What is the integral of (x^8)/(24) ?

The integral of (x^8)/(24) is (x^9)/(216)+C

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integral of (x^8)/(24)

\int \frac{x ^{8}}{24} d x

\frac{x ^{9}}{216} + C

Solution steps

\int \frac{x ^{8}}{24} 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^{8} d x

Apply the Power Rule

: \frac{x ^{9}}{9}

= \frac{1}{24} \cdot \frac{x ^{9}}{9}

Simplify

\frac{1}{24} \cdot \frac{x ^{9}}{9} : \frac{x ^{9}}{216}

= \frac{x ^{9}}{216}

Add a constant to the solution

= \frac{x ^{9}}{216} + C

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What is the integral of (x^8)/(24) ?
The integral of (x^8)/(24) is (x^9)/(216)+C