I remembered that with other coach, they lifted the PL trophy and then there were with a lit bit weak players, but that is other question. I can agree with you that it was inexplicable that Leicester did not put the pressure and to give everything in the attack to win the game and secure top 4 finish. I had a feeling during the match that they were good with that they will play in Europe and did not matter in which tournament they will play, which is a lit bit strange during the fact that from the beginning you were from top 4 until the last two game weeks and to get out of it with that kind of losses against Tottenham and United. I don't know for you , but I felt it like this that Leicester were pleased with their 5th place and did not want to make it to CL.
If I can make a prediction now, I think next season they will finish below 5th place. Arsenal and Tottenham will be hungry to struggle for the CL spot next season, but let's see what will happen.