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Popular >

integral of 2x^2-4x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral from 0 to 5 of 40e^{-0.3t}

\int_{0}^{5} 40 e^{- 0.3 t} d t

y^'=7xe^y,y(0)=0

y^{^{'}} = 7 x e^{y}, y (0) = 0

limit as x approaches 0 of (a^x-1)/(2x)

x \to 0 lim (\frac{a ^{x} - 1}{2 x})

limit as x approaches-infinity of 4x^3

x \to - \infty lim (4 x^{3})

limit as x approaches 0 of 8/(x+2)

x \to 0 lim (\frac{8}{x + 2})

Frequently Asked Questions (FAQ)

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