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Popular >

integral from 4 to 6 of x^2-2x-8

Solution

\int_{4}^{6} x^{2} - 2 x - 8 d x

Solution

\frac{44}{3}

+1

Decimal Notation

14.66666 \dots

Solution steps

\int_{4}^{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_{4}^{6} x^{2} d x - \int_{4}^{6} 2 x d x - \int_{4}^{6} 8 d x

\int_{4}^{6} x^{2} d x = \frac{152}{3}

\int_{4}^{6} 2 x d x = 20

\int_{4}^{6} 8 d x = 16

= \frac{152}{3} - 20 - 16

Simplify

\frac{152}{3} - 20 - 16 : \frac{44}{3}

= \frac{44}{3}

Popular Examples

integral from 4 to 19 of (18)/(x^3)

\int_{4}^{19} \frac{18}{x ^{3}} d x

integral from-pi to x of sin(t)

\int_{- π}^{x} sin (t) d t

integral from 0 to 1 of sqrt(4+x)

\int_{0}^{1} 4 + x d x

integral from-pi/2 to pi/2 of-sin(x)

\int_{- \frac{π}{2}}^{\frac{π}{2}} - sin (x) d x

integral from 0 to 1 of (8x+sqrt(x))

\int_{0}^{1} (8 x + x) d x

Frequently Asked Questions (FAQ)

What is the integral from 4 to 6 of x^2-2x-8 ?
The integral from 4 to 6 of x^2-2x-8 is 44/3