" 05) 10."sin sqrt(x)

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

sqrt(x) sin x+sin sqrt(x) find dy/dx

lim_(x rarr a)(sin sqrt(x)-sin sqrt(a))/(x-a)

Lim_(x to a) (sin x - sin a)/(sqrt(x)-sqrt(a))

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

solve :sin((sqrt(x))/(2))+cos((sqrt(x))/(2))=sqrt(2)sin sqrt(x)

lim _( xto a) ( sin x -sin a ) /( sqrt(x) -sqrt(a))

Evaluate int_(0)^(pi//2) (sqrt( sin x))/(sqrt(sin x)+ sqrt(cos x))dx.

Given that =(10)/(sin x+ sqrt3 cos x) the minimum positive value of y is :-