∫xsin(1-x) dx
2个回答

∫xsin(1-x) dx

=-∫xsin(1-x) d(1-x)

=∫x dcos(1-x)

=x*cos(1-x)-∫cos(1-x) dx

=x*cos(1-x)+∫cos(1-x) d(1-x)

=x*cos(1-x)+sin(1-x)+C (C为常量)