so for christmas break the only work we have to do is the blog, which is eeaaassyyy!!!! so i am just going to go over some simple stuff that we have learned in this worderful class we call calculus.
substitution:
Substitution takes the place of the derivative rules for problems with a quotient rule and product rule, substitution has a few steps.
1. find u by looking inside the parentheses inside the problem
2. take the derivative of u to find du
3. go into the origional problem and switch out (substitute) the stuff
4. integrate
5. plug in
ok, so ln i kinda understand, ln integration happens when the bottom of a fraction is the u and the top is the derivative of u. so since the derivative of ln(x) is 1/x, the answer is just ln(u)+c like everytime.
e^x integration is pretty decent too, all you have to do for this kind of integration is set your u equal to the exponent of the e. So the derivative of e^x is just e^x times the derivative of x.
i did pretty good on my exam so i do not really have any questions, but since these things require that you post a question i guess i will. umm, for riemann sums, i know how to do LRAM, RRAM, and Trapezoidal, but i suck at MRAM, i was told you have to do LRAM and RRAM to do it, but i just have never done it so it confuses me. if someone could teach me that i'd be good. :)
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