What is the integral of (x^4)/(12) ?

The integral of (x^4)/(12) is (x^5)/(60)+C

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integral of (x^4)/(12)

\int \frac{x ^{4}}{12} d x

\frac{x ^{5}}{60} + C

Solution steps

\int \frac{x ^{4}}{12} 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^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= \frac{1}{12} \cdot \frac{x ^{5}}{5}

Simplify

\frac{1}{12} \cdot \frac{x ^{5}}{5} : \frac{x ^{5}}{60}

= \frac{x ^{5}}{60}

Add a constant to the solution

= \frac{x ^{5}}{60} + C

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