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Popular Calculus >

integral from-4 to-2 of (x^2-4)

Solution

\int_{- 4}^{- 2} (x^{2} - 4) d x

Solution

\frac{32}{3}

+1

Decimal

10.66666 \dots

Solution steps

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

\int_{- 4}^{- 2} x^{2} d x = \frac{56}{3}

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

= \frac{56}{3} - 8

Simplify

\frac{56}{3} - 8 : \frac{32}{3}

= \frac{32}{3}

Graph

Popular Examples

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d er i v a t i v e 5 x^{2} + x

y^'=((x^2+xy+y^2))/(x^2)

y^{^{'}} = \frac{( x ^{2} + x y + y ^{2} )}{x ^{2}}

integral of xsin(x/2)

\int x sin (\frac{x}{2}) d x

derivative of f(t)=4t^2+5

d er i v a t i v e f (t) = 4 t^{2} + 5

area 3-(x^2)/2 ,1,2

a re a 3 - \frac{x ^{2}}{2}, 1, 2

Frequently Asked Questions (FAQ)

What is the integral from-4 to-2 of (x^2-4) ?
The integral from-4 to-2 of (x^2-4) is 32/3