India fell to 245 all out in the second innings and handed England a record victory target of 378.
Elaborating on the mistakes, Dravid said: "Yesterday (on the fourth day) we didn't bat well. Our bowling thereafter lacked intensity. We have to also give England credit."
Several Indian fans took to Twitter to report the racist behaviour they had to suffer from other fans during the fourth day's play on Monday night.
At stumps, India are 125/3 in 45 overs, with Pujara stitching an unbeaten stand of 50 with Rishabh Pant (30 not out).
Bairstow continued from where he left off in lunch, clipping Thakur in the gap between deep mid-wicket and deep mid-on for a boundary.
After an interruption of an hour and 45 minutes, with a loss of 26 overs, Root drove Bumrah through mid-off before Pope cut Shami through backward point.
Brief scores: India 416 in 84.5 overs (Rishabh Pant 146, Ravindra Jadeja 104; James Anderson 5/60, Matthew Potts 2/105) against England.
At tea, India are 174/5 in 44 overs, with Pant (53 not out) and Jadeja (32 not out) at the crease for an unbroken 76-run stand for the sixth wicket after the visitors were reduced to 98/5.
England got very little movement as they found only 0.61 degrees of average swing in the first ten overs.
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