" 6"y=(sin x)^(x)+sin^(-1)sqrt(x)

" (y) "y=(sin x)^(x)+sin sqrt(x)

(dy)/(dx) if y=sin^(-1)x+sin^(-1)sqrt(1-x^(2)),x is 0 to 1

sin^(-1)[sqrt(x^(2)-x^(3))-sqrt(x-x^(3))]=..... a) sin^(-1)x+sin^(-1)sqrt(x) b) sin^(-1)x-sin^(-1)sqrt(x) c) sin^(-1)sqrt(x)-sin^(-1)x d) 2sin^(-1)x

Solve the following equation for x. sin^(-1)(6x)+sin^(-1) (6sqrt(3)x)= -(pi)/(2) .

Solve the following equations: sin^(-1)((3x)/5)+sin^(-1)((4x)/5)=sin^(-1)x sin^(-1)6x+sin^(-1)6sqrt(3)x=pi/2

Find x if sin^-1 (6x) + sin^-1 (6sqrt3x) = - pi/2

Find (dy)/(dx), if y=(sqrt(sin x))/(sin sqrt(x))

intsqrt(x/(1-x))\ dx is equal to (a) sin^(-1)sqrt(x)+C (b) sin^(-1){sqrt(x)-sqrt(x(1-x))}+C (c) sin^(-1){sqrt(x(1-x))}+C (d) sin^(-1)sqrt(x)-sqrt(x(1-x))+C

If y=x sin^(-1)x+sqrt(1-x^(2)) " then prove that " dy/dx=sin^-1x.

If y=x\ sin^(-1)x+sqrt(1-x^2) , prove that (dy)/(dx)=sin^(-1)x