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Popular >

integral of xyz

Solution

\int x yz d x

Solution

\frac{yz x ^{2}}{2} + C

Solution steps

\int x yz d x

Take the constant out:

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

= yz \cdot \int x d x

Apply the Power Rule

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

= yz \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{yz x ^{2}}{2}

Add a constant to the solution

= \frac{yz x ^{2}}{2} + C

Popular Examples

integral of (arcsin(x))/(2sqrt(1-x^2))

\int \frac{arcsin ( x )}{2 1 - x ^{2}} d x

integral of cos(10x)cos(7x)

\int cos (10 x) cos (7 x) d x

integral of (sin(x))/(9+cos^2(x))

\int \frac{sin ( x )}{9 + cos ^{2} ( x )} d x

integral of (sec(x))/(tan^3(x))

\int \frac{sec ( x )}{tan ^{3} ( x )} d x

integral of (sec^2(3)sqrt(x))/(sqrt(x))

\int \frac{sec ^{2} ( 3 ) x}{x} d x

Frequently Asked Questions (FAQ)

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