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Popular Calculus >

integral of (1/2 x)

Solution

\int (\frac{1}{2} x) d x

Solution

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

Solution steps

\int \frac{1}{2} x d x

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (1/2 x) ?
The integral of (1/2 x) is (x^2)/4+C