Ah I see. Do you happen to remember the names of these formulas or the techniques of differentiation that you used? And often times in calculus there is lots of painstaking algebra to go through and lots of places to make little mistakes, and sometimes the most difficult step is the algebra. If you know the names of the two operations that you’re using it would be a big help (power rule, product rule, quotient rule, chain rule, etc.) yknow just to give me an idea of what you’re working with.
Integration is honestly, from my experience, much more difficult that differentiation. A tricky thing to understand is that every function has a derivative that we can evaluate, but not every function has an integral that we ourselves can fine (you’ll either need a computer program or higher level techniques). And often times it is much more difficult finding integrals even if it is possible. Another thing I’ve found to be really helpful with integration is knowing the theory and background behind it (i.e. Riemann Sums) and being able to picture it graphically.
Are you in Calculus 1? If so then I’m guessing your class isn’t using a ton of theory in your anti-derivatives (indefinite integrals), just the last section is a quick intro to it. Which is perfectly okay and should mean that there’s only a couple of formulas to learn before calc 2.
Something very vital in the understanding of calculus is that a derivative is the average rate of change of a function as a point moves along a curve, average rate of change. And an integral is the area under that curve from to points, area.
Lastly, you’re doing great! This is really tricky stuff and I hope I can help!