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Popular >

integral of 20x^{19}

Solution

\int 20 x^{19} d x

Solution

x^{20} + C

Solution steps

\int 20 x^{19} d x

Take the constant out:

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

= 20 \cdot \int x^{19} d x

Apply the Power Rule

: \frac{x ^{20}}{20}

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

Simplify

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

= x^{20}

Add a constant to the solution

= x^{20} + C

Popular Examples

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\frac{3}{s ^{2} + 2 s + 5}

Frequently Asked Questions (FAQ)

What is the integral of 20x^{19} ?
The integral of 20x^{19} is x^{20}+C