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Popular >

integral of x^2-2x-8

Solution

\int x^{2} - 2 x - 8 d x

Solution

\frac{x ^{3}}{3} - x^{2} - 8 x + C

Solution steps

\int x^{2} - 2 x - 8 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 2 x d x - \int 8 d x

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

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

\int 8 d x = 8 x

= \frac{x ^{3}}{3} - x^{2} - 8 x

Add a constant to the solution

= \frac{x ^{3}}{3} - x^{2} - 8 x + C

Popular Examples

integral from 3 to 10 of (100-y^2)(y+2)

\int_{3}^{10} (100 - y^{2}) (y + 2) d y

derivative of f(x)=x^3-5 derivative of

f (x) = x^{3} - 5

derivative of 1/(x^4+x^2+1)

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

(dy)/(dx)=((2x^4+2y))/(-2x-3y)

\frac{d y}{d x} = \frac{( 2 x ^{4} + 2 y )}{- 2 x - 3 y}

derivative of-2sin(2t)derivative of

- 2 sin (2 t)

Frequently Asked Questions (FAQ)

What is the integral of x^2-2x-8 ?
The integral of x^2-2x-8 is (x^3)/3-x^2-8x+C