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Popular >

integral of (2xy^3)

Solution

\int (2 x y^{3}) d x

Solution

y^{3} x^{2} + C

Solution steps

\int 2 x y^{3} d x

Take the constant out:

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

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

Apply the Power Rule

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

= 2 y^{3} \frac{x ^{2}}{2}

Simplify

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

= y^{3} x^{2}

Add a constant to the solution

= y^{3} x^{2} + C

Popular Examples

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y^{^{'}} = e^{3 x + y}

derivative of (3x^{1/2}/2)

\frac{d}{d x} (\frac{3 x ^{\frac{1}{2}}}{2})

integral of x(e^{-5x})

\int x (e^{- 5 x}) d x

derivative of y=ln(7x)derivative of

y = ln (7 x)

Frequently Asked Questions (FAQ)

What is the integral of (2xy^3) ?
The integral of (2xy^3) is y^3x^2+C