Integral Calculus
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Introduction to Integration
Green Dots indicate items that must be handed in.
Lessons:
Due: May 6th
Before we try to add up some rectangles let's learn about the mathematics of adding a series (Summation)
Read the notes and Try the problems
Hand in a picture or screen shot of
your quiz completed (must get 3/4)
Assignments:
Due: May 11th
Please go through ALL the lessons in the left column before attempting this assignment.
Very important Examples
Other Resources:
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Integration
Lessons:
Due: May 12th

Read Walzl Examples.

Complete the examples that have not been solved.

Answers at end of examples.
Assignments:
Due: May 13th
Think you got the hang of it?
Try the Self TEST (ONLY #722)
Solutions Provided at end of TEST
Workbook problems:
page 254 #17, 1013, 14, 17
Page 256 #1,4,6
Page 257 #1, 4
The Fundamental Theorem of Calculus (Calculating Area)
Workbook problems:
page 293#17
Workbook problems:
page 302 #18 (They are looking
for GROSS area)
Other Resources:
Finding The Area Between TWO Curves:
Lessons:
Due: May 21st
More Finding Area!...This time the finding the area bound between 2 curves.
Before we start, let's remind ourselves why we are so interested in finding area?
Because it's actually a super practical thing! Click on the application below to remind yourself of how awesome area is.
Assignments:
Assignments:
Workbook problems:
page 322:
# 14
page 324:
[EX2] #1
For the next batch of problems only do:
#1 a,b,c
#2 a,b
You can (and should) use your graphing calculator or an online graphing utility to graph the functions and bounded area before you begin
Other Resources:
Integration With Respect to y
Workbook problems:
page 327 (good notes)
page 328:
#1,2,5,6
Other Resources:
More Advanced integration techniques: Integration by parts.
Lessons:
Due: May 26th
So far our ability to integrate functions
is very limited. we can integrate simple polynomials, trig functions, and not much else.
Here we will take a look at a techique to integrate functions that are multiplied together like:
Assignments:
Due: May 26th
Please do the following questions on the worksheet below:
Sample Problems 14,10
Practice Problems 1,2,7,9,10,12,14
Workbook problems:
page 273: #19
Use the integral table to assist you
(In the other resources section)
Print off and use this Integral Table.
Handy to have when you're working
on stuff.
Integration by USubstitution
Lessons:
Due: May 29th
Excellent Videos.
Now try the examples below without looking at the solutions first.
Assignments:
Due: May 29th
Important!

only do 13 of ByParts section

only do 112, 1522 of USub section

the rest are bonus
Workbook problems:
page 266:
#19,11,12
Bonus: 13,14
Other Resources:
Volume  Disk Method
Assignments:
Due: June 2nd
Workbook problems:
page 331:
#16
Workbook problems:
page 333
#14
Other Resources:
Volume  Washer Method
Workbook
Read page 337 (excellent presentation of this method)
Problems:
page 338 #15
page 339 Examplegreat!
page 240 #13
Other Resources:
Differential Equations  The last section of new material! Yeah!
Assignments:
Due: June 8th
Workbook
Page 354 #15, 7
Other Resources:
Differential Equations  Applications
Assignments:
Due: June 8th
Workbook
Page 359 #14
That's it! we're done almost done
the course!
Look for a"SelfExam" posted
June 8th
Other Resources:
Calculus 12 Course  Self Exam
Lessons:
Avoid the following on the Limits Exam: #17,34,42, and second#11
Other Resources: