E[g(X)] = integral g(x) f_X(x) dx — IITM BS previous year questions

E[g(X)] = integral g(x) f_X(x) dx is part of Expectations for Continuous Random Variables, Week 4 in Statistics 2. Prasnya files every IIT Madras BS previous year question from this subtopic here, each one with a worked explanation. Take the whole set as a timed mock and you get accuracy, pacing and per-question analysis back.