If
\[
\int\frac{dx}{\sqrt{4x^{2}+11x+6}}
=
\frac12\cosh^{-1}\!\left(\frac{f(x)}{5}\right)+C
\]
and
\[
f(1)=19,
\]
then \(f(2)=\) ?
Show Hint
For quadratic expressions under a square root, memorize the standard logarithmic and inverse hyperbolic integral forms. They save a lot of computation.