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Popular Calculus >

integral of 2x^2-6x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

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\frac{d}{d x} (ln ((2 x + 3)^{4}) (x + 1)^{3})

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d er i v a t i v e y = - 2 e^{5 x^{2}}

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derivative of f(x)=2+x

d er i v a t i v e f (x) = 2 + x

(2x^3+y^3)dx-3xy^2dy=0

(2 x^{3} + y^{3}) d x - 3 x y^{2} d y = 0

Frequently Asked Questions (FAQ)

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