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Popular Calculus >

integral from-6 to 3 of-x^2-3x

Solution

\int_{- 6}^{3} - x^{2} - 3 x d x

Solution

- \frac{81}{2}

+1

Decimal

- 40.5

Solution steps

\int_{- 6}^{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_{- 6}^{3} x^{2} d x - \int_{- 6}^{3} 3 x d x

\int_{- 6}^{3} x^{2} d x = 81

\int_{- 6}^{3} 3 x d x = - \frac{81}{2}

= - 81 - (- \frac{81}{2})

Simplify

- 81 - (- \frac{81}{2}) : - \frac{81}{2}

= - \frac{81}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-6 to 3 of-x^2-3x ?
The integral from-6 to 3 of-x^2-3x is -81/2