Tag Archives: Integrals

Numerical Integration Please!

If you read my introduction, you probably already knew which lab I would pick. This lab is talking about Integration. It explains different way we can integrate, such as: Riemann Sum (Rectangle), Trapezoid Sum (Trapezoid, and Simpson’s Rule (parabola (dotted)). Integrations help us to calculate the approximate area underneath a given curve.
A question that will come up while working on this lab may be about comparing the few integration techniques listed previously. We will also be working with the difference of left hand, right hand and midpoint integration.
The reason I would like to work on this lab is because I have taken two and half calculus classes working with integrals and I would like to see if this opens my mind more to what exactly we are doing when we integrate.

Samantha Intro For Funsies

I am Samantha (obviously). I am only three and a half semesters away from graduating with my Math Ed degree. Many of my current classes are not “new” to me. We are working on more of the teaching aspect. However, I am in Calc 3, that stuff is new. I love Calculus. I would rather not teach it, but I love working out the problems. Currently we are working with Integrals again. Integrals would be in my list of “Favorite Math Topics”. If you would like to know all about integrals, Wikipedia knows it!….: http://en.wikipedia.org/wiki/Integral
This is what they look like:
$\int_a^bf(x)dx$
In Calc three we are working with multi-variables, so they look like this:
$\int_a^b\int_c^dF(x)dxdy$

Fun, right?!