Math Chapter Wise question with answer

Q01 Let 2 0 1 2 () a a a, φ = + + x x x then 1 0 ()d φ = ∫ x x English · UKPSC Lecturer (Mains) 2020 Q02 Let 2 x: x 0 f(x) x: x 0 < = ≥ Area bounded by the curve y=f(x), y=0 and 2 2 x 9a = is 9a 2, then a=? English · PGT 2002 Q03 Let / 6 2 2 0 I sin ucos udu, π = ∫ ∫ ∫ then: English · UP PCS (Pre) 1997 Q04 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 Q05 If ∫ dx 1 x = k log 1+ tan 1+ 2 sinx + cosx k 2 then the value of k is: English · EMRS PGT-2023 Q06 If I(n) π/4 n 0 tan d = ∫ x x. Then I(n) + I(n - 2) = English · UP PCS (Pre) 2000 UKPSC Lecturer (Mains) 2020