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Popular >

integral of 6xy^2

Solution

\int 6 x y^{2} d y

Solution

2 x y^{3} + C

Solution steps

\int 6 x y^{2} d y

Take the constant out:

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

= 6 x \cdot \int y^{2} d y

Apply the Power Rule

: \frac{y ^{3}}{3}

= 6 x \frac{y ^{3}}{3}

Simplify

6 x \frac{y ^{3}}{3} : 2 x y^{3}

= 2 x y^{3}

Add a constant to the solution

= 2 x y^{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 6xy^2 ?
The integral of 6xy^2 is 2xy^3+C