The value of `costan^(-1)[(sincot^(-1)x)]`
`(A) sqrt((x^2+1)/(x^2+2))`
`(B) sqrt((x^2-1)/(x^2+2))`
`(C) sqrt((x^2+1)/(x^2-2))`
`(D) sqrt((x^2-1)/(x^2-2))`

Solve the equations. sin(tan^(-1)x),|x|<1 (a) x/(sqrt(1-x^2)) (B) 1/(sqrt(1-x^2)) (C) 1/(sqrt(1+x^2)) (D) x/(sqrt(1+x^2))

Find the value of int((x^m-1)dx)/(x^(m+1)sqrt(1-2x^m+mx^(2m))) (A) sqrt(m+2/x^m+1/x^(2m)+c) (B) sqrt(m-2/x^m+1/x^(2m)+c) (C) sqrt(m-2/x^m-1/x^(2m)+c) (D) sqrt(m+2/x^m-1/x^(2m)+c)

Simplify (x+sqrt(x^(2)-1))/(x-sqrt(x^(2)-1))+(x-sqrt(x^(2)-1))/(x+sqrt(x^(2)-1))

int(x^(4)-1)/(x^(2))sqrt(x^(4)+x^(2)+1)dx equal to (A) sqrt((x^(4)+x^(2)+1)/(x)+c(B)sqrt(x^(4)+2-(1)/(x^(2)))+c)sqrt((x^(4)-x^(2)+1)/(x))+c

tan(cos^(-1)x) is equal to (x)/(1+x^(2)) b.(sqrt(1+x^(2)))/(x) c.(sqrt(1-x^(2)))/(x) d.sqrt(1-2x)

IfI=int(dx)/(x^(3)sqrt(x^(2)-1)), then Iequals a.(1)/(2)((sqrt(x^(2)-1))/(x^(3))+tan^(-1)sqrt(x^(2)-1))+C b.(1)/(2)((sqrt(x^(2)-1))/(x^(2))+x tan^(-1)sqrt(x^(2)-1))+Cc(1)/(2)((sqrt(x^(2)-1))/(x^(2))+tan^(-1)sqrt(x^(2)-1))+Cd(1)/(2)((sqrt(x^(2)-1))/(x^(2))+tan^(-1)sqrt(x^(2)-1))+C

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))

tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))