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Popular Calculus >

integral from 0 to 6 of-x^2+6x

Solution

\int_{0}^{6} - x^{2} + 6 x d x

Solution

36

Solution steps

\int_{0}^{6} - x^{2} + 6 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}^{6} x^{2} d x + \int_{0}^{6} 6 x d x

\int_{0}^{6} x^{2} d x = 72

\int_{0}^{6} 6 x d x = 108

= - 72 + 108

Simplify

= 36

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of-x^2+6x ?
The integral from 0 to 6 of-x^2+6x is 36