1. State your u and du
2. Integrate
3. Plug u back in
also a lot of the time, you need to substitue in a number. when doing this, simply put it in front of the problem when you are done.
LRAM-delta x[f(a)+f(a+delta x)+...f(b-delta x)]
RRAM-delta x[f(a+delta x)+...f(b)]
MRAM-delta x[f(mid)+f(mid)+...]
TRAM-delta x/2[f(a)+2f(a+delta x)+2f(a+2 delta x)+...f(b)]
*for TRAM, delta x is [b-a/# of subintervals]
volume by disks:
pi S [function]^2 dx.
solve it by taking the integral of it and then pluging in the numbers they give you.
REMEMBER TO GRAPH
volume by washers:
pi S [top function]^2 - [bottom function]^2 dx.
take the integral of it and plug in the numbers they give you or you found by setting the formulas equal to each other and then solve
REMEMBER TO GRAPH
i still need help with intergration.
I know everyone keeps repeating it, but you've gotta know your derivatives to integrate...someone mentioned that it's one of those concepts that just have to click one day when you don't expect it =/
ReplyDeleteintegration tips:
ReplyDelete1. Look out for trig identities you can use that will make the integral simpler
2. Substitution! Trig substitution often works
3. Use basic algebraic methods to simplify an expression.