Question

What is the integral of dy/dx?

Answer 1

First set up the problem.

`int (dy)/(dx) dx`

Right away the two `dx` terms cancel out, and you are left with;

`int dy`

The solution to which is;

`y + C`

where `C` is a constant.

This shouldn't be much of a surprise considering that derivatives and integrals are opposites. Therefore, taking the integral of a derivative should return the original function `+ C`