Some Algebra of Calculus
Before Calculus you used Algebra to solve for x. Now in Calculus we use Algebra to manipulate an expression to make for easy Calculus!
SFHS students can follow this link: https://www.deltamath.com/app/assignment/15468561
Everyone can download a pdf at mathorama.com
Everyone can download a pdf at mathorama.com
More Definite Integrals and the Area Under a Curve (4.4 p 293 # 62)
Section 4.4 is chock full of gold. There is a lot there, so the video lets you take it in.
Here are the Subjects by Time:
0:00 - The MVT for integrals (Average Value Thm) & AVERAGE VALUEs
4:20 - An example with f(x) =6 and a curious observation
6:24 -The First Fundamental Theorem Proof
11:16 - An Example of FTC1
12:51 - "Net Change Theorem" version of FTC1 with a "word problem" example
15:27 -The Second Fundamental Theorem of Calculus with for examples
19:05 - The End
If you want to skip ahead:
Minute 5:45 Finding the distance between the surface of Earth and Explorer 18 when the angle is 60 degrees
Minute 12:53 Proof that e = c/a = 2c/2a=(distance between focii/major axis)
Some Algebra of Calculus Before Calculus you used Algebra to solve for x. Now in Calculus we use Algebra to manipulate an expression to m...