This week in A.P. Calculus, we started the hardest unit that I've encountered thus far this year. That was U - Substitution. I think this unit is particularly challenging because I have a tough time using and thinking about multiple variables, not to mention anti - differentiating equations. Going through the notes, most of the material went over my head but after a few days' practice, I believe I was able to nail the bulk of the concept down. Topics that are completely unfamiliar which U-Sub is, tend to take more time to understand than topics that I have either seen before or can be worked out. There is not all that much to U - Sub to begin with, and I think that is why it can be so challenging. Really all there is to it is identifying U (which is easy) taking the derivative of U, messing with the original function to make it look nice, and then inputting the original equation back in for the evaluated U. There are lots of variations to this process, all messing with any set rules that can be used to solve the problem. With any difficult problem, I think the best approach is to attack it from multiple directions and multiple angles, if at all possible.
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