Eyes on Final Fantasy Forums > Reference > Study Hall > For all of your notes...

[Fonz]

Notes usually help me in certain subjects, like Biology, not so much anything else.

[RubyLapiz]

thanks for saving me the effort to type up rolle's theorem and mean value theorem for functions

Back to integrationing:

Mean Value Theorem (integrals):
if f() is continuous on [a,b] (closed interval)
∃ a value "c" somewhere on [a,b] (inclusive) where
_a∫^b f(x)dx = f(c)(b-a)

Average Value:
f(c) = Avg value of f
If f is integrable on [a,b]
then avg value =
1/(b-a) _a∫^bf(x)dx

Second Fundamental Theorem of Calculus
If f() is continuous on (I) where a is a number in that interval
then:
d/dx[ _a∫^xf(t)dt] = f(x)

Rieman Sum:
_i=1∑ⁿ f(c_i)Δx; x_i ≤ c_i ≤ x_i

Definite Integrals:

If f() exists on [a,b]
holy crap okay I don't think I can do this in symbol notation. Heck, i don't even undestand what I have written in my notes. but it's the limit definition if someone wants to fill in the hole

[MKusanagi]

I'm going to close this window now. It's frightening me all of this math.

[NeoTifa]

lol now you know why i have like a 15% F in that class lol

[Rye]

I enjoy taking notes. My handwriting is dreadful, but it helps me remember things and I like having something to do with my hands.

[Momiji]

I rarely take notes. I take them in Government and that's about it, and even those are rather superficial. Most of the facts stay in my mind, so it isn't really a problem.

[scrumpleberry]

I doodle on my notes. It helps because I concentrate more in the lesson. I think ths type of thread would only work if we're all studying the same subject at the same level.

[Roto13]

Dear Lunar

Do you like me?

• Yes
• No

Please circle one.