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Popular Calculus >

integral of 20x^9

Solution

\int 20 x^{9} d x

Solution

2 x^{10} + C

Solution steps

\int 20 x^{9} d x

Take the constant out:

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

= 20 \cdot \int x^{9} d x

Apply the Power Rule

= 20 \cdot \frac{x ^{10}}{10}

Simplify

20 \cdot \frac{x ^{10}}{10} : 2 x^{10}

= 2 x^{10}

Add a constant to the solution

= 2 x^{10} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 20x^9 ?
The integral of 20x^9 is 2x^{10}+C