Which of the following did Austria-Hungary demand of Serbia in its ultimatum? an end to all anti-Austrian agitation and punishment of any guilty official, a formal apology by Serbian leaders and a promise to end investigations to sever all alliances with Germany and Russia and immediately immediate surrender and integration back into the empire.

Austria-Hungary's ultimatum to Serbia, delivered on July 23, 1914, in the aftermath of the assassination of Archduke Franz Ferdinand, included several demands, notably the end to all anti-Austrian agitation and the punishment of any officials involved in the conspiracy against the Archduke. The first point you mentioned is indeed one of the central demands. The ultimatum did not call for a formal apology by Serbian leaders per se, but it demanded a response to the accusations and compliance with its terms. It also did not explicitly demand an investigation to sever all alliances with Germany and Russia (as Serbia and Austria-Hungary were in different alliances), and it did not demand immediate surrender and integration into the Austro-Hungarian Empire. The demands were designed to be so harsh that Serbia would likely be unable to comply, potentially providing Austria-Hungary with a pretext for war.

The key demands included:

1. Suppression of all publications that incite hatred and contempt for the Austro-Hungarian Monarchy and General Staff of the army. 2. Dissolution of Serbian nationalist organizations that promoted anti-Austrian sentiments. 3. Elimination of anti-Austrian propaganda in education and the removal of teachers and officials guilty of such propaganda. 4. The arrest of two specific individuals implicated in the assassination plot. 5. A judicial inquiry into the assassination with Austrian participation in the investigation within Serbia. 6. The prevention of the illicit traffic of arms and explosives across the border. 7. The immediate suppression of any Serbian military and paramilitary groups that posed a threat to Austria-Hungary.

Serbia agreed to most, but not all, of the terms, and Austria-Hungary used this as an excuse to declare war on July 28, 1914, which ultimately led to the wider conflict known as World War I.