[" ILLUsTRATIDN "3,20],[" If "y=sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))]" and "0

underset0 If y=cos^(-1){x sqrt(1-x)+sqrt(x)sqrt(1-x^(2))} and

If y=sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))) and 0

Find (dy)/(dx), if y=sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))]

int_(0)^(1)sin^(-1)(x sqrt(1-x)-sqrt(x)sqrt(1-x^(2)))dx

y = sin^(-1)(x/sqrt(1+x^2)) + cos^(-1)(1/sqrt(1+x^2))

If y = "sin"^(-1)[xsqrt(1 - x) - sqrt(x) sqrt(1 - x^2)] and 0 lt x lt 1 then (dy)/(dx) at x = (sqrt3)/2 is

If y=sin^(-1)(x sqrt(1-x)+sqrt(x)sqrt(1-x^(2))) and (dy)/(dx)=(1)/(2sqrt(x(1-x)))+p, then p,

If y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2)) and (dy)/(dx)=1/(2sqrt(x(1-x)))+p , then p is equal to 0 (b) 1/(sqrt(1-x)) sin^(-1)sqrt(x) (d) 1/(sqrt(1-x^2))

y=sin^(-1)((x)/(sqrt(1+x^(2))))+cos^(-1)((1)/(sqrt(1+x^(2))))