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Popular Calculus >

integral of v/2

Solution

integral

\frac{v}{2}

Solution

\frac{v ^{2}}{4} + C

Solution steps

\int \frac{v}{2} d v

Take the constant out:

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

= \frac{1}{2} \cdot \int v d v

Apply the Power Rule

= \frac{1}{2} \cdot \frac{v ^{2}}{2}

Simplify

\frac{1}{2} \cdot \frac{v ^{2}}{2} : \frac{v ^{2}}{4}

= \frac{v ^{2}}{4}

Add a constant to the solution

= \frac{v ^{2}}{4} + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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