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Popular Calculus >

integral of 9x^8

Solution

\int 9 x^{8} d x

Solution

x^{9} + C

Solution steps

\int 9 x^{8} d x

Take the constant out:

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

= 9 \cdot \int x^{8} d x

Apply the Power Rule

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

Simplify

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

= x^{9}

Add a constant to the solution

= x^{9} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 9x^8 ?
The integral of 9x^8 is x^9+C