Math Chapter Wise question with answer

Q01 If ∫ dx 1 x = k log 1+ tan 1+ 2 sinx + cosx k 2 then the value of k is: English · EMRS PGT-2023 Q02 If π / 2 sin d sin 2, θ = θ ∫ x x then the value of θ satisfying 0 π < θ < is: English · UKPSC Lecturer (Mains) 2020 Q03 If f '(x) =2x∀ ∀ ∀x and f (0)=0 then the value of f(2) will be English · PGT 2010 Q04 If a function f(x) is defined in internal (0,2) as follows:– 2 f(x) x x, when x is rational. 2 3 x x, = + = + when... English · (GIC) ØeJeòeâe hejer#ee, 2015 Q05 If x =t, y= loge(cost), t 0,, 4 π ∈ then the value of 2 2 4 0 dx dy dt dt dt π + ∫ ∫ is English · LT 2018 Q06 If 2 2 2 2 2 2 2 0 x dx (x a)(x b)(x c) ∞ = + + + + + + + + + + + + ∫ 2(a b)(b c)(c a) π + + + + + + + + + + + + th... English · JDD-75-PGT TIER II-X-15 28.06.2015