This week in calculus we continued our study of integrals by revisiting U substitution. We first covered U substitution briefly during chapter 3 when studying antiderivatives. By using U Substitution we were able to turn complex indefinite integrals into something much easier to evaluate. In definite integrals U Substitution is used to make a more complex integral much easier to evaluate. I am going to be completly honest, I have literally no idea what is going on in calculus right now. I can do the problems but I cannot tell you what they mean or why. I am following a system of steps and I don't now what they mean and I have only a base understanding of what is happening. I wish I didn't feel so lost but I can't seem to figure out what is and isn't clicking in these topics. I understand the process of substitution, it’s the same thing we studied at the beginning of the year. I think the main cause of my distress is that this topic is very closely intertwined with what we learned in chapter 5, which after failing the test last week, is probably where my downfall lies. I need to revisit the topics from chapter 5 and recheck my understanding and maybe everything else in this coming chapter will finally click.
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January 2018
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