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Popular Calculus >

integral from 0 to 7 of-x^2+7x

Solution

\int_{0}^{7} - x^{2} + 7 x d x

Solution

\frac{343}{6}

+1

Decimal

57.16666 \dots

Solution steps

\int_{0}^{7} - x^{2} + 7 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}^{7} x^{2} d x + \int_{0}^{7} 7 x d x

\int_{0}^{7} x^{2} d x = \frac{343}{3}

\int_{0}^{7} 7 x d x = \frac{343}{2}

= - \frac{343}{3} + \frac{343}{2}

Simplify

- \frac{343}{3} + \frac{343}{2} : \frac{343}{6}

= \frac{343}{6}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of-x^2+7x ?
The integral from 0 to 7 of-x^2+7x is 343/6