Is there no investigation in the 2nd, 3rd & 4th jhana?

I read the following on the internet: > Any topic for satipatthana "mindfulness", can be a topic for samādhi > nimitta, or a subject for jhāna meditation to investigate with > dhamma-vicaya, vitakka and vicāra, upekkha, sati and sampajāno in the > higher jhānas. 1. Does mindfulness investigate? 2. Does sampajāno investigate? 2. Does vitaka & vicara perform the function of dhamma-vicaya (investigation) in jhana? 3. If vitaka & vicara cease in the 2nd jhana, is there no dhamma-vicaya in the 2nd, 3rd & 4th jhanas?