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Popular >

integral from-3 to 2 of-x^2-2x

Solution

\int_{- 3}^{2} - x^{2} - 2 x d x

Solution

- \frac{20}{3}

+1

Decimal

- 6.66666 \dots

Solution steps

\int_{- 3}^{2} - 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_{- 3}^{2} x^{2} d x - \int_{- 3}^{2} 2 x d x

\int_{- 3}^{2} x^{2} d x = \frac{35}{3}

\int_{- 3}^{2} 2 x d x = - 5

= - \frac{35}{3} - (- 5)

Simplify

- \frac{35}{3} - (- 5) : - \frac{20}{3}

= - \frac{20}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of-x^2-2x ?
The integral from-3 to 2 of-x^2-2x is -20/3