`int(sqrt(1-x^2)+sqrt(1+x^2))/(sqrt(1-x^4)) dx=` (A) `cosh^-1 x+sin^-1 x+c` (B) `cosh^-1 x+cos^-1 x+c` (C) `sinh^-1 x+sin^-1 x+c ` (D) `sinh^-1 x+cos^-1 x+c`

int "(1)/(x)sqrt((x-1)/(x+1))dx= A) cosh^(-1)x-sec^(-1)x+c (B) cosh^(-1)x+sec^(-1)x+c (C) sinh^(-1)x-sec^(-1)x+c (D) sinh^(-1)x-cos ec^(-1)x+c

is sinh^(-1)(2)+sinh^(-1)(3)=xth cosh(x)

sin^(-1)[sqrt(x^(2)-x^(3))-sqrt(x-x^(3))]=..... a) sin^(-1)x+sin^(-1)sqrt(x) b) sin^(-1)x-sin^(-1)sqrt(x) c) sin^(-1)sqrt(x)-sin^(-1)x d) 2sin^(-1)x

"Sinh"^(-1) [-x/sqrt(1 - x^2)] =

sinh^(-1)2+sinh^(-1)3=x rArr cosh x= then

int sin^(-1) x dx=............ A) x sin^(-1) x + sqrt (1-x^2) + c B) x sin^(-1) x - sqrt (1- x^2) + c C) -x sin^(-1) x + sqrt (1-x^2) + c D) x sin^(-1) x + sqrt (x^2 - 1) + c

int sqrt((1-x)/(1+x))dx is equal to a) sin^(-1)x + sqrt(1 - x^(2)) + C b) sin^(-1) x - 2 sqrt(1 - x^(2)) + C c) 2 sin^(-1) x - sqrt(1 - x^(2)) + C d) sin^(-1)x - sqrt(1 - x^(2)) + C

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

int(1)/(sqrt(a^(2)-x^(2)))=sin^(-1)((x)/(a))+c

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