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Popular Calculus >

integral of-1/2 x^3

Solution

\int - \frac{1}{2} x^{3} d x

Solution

- \frac{x ^{4}}{8} + C

Solution steps

\int - \frac{1}{2} x^{3} 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^{3} d x

Apply the Power Rule

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

Simplify

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

= - \frac{x ^{4}}{8}

Add a constant to the solution

= - \frac{x ^{4}}{8} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-1/2 x^3 ?
The integral of-1/2 x^3 is -(x^4)/8+C