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Popular >

integral of 3xy^2

Solution

\int 3 x y^{2} d y

Solution

x y^{3} + C

Solution steps

\int 3 x y^{2} d y

Take the constant out:

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

= 3 x \cdot \int y^{2} d y

Apply the Power Rule

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

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

Simplify

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

= x y^{3}

Add a constant to the solution

= x y^{3} + C

Graph

Popular Examples

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x^{2} - 2, - (x - 1)^{2} + 3

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\int x^{4} (3 x^{5} - 1)^{6} d x

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x d y - y d x = x^{2} + y^{2} d x

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\frac{d y}{d x} = 5^{x} ln (5) + \frac{1}{x ^{2} + 1}

Frequently Asked Questions (FAQ)

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