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 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)]

Find the range of f(x) = (sin^(-1) x)^(2) + 2pi cos^(-1) x + pi^(2)

The range of f(x)=cos^(-1)((1+x^(2))/(2x))+sqrt(2-x^(2)) is {0,1+(pi)/(2)}( b) {0,1+pi){1,1+(pi)/(2)}(d){1,1+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

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)

sin^(-1)((-1)/2) (a) pi/3 (b) -pi/3 (c) pi/6 (d) -pi/6

int_0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) pi//2 (d) pi//4

sqrt(3)int_0^pi dx/(1+2sin^2x)= (A) -pi (B) 0 (C) pi (D) none of these

int_(0)^(oo)(xdx)/((1+x)(1+x^(2))) is equal to (A)(pi)/(4) (B) (pi)/(2)(C)pi(D) none of thesel

Range of function f(x)=|6sin^(-1)x-pi|+|6cos^(-1)x-pi| is ( a )[0,9 pi](b)[0,3 pi](c)[pi,3 pi](d)[pi,9 pi]