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Popular Calculus >

integral of-1/4 x

Solution

\int - \frac{1}{4} x d x

Solution

- \frac{x ^{2}}{8} + C

Solution steps

\int - \frac{1}{4} x d x

Take the constant out:

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

= - \frac{1}{4} \cdot \int x d x

Apply the Power Rule

= - \frac{1}{4} \cdot \frac{x ^{2}}{2}

Simplify

- \frac{1}{4} \cdot \frac{x ^{2}}{2} : - \frac{x ^{2}}{8}

= - \frac{x ^{2}}{8}

Add a constant to the solution

= - \frac{x ^{2}}{8} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-1/4 x ?
The integral of-1/4 x is -(x^2)/8+C