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 A function g: [0, π÷ ÷ ÷2]→ → →R by g(x)=(cos2 x, if x∈Q Q Q 0, otherwise.) Find the upper Riemann integrals of gov... English · DSSSB TGT 04-09-2021 Shift-I (Male) 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 Find the area of the intersected curve formed by 2 2 1 y x = + = + and 1 0 x y − − = − − = − − = − − = English · PGT 2003 Q05 Integral find value of 6 5 0 sin xcos xdx π ∫ English · TGT 2013 Q06 The value of ∫ ∫ ∫cot x log (sinx) dx is English · Bihar (TRE 2.0)-2023