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Popular >

integral from 2 to 7 of x^2-2x-8

Solution

\int_{2}^{7} x^{2} - 2 x - 8 d x

Solution

\frac{80}{3}

+1

Decimal

26.66666 \dots

Solution steps

\int_{2}^{7} 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}^{7} x^{2} d x - \int_{2}^{7} 2 x d x - \int_{2}^{7} 8 d x

\int_{2}^{7} x^{2} d x = \frac{335}{3}

\int_{2}^{7} 2 x d x = 45

\int_{2}^{7} 8 d x = 40

= \frac{335}{3} - 45 - 40

Simplify

\frac{335}{3} - 45 - 40 : \frac{80}{3}

= \frac{80}{3}

Graph

Popular Examples

integral from 2 to 4 of ((3x+14))/(46)

\int_{2}^{4} \frac{( 3 x + 14 )}{46} d x

integral from 0 to 2 of x/(1+2x^2)

\int_{0}^{2} \frac{x}{1 + 2 x ^{2}} d x

integral from pi/2 to (3pi)/2 of 1

\int_{\frac{π}{2}}^{\frac{3 π}{2}} 1

integral from 8 to 27 of (\sqrt[3]{x})

\int_{8}^{27} (3 x) d x

integral from 2 to 9 of 1/(2sqrt(x+7))

\int_{2}^{9} \frac{1}{2 x + 7} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 7 of x^2-2x-8 ?
The integral from 2 to 7 of x^2-2x-8 is 80/3