Here's where you can do it:
JURONG WEST SPORTS RECREATION CENTRE
JURONG EAST SPORTS RECREATION CENTRE
Activities: Jogging [Free], Badminton [NonPeak: $3.5o/hr, Peak: $7.40], Swimming [Weekday: $1.50, Weekend: $2], Gym [$1.50]
REVIVE! REVIVE! REVIVE!