Integrals trainer vs Calculus

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.

Study Calculus from A to Z in 10 chapters, all in one app! Then play the in-app Calculus Quiz game to perfect your skills. One Level builds the necessary knowledge for the next Level as you advance. - Suitable for BEGINNERS: Teach yourself Calculus from Zero to the level of a Pro using the HINTS provided. - Adequate for the PROs: Revise and consolidate your Calculus knowledge while facing off with real Pure Math challenges. - Enjoy crisp clear Math text that adjusts its Font size and adapts to both Light and Dark Mode. Featured topics: - Differentiation 1: Curve gradient, Tangents and Normals, Velocity and Acceleration - Differentiation 2: Maxima and Minima, Curve sketching, Second derivative, Small changes - Integration: Reverse differentiation, Area under a curve, Definite integrals, Solids of Revolution, Centres of gravity - Further differentiation: Chain rule, Products and Quotients, Implicit functions, Parameters, Second derivatives - Trigonometry: Radian measure, Trigonometry derivatives, Inverse trigonometry, General solutions - Further Integration 1: Function and derivative, Change of variable, Parameters, Inverse trigonometry - Exponential and Log functions: The exponential function, Deriving y = e^x, The natural logarithm, Logarithmic differentiation - Partial fractions: Linear factors, Quadratic factors, Repeated roots, Improper fractions - Further Integration 2: Integration by parts, Taking dv/dx as 1, Variable t = tan(x/2), Splitting the numerator - Differential equations: Separating variables, Integrating factor, Homogenous equations, Differential problems