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Popular Calculus >

integral of 6x^5y

Solution

\int 6 x^{5} y d x

Solution

y x^{6} + C

Solution steps

\int 6 x^{5} y d x

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

= y x^{6}

Add a constant to the solution

= y x^{6} + C

Graph

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Frequently Asked Questions (FAQ)

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