In the folder libs/numeric/quadrature/example you can find all the examples used in quadrature documentation. Here is a list of them:

[[adaptive_kernel.cpp ] [specifying integration kernel]] [[adaptive_accuracy.cpp ] [specifying requested accuracy]] [[kernel_error_estimation.cpp ] [specifying errror estimation algorithm]] [[kernel_recorder.cpp ] [specifying recorder for function evaluations]] [[kernel_kernel_data.cpp ] [specifying kernel data storage]] [[adaptive_max_intervals.cpp ] [specifying maximum number of sub-intervals to be used]] [[adaptive_intervals.cpp ] [specifying storage for sub-intervals]] [[adaptive_recorder.cpp ] [specifying recorder for function evaluations]] [[adaptive_info.cpp ] [specifying collection of information on algorithm performance]] [[adaptive_wynn.cpp ] [specifying acceleration using series limit prediction]]