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Popular Calculus >

integral from-2 to 0 of-x^2-2x

Solution

\int_{- 2}^{0} - x^{2} - 2 x d x

Solution

\frac{4}{3}

+1

Decimal

1.33333 \dots

Solution steps

\int_{- 2}^{0} - x^{2} - 2 x 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}^{0} x^{2} d x - \int_{- 2}^{0} 2 x d x

\int_{- 2}^{0} x^{2} d x = \frac{8}{3}

\int_{- 2}^{0} 2 x d x = - 4

= - \frac{8}{3} - (- 4)

Simplify

- \frac{8}{3} - (- 4) : \frac{4}{3}

= \frac{4}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 0 of-x^2-2x ?
The integral from-2 to 0 of-x^2-2x is 4/3