Captain takes three wickets and scores vital 34 as Titans make light work of Royals scores only 130.
Harshal and Hazlewood ace it at the death even as well-set Rahul fails to find fluency chasing 208.
Once again Jos Buttler 89 off 56 in vain but Royals will have a second shot at the title in Qualifier 2.
Sunrisers did well to recover from 99 for 6, but their total of 157 was not nearly enough.
RCB sneak into playoffs after Tim David, Jasprit Bumrah knock Delhi Capitals out.
Rajasthan Royals will face Gujarat Titans in the first Qualifier at the Eden Gardens in Kolkata on May 24.
A blistering 18-ball 40 from Glenn Maxwell finished the job as RCB sealed an impressive win.
Super Giants move into knockouts after Rinku and Narine sixer storm ends agonisingly short of victory.
Sunrisers restricted to 190/7 despite 95-run, beat by 3 runs to keep campaign alive.
Kuldeep, Axar share four wickets; Punjab Kings need a miracle to make the playoffs.
