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Popular >

integral of x^2-x-6

Solution

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

Solution

\frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x + C

Solution steps

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

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

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

\int 6 d x = 6 x

= \frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x + C

Popular Examples

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\frac{d}{d x} (4 sin (4 x))

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\frac{d}{d x} (ln (cosh (7 x)))

integral of x^2+x^2

\int x^{2} + x^{2} d x

Frequently Asked Questions (FAQ)

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