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Popular Calculus >

integral from-5 to 0 of-x^2-5x

Solution

\int_{- 5}^{0} - x^{2} - 5 x d x

Solution

\frac{125}{6}

+1

Decimal

20.83333 \dots

Solution steps

\int_{- 5}^{0} - x^{2} - 5 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_{- 5}^{0} x^{2} d x - \int_{- 5}^{0} 5 x d x

\int_{- 5}^{0} x^{2} d x = \frac{125}{3}

\int_{- 5}^{0} 5 x d x = - \frac{125}{2}

= - \frac{125}{3} - (- \frac{125}{2})

Simplify

- \frac{125}{3} - (- \frac{125}{2}) : \frac{125}{6}

= \frac{125}{6}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-5 to 0 of-x^2-5x ?
The integral from-5 to 0 of-x^2-5x is 125/6