What is to be done to perform prayer in a state of frequent urination, and repeated standing and sitting for urination?

If frequent urination is due to obsessive thoughts (waswas), then these thoughts must be dismissed and ignored. When relieving yourself, clean with water until the impurity is removed, then get up and pay no attention to any obsessive thoughts about something coming out. If there is a medical condition, consult doctors. As for prayer, wait until the discharge of urine stops, then perform ablution (wudu) and pray, as long as it ceases for a time sufficient for purification and prayer before the prayer time expires.