Thanks for all the replies!
A little bit about me. I'm 35, took some calc in high school (1986) and graduated nontraditionally in 1995 with a BS in electrical engineering. I have some extra time on my hands and I'd like to clear up some things from my educational past that seemed vague to...
OK, a bit simplified, but here is an example where using a couple of different numbers can be misleading.
0 + 0 = 0
0 x 0 = 0
2 + 2 = 4
2 x 2 = 4
I have just shown per example that addition and multiplication are the same operators. I believe that we all know that addition and...
And that makes perfect sense for the Riemann sums, but since when did taking a function and increasing its exponent value by one and divide that by the value in the final exponent equate to the area under the curve (simple case). That is where there is a leap of faith for me.
With Simpson's...
Hello all, new poster here.
When learning about the definition of the definite integral, a few books that I have read through first define anitdifferentiation, then explains some Riemann sums and then
POOF
\int_{a}^{b} f(x) dx = \lim_{||\Delta||\rightarrow\0}\sum_{i=1}^n f(\xi_i) \Delta_i x...