Auxiliary function method in solving some integration problems using average value theorem

The author has analyzed and evaluated the solution method, through the collection, selection and classification of a number of typical problems, with the aim of perfecting the selection of subfunctions in the integral problem for students, helping students study better with certain themes, research and achieve good results in Student Math Olympiads, especially for Tan Trao’s students.
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Auxiliary function method in solving some integration problems using average value theorem