16,823 views
Integration using the substitution method or change of variable. Many integrals have an apparently complex structure in terms of the integrand function. However, through a change of variable it is possible to obtain a new integral with a function dependent on a new variable whose integrand function is much simplified compared to the original one. Obviously, in order to perform the change of variable, the concept of an invertible function in a given interval with a continuous and non-zero first derivative comes into play. Unfortunately, it is not possible to establish rules to establish, in each case, what the suitable substitution is for a type of integral. Experience plays an important role in the success of the application of this method. In addition to some theoretical information, the video lesson presents three significant examples on how to apply the integration method by substitution. Links regarding integrals of fractional rational functions • Integrals of fractional rational functions... #salvoromeo #integrals #integralissubstitution