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Popular Calculus >

integral of-y/2

Solution

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

Solution

- \frac{y ^{2}}{4} + C

Solution steps

\int - \frac{y}{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 d y

Apply the Power Rule

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

Simplify

- \frac{1}{2} \cdot \frac{y ^{2}}{2} : - \frac{y ^{2}}{4}

= - \frac{y ^{2}}{4}

Add a constant to the solution

= - \frac{y ^{2}}{4} + C

Graph

Popular Examples

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integral of (x^2)/(1+25x^2)

integral of 6/(2e^x+5)

Frequently Asked Questions (FAQ)

What is the integral of-y/2 ?
The integral of-y/2 is -(y^2)/4+C