‚Ė∑Riemann Sums – Step by Step – with the TiNSpire CX CAS: Calculus Made Easy

Say you need to compute Riemann Sums at selected points over a given interval. And you do have your trusty TiNspire CX on you. Then start Calculus Made Easy , go to option 1 J in the menu and enter

  1. the given function
  2. the given interval
  3. the selected x-values c1, c2, ..

as shown in image

 

Then each Riemann rectangle is computed step by step as shown below :

Lastly, view the final Riemann Sum and compare it to the exact definite integral. Pretty close ūüėČ

‚Ė∑Integration by Parts – Step by Step – using the Tinspire CX : Calculus Made Easy

Integration by Parts with steps is easily done using Calculus Made Easy (download : www.tinspireapps.com ) under the Integration tab.

Enter your function as f(x) and your choices of u and v’ below.

See example in image:

Answer appears automatically with steps involved.

Steps for Integration and Differentiation and all other Calculus topics are included in the Calculus Made Easy app.

TiNspire Integration via U-Substitution Solver – Step by Step – using Calculus Made Easy

Here are great news: Now Calculus Made Easy for the TiNspire CX CAS  offers you two different ways to

perform Integration using U-Substitution.

The first way is the fully automated: Just plug in your given function as seen below and steps and answer are displayed.

 

The second way requires your input on the choice of u. You may wonder what is

point if the fully automated version can do this already?  It is called LEARNING:

U Substitutions are not unique: Different choices of U may lead to the same solution.

Check out below’s example:

 

Check out another choice of U, it leads to the same solution.

Our Made Easy APPS aim at empowering students and this feature allows you guys to
learn about U-Substitution in a way you likely will not in your classroom. So enjoy this feature.

As usual, updates are free forever.

Schrittweise Analysis mit dem TiNspire CX CAS

Mit der neuen Analysis Leicht Gemacht App bei www.TiNspireApps.de kann man nun Schritt fuer Schritt:

-Kurvendiskussion

-Stammfunktionen und Integrale

-Ableitungen

-Extremwerte

-DifferentialGleichungen loesen

-Grenzwerte finden

-Lhopital Regel

-Laplace Transformation

-Mehrfach Integrale

-Partielle Ableitungen

-Anwendungen

-Nullstellen (Newton)

-Reihen Konvergenz, Taylor Reihen, Folgen

-Potenzreihen

-Implizite Differentiation

-Vektoren

und vieles mehr!

Alles kann man spielerisch lernen und die Schritte fuer alle Loesungen anzeigen, sher handlich und immer dabei.

Super einfach zu benutzen und zu installieren.