if `6sin_1(x^2-6x+12)=2pi`, then the value of `x`, is

if 6sin_(1)(x^(2)-6x+12)=2 pi, then the value of x, is

if 6sin^(-1)(x^(2)-6x+8.5)=pi then

If 6 sin^(-1)(x^(2)-6x+17/2)=pi then

Let x_1 and x_2 be solutions of the equation "sin"^(-1)(x^2-3x+5/2)=pi/6 . Then, the value of x_1^2+x_2^2 is

If int _(0)^(pi//2) sin^(6) dx = (5pi)/32 , then the value of int _(-pi)^(pi) (sin ^(6) x + cos^(6)x)dx is

If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4 pi+sin^(-1)sin14)=(pi)/(2), then the value of sin^(-1)sin2x is (a)6-2 pi( b) 2 pi-6( c) pi-3 (d) 3-pi

If the function f(x) = {(1+(sin)(pi x)/2,",","for"-oo lt x le 1),(ax+b, ",","for" 1 lt x lt 3),(6(tan)(pi x)/12,",","for"3 le x lt 6):} is continuous in the interval (-oo, 6) , then the value of a and b are respectively

If "sin"^(-1)(5)/(x) +"sin"^(-1)(12)/(x)=(pi)/(2) , then what is the value of x?