Find the Function f(x)=1/2

$f (x) = \frac{1}{2}$

Step 1

The function $F (x)$ can be found by evaluating the indefinite integral of the derivative $f (x)$ .

$F (x) = \int f (x) d x$

Step 2

Apply the constant rule.

$\frac{1}{2} x + C$

Step 3

The function $F$ if derived from the integral of the derivative of the function. This is valid by the fundamental theorem of calculus.

$F (x) = \frac{1}{2} x + C$