Q1)

5 Find the most general antiderivative of the function 24 - 1 None of these O 2 2 H c2 - 1 In + C 4 4 2 + 1 O x - 1 In + C 4 x2 +1 O x2 - 1 + AH In + C 2 x2+1 O ac2 - 1 N H In + C x2 +11 Find that antiderivative of the function whose value at t = U is 2. t2 + 2s + 2 1 t t '1 2 2 an ( 2 ) + -::"'::- t t2+2ln|1+t| + 5 +2 it} tan1(t + 1) + 2 g ':::' tan1(t _ 1) _|_ g + 2 None of these A continuous function f has an antiderivative I such that ran 2 1, U' F(1) = 2 and F(2) = 1. Evaluate the definite integral / f(t) (it. 2 None at these 2 dx Evaluate the integral (ac + 1) (2 + 3) None of these In + C x + 3 O2lna +1 -2In*+3 +C O2In +1 +31na +3 + C Arctan(x/2) + CLet F (a ) be an antiderivative of 12ac In 3xc. Evaluate F(1) - F(0). ONone of these O6 In 3 O (6 In 3) - 3 O -2+ 6In3 O -6 In 3