I have two operations.

$\displaystyle \frac{1}{2}\sin(\arctan{f(\frac{1}{2})})=0.4131847 431$

and

$\displaystyle \int_{0}^{1}g(x)dx=0.41318$

(The calculator rounds the integral to this)

Is it safe to set the two operations equal to each other?

I may not be using the term "operation" correctly here. But you get my drift.