Ch 7 - Applications of Integration
Chapter 7 PDF Resource
calculus_chapter_7.pdf
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Lecture Notes & Videos
Worksheets
Study Guides
Interactive Animations ​
Calculus is the study of change.  The ability to change a parameter and immediately see the result can demonstrate that change and how things are related during that change.  Many of these concepts are much easier to explain if that change, the motion, can be visually demonstrated in class.  Therefore, this is a perfect place for the use of computer animations.  

All animations were created using the GeoGebra dynamic mathematics software application located on GeoGebra's website.
Please be patient! It takes awhile for these to load.  
​Widen the browser, if necessary, to see the entire animation.
Area Between Two Curves (Vertical Rectangles)
This dynamic illustration estimates the area between two curves as the limit of a Riemann sum.
Move the sliders or change the functions to approximate the area between two curves.
Area Between Two Curves (Horizontal Rectangles)
This dynamic illustration estimates the area between two curves as the limit of a Riemann sum.
Move the sliders or change the functions to approximate the area between two curves.
Disk Method