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Popular >

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

Solution

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

Solution

- \frac{125}{6}

+1

Decimal Notation

- 20.83333 \dots

Solution steps

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

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

\int_{0}^{5} 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}

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Frequently Asked Questions (FAQ)

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