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Popular Calculus >

integral of (-x)/3

Solution

integral

\frac{- x}{3}

Solution

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

Solution steps

\int \frac{- x}{3} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{- 1}{3} \cdot \int x d x

Simplify

= (- \frac{1}{3}) \cdot \int x d x

Apply the Power Rule

= (- \frac{1}{3}) \frac{x ^{2}}{2}

Simplify

(- \frac{1}{3}) \frac{x ^{2}}{2} : - \frac{x ^{2}}{6}

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (-x)/3 ?
The integral of (-x)/3 is -(x^2)/6+C