[" 19."sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))]],[qquad [=sin^(-1)x-sin^(-1)sqrt(x)," (年) "],[," (年) "x-sin x]]

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

(d)/(dx)[sin^(-1)(x sqrt(1-x)-sqrt(x)sqrt(1-x^(2)))] is

cos^(-1)sqrt(1-x)+sin^(-1)sqrt(1-x)=

The value of sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))] is equal to

(sin^(-1)x)/(sqrt(1-x^(2))

(sin^(-1)x)/(sqrt(1-x^(2))

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

sin^(-1)x+sin^(-1)sqrt(1-x^(2))

(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x)),x in[0,1]

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