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Popular >

integral of 1/12 x

Solution

\int \frac{1}{12} x d x

Solution

\frac{x ^{2}}{24} + C

Solution steps

\int \frac{1}{12} x d x

Take the constant out:

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

= \frac{1}{12} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{12} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{12} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{24}

= \frac{x ^{2}}{24}

Add a constant to the solution

= \frac{x ^{2}}{24} + C

Popular Examples

derivative of sin(0.5x)derivative of

sin (0.5 x)

y^{^{'}} = x + 8 y

(dy)/(dt)-y=1,y(0)=1

\frac{d y}{d t} - y = 1, y (0) = 1

integral of 1/(25-4x^2)

\int \frac{1}{25 - 4 x ^{2}} d x

(\partial)/(\partial y)(4x(4+y)^{-1})

\frac{\partial}{\partial y} (4 x (4 + y)^{- 1})

Frequently Asked Questions (FAQ)

What is the integral of 1/12 x ?
The integral of 1/12 x is (x^2)/(24)+C