post 26

HAPPY VALENTINES DAY! hope everyone had a good one :)

ok so this week in calculus we took 2 more ap tests & then did worksheets on thursday and friday after brob went on maternity leave. we also did a lot of helpful stuff on monday and tuesday. i'll go over some of that
ok so e integration:
S e^3x

all you do is recopy the problem e^3x, then multiply it by the derivative of the exponent.. (3)

also we learned about position, veloctiy, accelaration.
if you are moving down that list.. for example given velocity, asked for acceleration, then take the derivative. DOWN - DERIVATIVE
if you are moving up that list...ex: given velocity asked for position, then integrate. UP - INTEGRATE

also we learned about ln integration. if the top is the derivative of the bottom, then it's ln integration
example:
S 2x/x^2, then your answer would be ln(x^2) + C
also, if you need to substitute anything in, like a negative or a number, just put it in front of the ln.
example:
S -2x/x^2, then your answer would be -ln(x^2) + C

LRAM,
find delta x. then multiply delta x times [f(a) + f(a+1) +... + (fb)]
i FINALLY UNDERSTAND IT! haha, and RRAM is the same, it just starts with f(b) and ends with f(a).

i don't understand integrals. i get the basics, but whenever i get to more complex problems, i don't even know where to start. no matter if they have trig functions or not, i just don't get it. i need help,like the worksheet we did on thursday, i only knew 1 out of 12 problems. can someone just help me in general with that? find the hardest one you can and just give an example.