sin^(-1)[sqrt(x^(2)-x^(3))-sqrt(x-x^(3))]=

If x in[-1/2,1] then sin^(-1)(sqrt(3)/(2)x-1/2sqrt(1-x^(2)))

If x in[-1/2,1] then sin^(-1)(sqrt(3)/(2)x-1/2sqrt(1-x^(2)))

If int(2x-sqrt(sin^(-1)x))/(sqrt(1-x^(2)))dx=C-2sqrt(1-x^(2))-(2)/(3)sqrt(f(x)) then f(x) is equal to

If y=x^(sin^(-1x)) + x^3(sqrt(x^2+4)/(sqrt(x^3+3)) then find (dy)/(dx) .

The velue of lim_(x rarr0)(sin(3sqrt(x))ln(1+3x))/((tan^(-1)sqrt(x))^(2)(e^(5(3sqrt(x)))-1)) is equal to

If x in[(sqrt(3))/(2), 1] then [sin^(-1){(x)/(sqrt(2))+(sqrt(1-x^(2)))/(sqrt(2))}-sin^(-1)x]=

The domain of f(x)=Tan^(-1)sqrt(x(x+3))+Sin^(-1)sqrt(x^(2)+3x+1) is

The number of real solution of cot^(-1)sqrt(x(x+3))+sin^(-1)sqrt(x^(2)+3x+1)=(pi)/(2) is /are

The number of real solution of cot^(-1)sqrt(x(x+3))+sin^(-1)sqrt(x^(2)+3x+1)=(pi)/(2) is /are

If I=intsqrt((5-x)/(2+x))dx , then I equals a) sqrt(x+2)sqrt(5-x)+3sin^(-1)sqrt((x+2)/(3))+C b) sqrt(x+2)sqrt(5-x)+7sin^(-1)sqrt((x+2)/(7))+C c) sqrt(x+2)sqrt(5-x)+5sin^(-1)sqrt((x+2)/(5))+C d)None of these