d y}{d x} = e (3 x + 2 y)

Frequently Asked Questions (FAQ)

What is the integral of x^2-4x ?
The integral of x^2-4x is (x^3)/3-2x^2+C