What is the integral of (pix)/(12) ?

The integral of (pix)/(12) is (pix^2)/(24)+C

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integral of (pix)/(12)

\int \frac{π x}{12} d x

\frac{π x ^{2}}{24} + C

Solution steps

\int \frac{π x}{12} d x

Take the constant out:

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

= \frac{π}{12} \cdot \int x d x

Apply the Power Rule

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

= \frac{π}{12} \cdot \frac{x ^{2}}{2}

Simplify

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

= \frac{π x ^{2}}{24}

Add a constant to the solution

= \frac{π x ^{2}}{24} + C

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