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Popular >

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

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

= 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

Popular Examples

integral of (4+e^x)

\int (4 + e^{x}) d x

integral of (e^{3x})/(9+e^{2x)}

\int \frac{e ^{3 x}}{9 + e ^{2 x}} d x

integral from 0 to sqrt(3 of)(6/(1+x^2))

\int_{0}^{3} (\frac{6}{1 + x ^{2}}) d x

limit as x approaches 0 of (3x-4)^4

x \to 0 lim ((3 x - 4)^{4})

derivative of 2sqrt(e^{(sin(w))/3)+1}derivative of

2 e^{\frac{s i n ( w )}{3}} + 1

Frequently Asked Questions (FAQ)

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