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Popular Calculus >

integral of (2xy^2)

Solution

\int (2 x y^{2}) d x

Solution

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

Solution steps

\int 2 x y^{2} d x

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

= y^{2} x^{2}

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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