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Popular Calculus >

integral of (-y^2)/2

Solution

\int \frac{- y ^{2}}{2} d y

Solution

- \frac{y ^{3}}{6} + C

Solution steps

\int \frac{- y ^{2}}{2} d y

Take the constant out:

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

= \frac{- 1}{2} \cdot \int y^{2} d y

Simplify

= (- \frac{1}{2}) \cdot \int y^{2} d y

Apply the Power Rule

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

Simplify

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

= - \frac{y ^{3}}{6}

Add a constant to the solution

= - \frac{y ^{3}}{6} + C

Graph

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Frequently Asked Questions (FAQ)

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