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Dana-Picard, Thierry – Mathematics and Computer Education, 2005
An integral, either definite or improper, cannot always be computed by elementary methods, such as reversed usage of differentiation formulae. Graphical properties, in particular symmetries, can be useful to compute the integral, via an auxiliary computation. We present graded examples, then prove a general result. (Contains 4 figures.)
Descriptors: Mathematics, Problem Solving, Graphs, Geometry