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Popular >

integral of xyz^2

Solution

\int x y z^{2} d x

Solution

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

Solution steps

\int x y z^{2} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

integral of sec(sqrt(x+1))tan(sqrt(x+1))

\int sec (x + 1) tan (x + 1) d x

integral of x^2(x^3+1)^{1/4}

\int x^{2} (x^{3} + 1)^{\frac{1}{4}} d x

(\partial)/(\partial t)(2cos(t))

\frac{\partial}{\partial t} (2 cos (t))

f(x)=2arctan(x)

f (x) = 2 arctan (x)

\frac{d}{d y} (\frac{1}{y})

Frequently Asked Questions (FAQ)

What is the integral of xyz^2 ?
The integral of xyz^2 is (yz^2x^2)/2+C