what is the anti-derivative on square root of cosh^2(x)?
The square root of cosh^2 x is just cosh x, and the integral (or "antiderivative", if you prefer thet term) of that is sinh x.
To find the antiderivative of the square root of cosh^2 x, we can simplify the expression first. The square root of cosh^2 x is equivalent to cosh x.
Therefore, the antiderivative of cosh x is sinh x.
To verify this, we can differentiate sinh x to obtain cosh x, which is the original function.
So, the antiderivative of the square root of cosh^2 x is sinh x.