Riemann Sums to Definite Integrals

6-3 Riemann Sums, Summation Notation, and Definite Integrals

Oh my!

Just a Warning:

These are longer videos because they are normally what I would split into two days, however due to time (AP Exam is May 4th) I have combined them so one is during "class time" and one would be "homework".

Multiple Choice

Summation means that we are going to ...

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

Evaluate.

• 20

• 28

• 18

• 21

Multiple Choice

This summation is the same as which series?

• 1 + 2 + 3 + 4 + 5 + 6
• (1 - 2) + (2 - 2) + (3 - 2) + (4 - 2) + (5 - 2) + (6 - 2)
• (1 - 2) + (6 - 2)
• (1 - 2) + (2 - 2) + (3 - 2) + (4 - 2)

Multiple Choice

Using the areas of each region given
$$\int_a^cf\left(x\right)=$$  

• 20

• -7

• -10

• -4

Multiple Choice

Using the areas of each region given
$$\int_b^df\left(x\right)=$$  

• 2

• 22

• -2

• 3

Multiple Choice

Using the areas of each region given
$$\int_a^cf\left(x\right)=$$  

• 20

• -7

• -10

• -4