Ash's 15th Post

First off: I rename Holidays to Stressingdays
I.
Hate.
"Holidays"

Now that that's half-way out of my system...let's move on


Wow...I just got majorly distracted on another site..I'm going to stay focused this time

Let's explainnn...umm...Riemann Sums! Okay, yes, this is a bit over-done, but I don't know what else to do! =P

First step!!
Find delta.
How do you find delta? Why, like this :)

b
S (insert equation here)
a
With N subintervals

Here's the formula: (b-a)/n
Simple right?

Now, take your delta and plug it into your equation.
What? There's more to plug in than just that, you say? Well, let's get to it!

So, there's all of these crazy letters and shapes in parenthesis right? Right!
But what do they mean?
Well, let's provide a vocab list

Trianglex = Delta
f(a) = plug in the number on the bottom of your integration symbol
f(b) = plug in the number on the top of your integration symbol
f(Trianglex) = plug in delta to your equation
f(a+trianglex) = solve a+delta and then plug it into your equation
f(b-trianglex) = find b-delta and plug it in (usually the last number to plug in on LRAM)
f(mid) = find the middle number of two numbers and then plug it into your equaion

Now see? Easy peasy!

After you know your delta, a, and b, plug it all into the formulas!

LRAM: delta(f(a)+f(a+delta)+f(a+2delta)...+f(b-delta))
RRAM: delta(f(a+delta)+f(a+2delta)+...f(b))
MRAM: delta(f(mid)+f(mid)...)
Trapezoidal: delta/2(f(a)+2f(a+delta)+2f(a+2delta)....+f(b))

Okay, so I've got a lot of questions
But
I've posted some of them three times already on here, so I'm NOT going to retype them AGAIN. -.-

But
For Trapezoidal, is the next term 2f(a+3delta)??
And I don't understand how to graph using Trapezoidal
In fact
I don't get graphs at all
Have you noticed? =]