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Popular Calculus >

integral from-8 to 3 of-x^2-3x

Solution

\int_{- 8}^{3} - x^{2} - 3 x d x

Solution

- \frac{583}{6}

+1

Decimal

- 97.16666 \dots

Solution steps

\int_{- 8}^{3} - x^{2} - 3 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_{- 8}^{3} x^{2} d x - \int_{- 8}^{3} 3 x d x

\int_{- 8}^{3} x^{2} d x = \frac{539}{3}

\int_{- 8}^{3} 3 x d x = - \frac{165}{2}

= - \frac{539}{3} - (- \frac{165}{2})

Simplify

- \frac{539}{3} - (- \frac{165}{2}) : - \frac{583}{6}

= - \frac{583}{6}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-8 to 3 of-x^2-3x ?
The integral from-8 to 3 of-x^2-3x is -583/6