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Popular >

integral of 4x^3y^3

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{4}}{4}

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

Simplify

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

= y^{3} x^{4}

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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