What is the integral from-4 to 5 of x^2-x-20 ?

The integral from-4 to 5 of x^2-x-20 is -243/2

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integral from-4 to 5 of x^2-x-20

\int_{- 4}^{5} x^{2} - x - 20 d x

- \frac{243}{2}

Decimal

- 121.5

Solution steps

\int_{- 4}^{5} x^{2} - x - 20 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_{- 4}^{5} x^{2} d x - \int_{- 4}^{5} x d x - \int_{- 4}^{5} 20 d x

\int_{- 4}^{5} x^{2} d x = 63

\int_{- 4}^{5} x d x = \frac{9}{2}

\int_{- 4}^{5} 20 d x = 180

= 63 - \frac{9}{2} - 180

Simplify

63 - \frac{9}{2} - 180 : - \frac{243}{2}

= - \frac{243}{2}

What is the integral from-4 to 5 of x^2-x-20 ?
The integral from-4 to 5 of x^2-x-20 is -243/2