What is the integral of f(x,y,z) ?

The integral of f(x,y,z) is f,,yz(x^2)/2+C

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integral of f(x,y,z)

\int f (x, y, z) d x

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

Solution steps

\int f (x, y, z) d x

Take the constant out:

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

= f \cdot \int,, yz x d x

Take the constant out:

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

= f,, yz \cdot \int x d x

Apply the Power Rule

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

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

Add a constant to the solution

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

\int \frac{1}{100 - x ^{2}} d x

\frac{\partial}{\partial x} (\frac{- y ^{2}}{( x - y ) ^{2}})

\int e^{i 7 x} cos (5 x) d x

\frac{\partial}{\partial x} (5 e^{x - y})