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Popular Calculus >

integral of 1/2-x

Solution

\int \frac{1}{2} - x d x

Solution

\frac{1}{2} x - \frac{x ^{2}}{2} + C

Solution steps

\int \frac{1}{2} - 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 \frac{1}{2} d x - \int x d x

\int \frac{1}{2} d x = \frac{1}{2} x

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

= \frac{1}{2} x - \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{1}{2} x - \frac{x ^{2}}{2} + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of 1/2-x ?
The integral of 1/2-x is 1/2 x-(x^2)/2+C