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Popular Calculus >

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

Solution

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

Solution

36

Solution steps

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

\int_{- 4}^{2} x^{2} d x = 24

\int_{- 4}^{2} 2 x d x = - 12

\int_{- 4}^{2} 8 d x = 48

= - 24 - (- 12) + 48

Simplify

= 36

Graph

Popular Examples

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t an g e n t y = sin (7 x) + sin^{2} (7 x), (0, 0)

integral from 0 to 1 of |2x-1|

\int_{0}^{1} ∣ 2 x - 1 ∣ d x

integral from 0 to 2pi of cos(3t)e^{-2t}

\int_{0}^{2 π} cos (3 t) e^{- 2 t} d t

y^{''}-2y^'+82y=0

y^{^{''}} - 2 y^{^{'}} + 82 y = 0

limit as x approaches 0+of (1+sqrt(x))^x

x \to 0 + lim ((1 + x)^{x})

Frequently Asked Questions (FAQ)

What is the integral from-4 to 2 of-x^2-2x+8 ?
The integral from-4 to 2 of-x^2-2x+8 is 36