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Popular Calculus >

integral of 4xy^2

Solution

\int 4 x y^{2} d x

Solution

2 y^{2} x^{2} + C

Solution steps

\int 4 x y^{2} d x

Take the constant out:

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

= 4 y^{2} \cdot \int x d x

Apply the Power Rule

= 4 y^{2} \frac{x ^{2}}{2}

Simplify

4 y^{2} \frac{x ^{2}}{2} : 2 y^{2} x^{2}

= 2 y^{2} x^{2}

Add a constant to the solution

= 2 y^{2} x^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 4xy^2 ?
The integral of 4xy^2 is 2y^2x^2+C