Computing P(a <= X <= b) by integrating f_X(x) over the interval — IITM BS previous year questions

Computing P(a <= X <= b) by integrating f_X(x) over the interval is part of Density Functions, 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.