Math Chapter Wise question with answer

Q01 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) Q02 1 ∞ →∞ ∫ -x u dx lim 1+ e equals: English · UP PCS (Pre) 1999 Q03 5n n r 1 1 lim n r →∞ →∞ = + + ∑ ∑ is equal to- English · UP PCS (Pre) 2004 Q04 Integrate (((()))) f(x) 2x / 1 x2 2 = + = + with lower and upper limits as 0 and 1 respectively. The value is English · Jharkhand TGT 2017 Q05 ∫ 5 2 x I = dx x +1 equals: English · EMRS PGT-2023 Q06 The area of the region bounded by the parabola 2 y = 2x - x and the line y = x (in sq. units) is: English · EMRS PGT-2023