I honestly don't remember what the u-substitution rule is, although obviously, it involves substituting u in place of some part of the equation, a step that makes the integration possible where it otherwise wouldn't be. I could look it up if I wanted to do it. "That anti-differentation rule", on the other hand, is basically integration itself. It's the key to integration, the first thing you learn in calculus II. It's stupid that it's labelled as something different, and just evidence that the reporter has no clue what he's talking about.