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Popular Calculus >

integral of-x+6

Solution

integral

- x + 6

Solution

- \frac{x ^{2}}{2} + 6 x + C

Solution steps

\int - x + 6 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 x d x + \int 6 d x

\int x d x = \frac{x ^{2}}{2}

\int 6 d x = 6 x

= - \frac{x ^{2}}{2} + 6 x

Add a constant to the solution

= - \frac{x ^{2}}{2} + 6 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-x+6 ?
The integral of-x+6 is -(x^2)/2+6x+C