Gauss's Prodigy

I understand your point, thanks

Thank you for sharing your view Xittenn. You say that C can assume any value we chose, what would happen if both of the constants of integration was equal to 0? Would you agree that the hyperbolic identity would not be fulfilled? Thanks

Thank you for your response imatfaal, I can appreciate what you said about the constants of integration. But I would have imagined the constants of integration to be identical since they are both originating from the same function that was integrated. The solution of the integral is simply written in two different forms, both of which seem to be mathematically correct. Therefore I believe the constants should theoretically be equal. But even if we were to agree that the constants of integration may not be identical; lets say that they can take any value, so long as C minus C is not equal to 0.5, the hyperbolic identity (coshx)^2 - (sinhx)^2 = 1 will still NOT be true, as it will no longer equal 1.

Hello, I was wondering if someone could help me to interpret the following integral calculus problem: (Please open and study the attached file) Many thanksIntegral Problem.pdf