# 9.2 Integration by Parts # Art Belmonte, Summer 1996 # These are the shaded gray examples which appear in Section 9.2. # In-line plots have been removed to conserve disk space. > restart; with(student): > A:=Int(x * sin(x), x); Aparts:=intparts(A, x) = value("); / | A := | x sin(x) dx | / / | Aparts := -x cos(x) - | -cos(x) dx = sin(x) - x cos(x) | / > intparts(Int(x * sin(x), x), x); value("); / | -x cos(x) - | -cos(x) dx | / sin(x) - x cos(x) >