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Popular >

integral of 6x^5

Solution

\int 6 x^{5} d x

Solution

x^{6} + C

Solution steps

\int 6 x^{5} d x

Take the constant out:

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

= 6 \cdot \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= 6 \cdot \frac{x ^{6}}{6}

Simplify

6 \cdot \frac{x ^{6}}{6} : x^{6}

= x^{6}

Add a constant to the solution

= x^{6} + C

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Frequently Asked Questions (FAQ)

What is the integral of 6x^5 ?
The integral of 6x^5 is x^6+C