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Popular >

integral of-1/3 x

Solution

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

Solution

- \frac{x ^{2}}{6} + C

Solution steps

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

Take the constant out:

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

= - \frac{1}{3} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= - \frac{1}{3} \cdot \frac{x ^{2}}{2}

Simplify

- \frac{1}{3} \cdot \frac{x ^{2}}{2} : - \frac{x ^{2}}{6}

= - \frac{x ^{2}}{6}

Add a constant to the solution

= - \frac{x ^{2}}{6} + C

Graph

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\int 27 x^{3} d x

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\int 6 x sin (3 x^{2}) d x

integral of x^2sqrt(5+2x^3)

\int x^{2} 5 + 2 x^{3} d x

Frequently Asked Questions (FAQ)

What is the integral of-1/3 x ?
The integral of-1/3 x is -(x^2)/6+C