Math Chapter Wise question with answer

Q01 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 Q02 Let f(x) = x–[x], for every real number x, where [x] is the greatest integer less than or equal to x, then 1 f (x)d... English · TGT 2004 Q03 The equation x2 + y2 = 4 is solved for all integral values of x and y. These solutions are plotted on coordinate ax... English · DSE TGT 2019 Q04 The density of a r.v. X is given by: () [ ] 2 x a + bx for x 0,1 f x = 0 otherwise ∈. Find (a, b) if E (X) is 3/5. English · JSSC PGT 2018 Q05 An appropriate substitution for the integral 1/ 2 1/3 1 x dx 1 x + ∫ is- English · UPPSC GIC 2021 Q06 A function on [ ] 0,1 by f (x) (1, if x= 1 ÷ ÷ ÷ n for some n ∈ N, 0, otherwise) Find ∫ ∫ ∫f with limits 0 to 1. English · DSSSB TGT 04-09-2021 Shift-I (Male)