Integrals trainer vs ODE

Ever had an integral to solve and been wondering what is the best technique to use? Ever worked on a integral for long minutes, just to figure out you initially chose the wrong path? With this application, you can now concentrate on that critical first step: deciding what method to use! Look at an integral, choose what you would do, try again until you get it right, then go straight to the next integral! If need be, you can stop to look at a partial (sometimes complete) solution highlighting the first few steps of the resolution. You will soon know, at a glance, what method to use to solve any reasonable integral! By becoming an expert at this critical first step, you'll save time and get better grades! The methods covered in this application are: - Basic integrals, for the ones so simple that you can just give the answer right away. - Separating integrals, when the integral becomes easier by solving many smaller ones. - Substitution, when you let u=something to make the integral simpler. - Partial fractions, when you rewrite your equation as a sum of smaller ones. - Trigonometric identities, when you can use identities to simplify your integral. - Triangle, when nothing simpler works and you willingly insert some trigonometry into your integral by use of a triangle. - By parts, when you have two different families of functions in your integral.

The ODESolverIntegrator is a simple but elegant app to find the integral of ODEs. You can solve (find the integral of) nonlinear ODEs. You can reduce the higher order ODE to a set of first order ODEs. You can solve (find the integral of) linear ODEs in the form of ẋ = Ax + Bu; y = Cx + Du. This app uses Runge-Kutta 4th order algorithm to solve the ODEs. Once the ODEs are solved, a beautiful interactive graph for each ODE's is created that you can share with other or save it locally. The reduced ODE's equations are presented beautifully in the math-equation format. You can compute definite integral (single, double, tripple). It uses the midpoint method. It automatically saves your hard work locally on your device so you can come back and pick up from where you left off as your great effort will not be lost. This app also has a Study page to help you learn important integration rules like, power rule, product rule, ect. This app is perfect for students learning calculus. Sharpen you brain by using this app and learning about the calculus. This is an app for all student groups. From high school to college to university students. Be creative. Enjoy the app!