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Popular Calculus >

integral from 2 to 6 of x^2-2x-8

Solution

\int_{2}^{6} x^{2} - 2 x - 8 d x

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

\int_{2}^{6} 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_{2}^{6} x^{2} d x - \int_{2}^{6} 2 x d x - \int_{2}^{6} 8 d x

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 2 x d x = 32

\int_{2}^{6} 8 d x = 32

= \frac{208}{3} - 32 - 32

Simplify

\frac{208}{3} - 32 - 32 : \frac{16}{3}

= \frac{16}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of x^2-2x-8 ?
The integral from 2 to 6 of x^2-2x-8 is 16/3