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Popular >

integral of (x^2-6x)

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

limit as x approaches 0 of h(x)

x \to 0 lim (h (x))

integral of (sin(x)cos(x))/(1+sin^2(x))

\int \frac{sin ( x ) cos ( x )}{1 + sin ^{2} ( x )} d x

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\frac{d}{d x} (e^{5 x})

y^{^{''}} = y

integral of 1/(sqrt(1-6x^2))

\int \frac{1}{1 - 6 x ^{2}} d x

Frequently Asked Questions (FAQ)

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