Chapter Seven: Applications of Definite Integrals
What Chapter Seven Covers:
1. Integral as Net Change: Displacement vs. Total Distance Traveled, Physics Applications Revisited
2. Areas in the Plane: Finding Bounded Areas Between Two Curves
3. Volumes: Finding Finite Volumes of Solids of Revolution
1. Integral as Net Change: Displacement vs. Total Distance Traveled, Physics Applications Revisited
2. Areas in the Plane: Finding Bounded Areas Between Two Curves
3. Volumes: Finding Finite Volumes of Solids of Revolution
Tutorials
An extensive collection of calculus topics explored in numerous vides may be found at:
http://patrickjmt.com/#calculus
Numerous tutorials on areas and volumes may be found at:
http://archives.math.utk.edu/visual.calculus/5/index.html *Note: Flash/Java Required for portions of this site
Various problems with solutions (10 per topic) on various calculus topics may be found at:
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
A team of mathematicians that solve various problems (and show their work/rationale) in pre-calculus and calculus may be found at:
http://www.mathtv.com/videos_by_topic# Note: Use menu on left to find topic of interest!
Numerous videos on various topics of calculus may be found at:
http://www.brightstorm.com/math/calculus/ Note: you'll have to put up with short advertisments that run before each video!
http://patrickjmt.com/#calculus
Numerous tutorials on areas and volumes may be found at:
http://archives.math.utk.edu/visual.calculus/5/index.html *Note: Flash/Java Required for portions of this site
Various problems with solutions (10 per topic) on various calculus topics may be found at:
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
A team of mathematicians that solve various problems (and show their work/rationale) in pre-calculus and calculus may be found at:
http://www.mathtv.com/videos_by_topic# Note: Use menu on left to find topic of interest!
Numerous videos on various topics of calculus may be found at:
http://www.brightstorm.com/math/calculus/ Note: you'll have to put up with short advertisments that run before each video!