[" 12.Write each of the sell "],[" (i) "sin^(-1)(x sqrt(1-x)-sqrt(x)sqrt(1-x^(2)))]

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

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

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

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

Write the following function in the simplest form: sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))]

Write each of the following in the simplest form: (i) sin^(-1){(sqrt(1+x)+sqrt(1-x))/2},\ \ 0 < x <1 (ii) sin{2tan^(-1)(sqrt((1-x)/(1+x)))}

Write simplest form: sin^(-1)(x^(2)sqrt(1-x^(2))+x sqrt(1-x^(4)))

int(e^x[1+sqrt(1-x^2)sin^-1x])/sqrt(1-x^2)dx

int(e^x[1+sqrt(1-x^2)sin^-1x])/sqrt(1-x^2)dx

Differentiate each of the following functions with respect to x:( i) sin^(-1)(2x sqrt(1-x^(2))),-(1)/(sqrt(2))