10*(sin^(-1)x)^(2)quad 11

Evaluate the following : int_(0)^(11//sqrt2)(sin^(-1)x)/((1-x^(2))^(3//2))dx.

If x(3-x)<=2 then sin^(-1)(x)+sin^(-1)(x^(2))+......+sin^(-1)(x^(10))=

Differentiate sin^(-1)((2x)/(1+x^(2))) with respect to x, when x in(-1,1)

If x in [-1,1] then sin^(-1)((2x)/(1+x^(2))) equals

If x in [-1,1] then sin^(-1)((2x)/(1+x^(2))) equals

Assertion A : The equation sin^(-1)x=3sin^(-1)(a) has a solution for -1/2leale1/2 Reason : AA x in [-1,1], sin^(-1)x in [0,2pi]

Differentiate tan^(-1)((2x)/(1-x^(2))) with respect to sin^(-1)((2x)/(1+x^(2))), if x in(-1,1)

Prove that (d)/(dx)(sin^(-1)x)=(1)/(sqrt(1-x^(2)) , where x in [-1,1].

If f(x)=(2x+sin^(-1)x)/(2x-tan^(-1)x) is continuous for all x in (-1,1) , then value of f (0) is

Prove that sin^(-1)""1/3+sin^(-1)""1/(3sqrt11)+sin^(-1)""(3)/(sqrt11)=pi/2