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Popular >

integral from 0 to 3 of x^2-x-6

Solution

\int_{0}^{3} x^{2} - x - 6 d x

Solution

- \frac{27}{2}

+1

Decimal

- 13.5

Solution steps

\int_{0}^{3} x^{2} - x - 6 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_{0}^{3} x^{2} d x - \int_{0}^{3} x d x - \int_{0}^{3} 6 d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} x d x = \frac{9}{2}

\int_{0}^{3} 6 d x = 18

= 9 - \frac{9}{2} - 18

Simplify

9 - \frac{9}{2} - 18 : - \frac{27}{2}

= - \frac{27}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^2-x-6 ?
The integral from 0 to 3 of x^2-x-6 is -27/2