tan^(2)(sin^(-1)x)>1quad " S "[2]," d "|x in...

Let f(x)=sin^(-1)((2x+2)/(sqrt(4x^(2)+8x+13))) , then the value of (d(tanf(x)))/(d(tan^(-1)x)) , when x=(1)/(2), is..........

Let f(x)=sin^(-1)((2x+2)/(sqrt(4x^(2)+8x+13))) , then the value of (d(tanf(x)))/(d(tan^(-1)x)) , when x=(1)/(2), is..........

If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to 4tan^(-1)x (b) 0 (c) pi/2 (d) pi

If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4tan^(-1)x (b) 0 (c) pi/2 (d) pi

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 2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is independent of ' x ' then (a)x in (-1,1) (b) x in (-oo,-1) (c)x in [1,oo) (d) x in (0,1)

If 2tan^(-1)x+sin^(-1)(2x)/(1+x^2) is independent of x , then x >1 (b) x<-1 (c) 0

2 tan^(-1) x = sin^(-1) ((2x)/(1+x^(2))) , 1 le x le 1

Simplify 2"tan"^(-1)x+"sin"^(-1)((2x)/(1+x^(2))) in terms of "tan"^(-1)x .

The value of the integral int(cos^(3)x+cos^(5)x)/(sin^(2)x+sin^(4)x)dx is (A) sin x-6tan^(-1)(sin x)+C(B)sin x-2(sin x)^(-1)+C(C)sin x-2(sin x)^(-1)+6tan^(-1)(sin x)+C(D)sin x-2(sin x)^(-1)+5tan^(-1)(sin x)+C