(iv)a^(sin^(-1)x)

If f(x) = frac{sin^(-1)x}{sqrt (1-x^2)} , g(x)=e^(sin^(-1)x) , then int f(x)g(x) dx =........................ A) e^(sin^(-1)x) (sin^(-1)x-1) + c B) e^( sin^(-1)x) (1- sin^(-1)x) + c C) e^(sin^(-1)x) (sin^(-1)x+1) + c D) -e^(sin^(-1)x) (sin^(-1)x-1) + c

Differentiate x^(sin^(-1)x) with respect to sin^(-1)x

Differentiate x^(sin^(-1)x) with respect to sin^(-1)x .

lim_(x rarr0)(sin^(-1)x+3x)/(tan x+2sin((1)/(2)sin^(-1)x)[3-4sin^(2)((1)/(2)sin^(-1)x)])=

Lt_(x to 0)(sin^(-1)x+3x)/(tanx+2sin((1)/(2)sin^(-1)x)[3-4"sin"^(2)((1)/(2)sin^(-1)x)])=

The value of x satisfying the equation (sin^(-1)x)^(3)-(cos^(-1)x)^(3)+(sin^(-1)x)(cos^(-1)x)(sin^(-1)x-cos^(-1)x)=(pi^(3))/(16) is :

Let t_(1)= (sin^(-1)x)^(sin^(-1)x),t_(2)= (sin^(-1) x)^(cos^(-1)x),t_(3) = (cos^(-1)x)^(sin^(-1)x),t_(4) = (cos^(-1)x)^(cos^(-1)x) , Match the follwing items of Column I with Column II