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Popular Calculus >

integral of 18x^{17}

Solution

\int 18 x^{17} d x

Solution

x^{18} + C

Solution steps

\int 18 x^{17} d x

Take the constant out:

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

= 18 \cdot \int x^{17} d x

Apply the Power Rule

= 18 \cdot \frac{x ^{18}}{18}

Simplify

18 \cdot \frac{x ^{18}}{18} : x^{18}

= x^{18}

Add a constant to the solution

= x^{18} + C

Graph

Popular Examples

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(\partial)/(\partial x)(-x+y)

Frequently Asked Questions (FAQ)

What is the integral of 18x^{17} ?
The integral of 18x^{17} is x^{18}+C