File photo of Virat Kohli. Photograph:( AFP )
England defeated India by an innings and 159 runs on Day 4 in the second Test at Lord's cricket stadium.
Indian skipper Virat Kohli said, "I am not very proud of the way we played."
He also praised England's performance and said, "England deserved to win we deserved to lose."
Kohli also mentioned that India had to improve on a Lord's batting display where number eight Ravichandran Ashwin, primarily an off-spinner, top-scored in both their innings with 29 and 33 not out.
"It's our job and our duty to play for the country, and we should be better than that," insisted Kohli.
"Unless you accept that, you can't improve and compete. We have to accept what we did wrong and not repeat them again."
"As of yesterday (Saturday) it was not great," said Kohli, who scored 200 runs including an innings of 149, his maiden Test century in England, during India's 31-run defeat in the series-opener at Edgbaston.
During the second innings, Kohli was clearly struggling with a stiff back. The injury seeing him bat at number five rather than his usual number four position.
And he received prolonged on-field treatment before he was dismissed by Stuart Broad for 17.
But Kohli was optimistic he would be fit for the third Test in Nottingham starting Saturday.
"The back is one thing that can be very tricky...but the good thing is I have five days before the next Test," he said. "We are confident I should be ready."