Integration: Chapters 21 and 22


More From Chapter 21
1. Use your calculator to find areas under curves!
2. Wolfram alpha computational search engine. Simply type in your mathematical question and watch the website do the work for you. I highly encourage you to use this as a RESOURCE. You must try the problem FIRST, but if you get stuck, this website can help.
Watch this tutorial to see what else wolfram alpha can do!
3. You will NOT be responsible for finding a PROOF of the Fundamental Theorem of Calculus (FTC). The book does provide one at the beginning of chapter 21B. Click here to find solutions to the investigation (21B) which leads us to the FTC.
21C on Integration (Antidifferentiation)
21C WARMUP: Open on you Ipads in notability if you wish to sketch out the solutions on your device.
1. Check out these khan Academy videos on Integration (finding the antiderivative)
Video 1 Indefinite Integration
Video 2 Indefinite Integration
Video 3 Definite Integration, finding areas under curves using the Fundamental Theorem of Calculus
Video 4 Watch this video to see an example of what we will be doing after the winter break.
Also see above on how to use your calculator to aid you in finding the area under a curve. The computational search engine "Worlfram Alpha" can also aid you in finding antiderivatives and areas under curves if you get stuck! But please remember to TRY the problem FIRST and use Wolfram SECOND!
1. Check out these khan Academy videos on Integration (finding the antiderivative)
Video 1 Indefinite Integration
Video 2 Indefinite Integration
Video 3 Definite Integration, finding areas under curves using the Fundamental Theorem of Calculus
Video 4 Watch this video to see an example of what we will be doing after the winter break.
Also see above on how to use your calculator to aid you in finding the area under a curve. The computational search engine "Worlfram Alpha" can also aid you in finding antiderivatives and areas under curves if you get stuck! But please remember to TRY the problem FIRST and use Wolfram SECOND!
Ch.21 Continued:
HW SOLUTIONS CH. 21
worked solutions for all of ch. 21 on integration
CH. 22 Applications of integration
1. AUTOGRAPH WORK SHEET "Solids of Revolution." OPEN IN NOTABILITY SO THAT YOU MAY WRITE ON THE DOCUMENT WITH YOUR IPAD!!!
2. AUTOGRAPH file for laptop
For some extra help, watch THESE VIDEOS on "Solids of Revolution" part 1,2,3,4,5,6,7, and 8. You will have to scroll down the page, and you should see the videos listed in the left hand column.
2. AUTOGRAPH file for laptop
For some extra help, watch THESE VIDEOS on "Solids of Revolution" part 1,2,3,4,5,6,7, and 8. You will have to scroll down the page, and you should see the videos listed in the left hand column.
HW SOLUTIONS CH. 22
complete worked solutions to chapter 22
CH.21 and 22A/D Review and Takehome SSA
REVIEW DOCUMENT
22D Review
NonCalculator Style questions
Calculator Style questions
This will be Due Wednesday, December 5th
22D Review
NonCalculator Style questions
Calculator Style questions
This will be Due Wednesday, December 5th