What is the integral of (x^5)/(20) ?

The integral of (x^5)/(20) is (x^6)/(120)+C

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integral of (x^5)/(20)

\int \frac{x ^{5}}{20} d x

\frac{x ^{6}}{120} + C

Solution steps

\int \frac{x ^{5}}{20} d x

Take the constant out:

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

= \frac{1}{20} \cdot \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= \frac{1}{20} \cdot \frac{x ^{6}}{6}

Simplify

\frac{1}{20} \cdot \frac{x ^{6}}{6} : \frac{x ^{6}}{120}

= \frac{x ^{6}}{120}

Add a constant to the solution

= \frac{x ^{6}}{120} + C

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What is the integral of (x^5)/(20) ?
The integral of (x^5)/(20) is (x^6)/(120)+C