Math Chapter Wise question with answer

Q01 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 Q02 An appropriate substitution for the integral 1/ 2 1/3 1 x dx 1 x + ∫ is- English · UPPSC GIC 2021 Q03 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) Q04 If () () () () ≤ ∫ b a d f x = g x,for a x b,then f x g x dx = dx a English · Haryana PGT 2018 Q05 For 0 ≤ x ≤ π, the area bounded by y = x and y=x + sin x, is English · TGT 2003 Q06 If [x] stands for greatest integer function, then the value of 2 0 x dx ∫ ∫ is: English · PGT 2005