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Popular Calculus >

integral of 3x^2y^2z

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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