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Popular Calculus >

integral of yz^2

Solution

\int y z^{2} d y

Solution

\frac{z ^{2} y ^{2}}{2} + C

Solution steps

\int y z^{2} d y

Take the constant out:

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

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

Apply the Power Rule

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

= \frac{z ^{2} y ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of yz^2 ?
The integral of yz^2 is (z^2y^2)/2+C