[" Y "[" 10.4"10" .Fur a stifing firs "],[" I "(a sin^(-1)x+b cos^(-1)x)/(sqrt(1-x^(2)))dx],[=(1)/(2)((a sin^(-1)x+b cos^(-1)x)^(2))/(a-b)+c]]

sin^(-1)x+sin^(-1)y=cos^(-1)""{sqrt((1-x^(2))(1-y^(2)))-xy}

If y=(sin^(-1)x)/(cos^(-1)x)," then "(dy)/(dx)=(k)/((cos^(-1)x)^(2)sqrt(1-x^(2)))," where "k=

d/(dx)(sin^(-1)x+cos^(-1)x) is equal to : (A) (1)/(sqrt(1-x^(2))), (B) (2)/(sqrt(1-x^(2))), (C) 0 (D) sqrt(1-x^(2))

If a sin^(-1)x-b cos^(-1)x=c, then a sin^(-1)x+b cos^(-1) equal to

If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(dx) is equal to 4 (b) 3 (c) 1 (d) 0

If y=(sin^(-1)x)^(2)+(cos^(-1)x)^(2), then (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx) is equal to 4(b)3(c)1(d)0

If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(dx) is equal to 4 (b) 3 (c) 1 (d) 0

The solution set of the equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x=(cot^(-1)(sqrt(1-x^(2))))/(x)-sin^(-1)x is (a) [-1,1]-{0}(b)(0,1)uu{-1}(c)(-1,0)uu{1} (d) [-1,1]

int(sin^(2)x*sec^(2)x+2tanx*sin^(-1)x*sqrt(1-x^(2)))/(sqrt(1-x^(2))(1+tan^(2)x))dx= a) (cos^(2)x)(sin^(-1)x)+C b) (sin^(2)x)(sin^(-1)x)+C c) (sec^(2)x)(cos^(-1)x)+C d) (sec^(2)x)(tan^(-1)x)+C

If x takes negative permissible values , then sin^(-1) x= a) cos^(-1)sqrt(1-x^2) b) -cos^(-1)sqrt(1-x^2) c) cos^(-1)sqrt(x^2-1) d) pi-cos^(-1)sqrt(1-x^2)