The range of `f(x)=sec^(-1)((log)_3tanx+(log)_(tanx)3)` is `[pi/3,pi/2]uu[pi/2,(2pi)/3]` `[0,pi/2]` (c) `((2pi)/3,pi)` (d) none of these

The range of f(x)=sin^(-1)(sqrt(x^(2)+x+1)) is (0,(pi)/(2))(b)(0,(pi)/(3))(c)((pi)/(3),(pi)/(2)) (d) [(pi)/(6),(pi)/(3)]

The value of int_(0)^(pi//2)(tanx log(tanx))/(sec^(2)x)dx is

Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a) ((pi)/(4),(3 pi)/(4))( b) [(pi)/(4),(3 pi)/(4)]( c) {(pi)/(4),(3 pi)/(4)}(d) none of these

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) 0 (3 pi)/(4) pi) (0 (3 pi)/(4)

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) (1) (1) (3 pi)/(4) pi) (0 (3 pi)/(4) 0 (0 pi)

The range of f(x)=sin^(-1)((x^(2)+1)/(x^(2)+2)) is [0,(pi)/(2)] (b) (0,(pi)/(6))( c) [(pi)/(6),(pi)/(2)](d) none of these

The range of function f(x)=cot^(-1)x+sec^(-1)x+ cosec^(-1)x is (A) [(pi)/(2), pi)uu(pi, (3 pi)/(2)] (B) ((pi)/(2), (3 pi)/(4)] uu [(5 pi)/(4), (3 pi)/(2)) (C) ((pi)/(2), pi)uu(pi ,(3 pi)/(2)) (D) ((pi)/(2), (3 pi)/(2))

Range of function f(x)=arccot(2x-x^(2)) is [(pi)/(4),(3 pi)/(3)](b)[0,(pi)/(4)][0,(pi)/(2)] (d) [(pi)/(4),pi]

The range of the function tan^(-1)((x^(2)+1)/(x^(2)+sqrt(3))),x in R is [(pi)/(6),(pi)/(2)) b.[(pi)/(6),(pi)/(3)) c.[(pi)/(6),(pi)/(4)] d.none of these

int_-pi^(3pi) cot^-1(cotx)dx= (A) pi^2 (B) 2pi^2 (C) 3pi^2 (D) none of these