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Popular Calculus >

integral of 3x^2-6x

Solution

\int 3 x^{2} - 6 x d x

Solution

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

Solution steps

\int 3 x^{2} - 6 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 3 x^{2} d x - \int 6 x d x

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

\int 6 x d x = 3 x^{2}

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

Add a constant to the solution

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

Graph

Popular Examples

area f(x)=x^2+x-56,g(x)=-x^2+3x+4

a re a f (x) = x^{2} + x - 56, g (x) = - x^{2} + 3 x + 4

derivative of 1+a/r-b/(r^3)

d er i v a t i v e 1 + \frac{a}{r} - \frac{b}{r ^{3}}

integral of (sec(x)tan(x))/(sec(x)-1)

\int \frac{sec ( x ) tan ( x )}{sec ( x ) - 1} d x

derivative of (x+2)(2x^2-3)

d er i v a t i v e (x + 2) (2 x^{2} - 3)

integral of xe^{kx}

\int x e^{k x} d x

Frequently Asked Questions (FAQ)

What is the integral of 3x^2-6x ?
The integral of 3x^2-6x is x^3-3x^2+C