This matter is not correctly stated by the title or the video. Euthanasia is the active role such as administering a high dose of a lethal substance, which results in ending a life through medical procedure. This is usually done when a patient has an illness, pain, etc. This is not the same as simply removing life support. Euthanasia is recognized in fiqh as a form of homicide, which is strictly and unequivicably forbidden. The presence of an illness, pain, etc. is not a mitigating factor. Fuqaha have addressed in length the role of providing intensive medical life support care to those who would otherwise die. For example, an individual of sane mind, maturity, may volunteer to withhold life support for himself if the time comes rather than live on life support. As well, those infants with severe birth defects, adults with massive injuries, elderly who have suffered system failure, patient in advanced stages of a progress illness etc. form a particular group of cases regarding the Islamic ethics of life support care. But most of these are a case by case basis as their circumstances differ medically. So there is not a definitive consensus to continue life support for all who suffer to rely upon it. And ceasing life support is not necessarily euthanasia nor is it necessarily forbidden in Islam. And Allah knows best.