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Popular Calculus >

integral of u/2

Solution

\int \frac{u}{2} d u

Solution

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

Solution steps

\int \frac{u}{2} d u

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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