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Popular Calculus >

integral of 21x^{20}

Solution

\int 21 x^{20} d x

Solution

x^{21} + C

Solution steps

\int 21 x^{20} d x

Take the constant out:

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

= 21 \cdot \int x^{20} d x

Apply the Power Rule

= 21 \cdot \frac{x ^{21}}{21}

Simplify

21 \cdot \frac{x ^{21}}{21} : x^{21}

= x^{21}

Add a constant to the solution

= x^{21} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 21x^{20} ?
The integral of 21x^{20} is x^{21}+C