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Popular >

integral of 1/36 x

Solution

\int \frac{1}{36} x d x

Solution

\frac{x ^{2}}{72} + C

Solution steps

\int \frac{1}{36} x d x

Take the constant out:

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

= \frac{1}{36} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{36} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{36} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{72}

= \frac{x ^{2}}{72}

Add a constant to the solution

= \frac{x ^{2}}{72} + C

Popular Examples

integral from 0 to 4 of 1/(x^2-2x-3)

\int_{0}^{4} \frac{1}{x ^{2} - 2 x - 3} d x

(dy)/(dx)=(2x)/(x^2+3)(y-1)

\frac{d y}{d x} = \frac{2 x}{x ^{2} + 3} (y - 1)

derivative of 1/(g^2(x))derivative of

\frac{1}{g ^{2} ( x )}

derivative of 10x(x^2+5)^4 derivative of

10 x (x^{2} + 5)^{4}

derivative of y=2e^3t derivative of

y = 2 e^{3} t

Frequently Asked Questions (FAQ)

What is the integral of 1/36 x ?
The integral of 1/36 x is (x^2)/(72)+C