The range of the function `f(x)=int_(-1)^1(sinxdt)/((1-2tcosx+t^2)i s` (a)`[-pi/2,pi/2]` (b) `[0,pi]` (c)`{0,pi}` (d) `{-pi/2,pi/2}`

The range of the function f(x)=int_(-1)^(1)(sin xdt)/((1-2t cos x+t^(2))is) (a) [-(pi)/(2),(pi)/(2)]( b) [0,pi](c){0,pi}(d){-(pi)/(2),(pi)/(2)}

Range of function f(x)=cot^(-1)(2x-x^2), is (a) [pi/4,(3pi)/2] (b) [0,pi/4] [0,pi/2] (d) [pi/4,pi]

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

Range of the function f(x)=(cos^(-1)abs(1-x^(2))) is a. [0,pi/2] " " b. [0,pi/3] c. (o,pi) " " d. (pi/2,pi)

[" The range of the function "f(x)=sin^(-1)((sqrt(1+x^(4)))/(1+5x^(10)))" is "],[[[-(pi)/(2)*(pi)/(2)]],[0[(pi)/(3)*(pi)/(2))],[0(0,(pi)/(2)]]]

The range of the function f(x) = cot^(-1)log_(0.5) (x^4 -2x^(2) +3) is a) (0,pi) b) (0,3pi//4) c) [3pi//4,pi) d) [pi//2, 3pi//4]

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

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