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Popular >

integral of 1/6 x

Solution

\int \frac{1}{6} x d x

Solution

\frac{x ^{2}}{12} + C

Solution steps

\int \frac{1}{6} x d x

Take the constant out:

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

= \frac{1}{6} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{6} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{6} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{12}

= \frac{x ^{2}}{12}

Add a constant to the solution

= \frac{x ^{2}}{12} + C

Popular Examples

derivative of x/3 derivative of

\frac{x}{3}

integral of-2y^2+4x-5

\int - 2 y^{2} + 4 x - 5 d x

f (x) = x - 4

8 x + \frac{d y}{d x} = 0

limit as t approaches 0 of (u-ln(k))/t

t \to 0 lim (\frac{u - ln ( k )}{t})

Frequently Asked Questions (FAQ)

What is the integral of 1/6 x ?
The integral of 1/6 x is (x^2)/(12)+C