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Popular >

integral of 2xy^3z^4

Solution

\int 2 x y^{3} z^{4} d x

Solution

y^{3} z^{4} x^{2} + C

Solution steps

\int 2 x y^{3} z^{4} d x

Take the constant out:

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

= 2 y^{3} z^{4} \cdot \int x d x

Apply the Power Rule

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

= 2 y^{3} z^{4} \frac{x ^{2}}{2}

Simplify

2 y^{3} z^{4} \frac{x ^{2}}{2} : y^{3} z^{4} x^{2}

= y^{3} z^{4} x^{2}

Add a constant to the solution

= y^{3} z^{4} x^{2} + C

Popular Examples

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\frac{d}{d x} (\frac{x}{1 + 4 x ^{2}})

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\int \frac{k}{x} d x

integral of-x/(e^x)

\int - \frac{x}{e ^{x}} d x

Frequently Asked Questions (FAQ)

What is the integral of 2xy^3z^4 ?
The integral of 2xy^3z^4 is y^3z^4x^2+C