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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

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}

Graph

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x \to - 3 lim (5 (3 x^{2} - 24 x + 3))

integral from 0 to 4 of pi(2-sqrt(x))^2

\int_{0}^{4} π (2 - x)^{2} d x

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