Computing the Volume of a Solid of Revolution using the TiNspire CX CAS can easily be done – step by step – using the Calculus Made Easy at www.TinspireApps.com .
Here is how.
Let’s start with the Disk Method. We just select that option in the menu:
Then this pops up :
Now, enter the given function in the top box and the given interval below. Automatically, the answer will show in the bottom with correct integral setup and the correct answer.
Similarly, when using the Washer Method for two functions we have:
Finally, the Shell method works the same way :
In conclusion, the just like all other Calculus topics finding the Volume of Solids of Revolution using the Disk , Washer and Shell Methods can be done easily using Calculus Made Easy at www.TiNspireApps.com .
After selecting the Washer Method about x-axis just enter the upper U and lower function L
(dont worry in case you swap them : the answer will be correct except it will have a minus sign with it. )
and the interval bounds a and b as shown in belows image:
You can see the general washer method formula and how it is applied to you specific problem.
Additionally, you will see the antiderivative (if it is exists), the exact and finally the correct decimal answer.
Finding the volume of solids of rotation and with known cross sections are just a few integral applications included in the Calculus Made Easy app of your TiNspire. Other included applications are surface area of solids, curve lengths, center of math, improper integrals, etc
Best of all Calculus Made Easy can be used for 3 courses of Calculus: Calculus I, II and III, the latter being a typical Multivariable Calculus course which involves partial derivatives and multiple integrals.