Rashid nearly took Titans home in pursuit of 225 but Mukesh held his nerve to defend 19 off the last over
Lucknow Super Giants beat the Chennai Super Kings for the second time in the space of five days.
Royals signed off from the Jaipur leg of their campaign with a seventh win in eight matches to cement their table-topping status.
Gujarat Titans all-round performance guide them to 3-wicket victory over Punjab Kings.
Ashutosh blinder not enough as Kings fall short in IPL classic.
Titans were bundled out for 89 following which Capitals finished the chase in 53 balls