hello professor integration by parts: so what does it mean exactly when you have integral of df(x)/dx dx ? Does it just mean differentiate f(x) to get another function then integrate that with respect to x? But can the dx on the top and bottom not cancel?

  • John Armstrong

    Yes, that's what it means. And you, you can't cancel top and bottom. The Leibniz notation may look like a fraction but it's not a fraction. It's a <em>limit</em> of a fraction.