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Popular >

integral of 1/24 x

Solution

\int \frac{1}{24} x d x

Solution

\frac{x ^{2}}{48} + C

Solution steps

\int \frac{1}{24} x d x

Take the constant out:

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

= \frac{1}{24} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{24} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{24} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{48}

= \frac{x ^{2}}{48}

Add a constant to the solution

= \frac{x ^{2}}{48} + C

Popular Examples

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\int \frac{x ^{2}}{x ^{4} - 2 x ^{2} - 8} d x

(\partial)/(\partial x)(pix^2y)

\frac{\partial}{\partial x} (π x^{2} y)

Frequently Asked Questions (FAQ)

What is the integral of 1/24 x ?
The integral of 1/24 x is (x^2)/(48)+C