`sinh (cosh^-1x)=`

sinh(cosh^(-1)x)=

The value of sinh ("cosh"^(-1)x) is

(A) If tanh alpha=(2)/(3), tan h beta=(3)/(5) then tanh(alpha-beta)=p_(1) (B) sinh(cosh^(-1)3+sinh^(-1)7)=p_(2) (C ) tanh["tanh"^(-1)(2)/(3)+"tanh"^(-1)(3)/(5)]=p_(3)

If A = "Tanh"^(-1) (1//2) + "Coth"^(-1) (2), "B = sinh "("Cosh"^(-1)9) . "C = sech"^(2) ("Tanh"^(-1) 1//2)+ "cosech"^2 ("Coth"^(-1) 3) then

int e^(x) (sinh x + cosh x) dx =

Integration of trigonometric and hyperbolic functions (a) intsinh^(2) x cosh^(2) x dx, (b) int(dx)/(sinh x + 2cosh x).

If coshx=3//2, then find the value of (i) sinh2x (ii) cosh2x

int Cosh^(-1)x dx=

sinh3 - cosh3 =