Math Chapter Wise question with answer

Q01 The value of / 4 0 sin(x [x])dx is equal to: ([x] denotes the greatest integer ≤ x) English · (GIC) Lecturer Exam, 2015 Q02 If [x] is the greatest integer function, then 2 0 d ∫ 2 x x is: English · UKPSC Lecturer (Mains) 2020 Q03 The value of [ ] ∫ 4 0 x dx, where[x] is greatest integer less than x, is English · UKPSC GIC 2018 Q04 If [x] stands for greatest integer function, then the value of 2 0 x dx ∫ ∫ is: English · PGT 2005 Q05 If F[x] stands for the greatest integer function, the value of 2 10 2 2 4 [ ] [ 28 196] [ ] x dx x x x − + + − + +... English · PGT 2004 Q06 The value of [ [ [ ] ] 4 e 1 log x ∫ ∫ dx is: ([x] is the greatest integer less than or equal to x) English · TGT 2004