Given `f(x)=-x^2/3 +x^2 sin 1.5 a-x sin a*sin 2a - 5 arc sin (a^2 – 8a +17)` then :

If f(x)=-(x^(3))/(3)+x^(2)sin1.5a-xsina.sin2a-5sin^(-1)(a^(2)-8a+17) ,then

If f(x)=-(x^(3))/(3)+x^(2)sina.sin2a-5sin^(-1)(a^(2)-8a+17) ,then

If f(x)=-(x^(3))/(3)+x^(2)sina.sin2a-5sin^(-1)(a^(2)-8a+17) ,then

If f(x) = (sin^2x + 4sinx + 5)/(2 sin ^2x + 8 sin x + 8) , then range of f(x) is

If f(x) = |(sin x + sin 2x + sin 3x, sin 2x , sin 3x),(3 + 4 sin x, 3, 4 sin x),(1 + sin x, sin x, 1)| then the value of int_0^(-pi//2) f(x) dx equals :

Range of f(x) = (sin^2x + sin x -1)/(sin^2x - sin x + 2)

If sin ^(2) x + (1)/(4) sin^(2) 3x = sin x sin^(2) 3 x then x =