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Popular >

integral of 2x^2y

Solution

\int 2 x^{2} y d y

Solution

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

Solution steps

\int 2 x^{2} y d y

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

= x^{2} y^{2}

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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