Find the exact area under the curve between the indicated values of $x$ $y=\frac{1}{\sqrt{x}} ;$ between $x=1$ and $x=4$ A. 4 B. $\frac{1}{4}$ C. $\frac{1}{2}$ D. 2

Step 1 ：The area under the curve of a function between two points can be found by integrating the function from the lower limit to the upper limit. In this case, we need to integrate the function \(y=\frac{1}{\sqrt{x}}\) from \(x=1\) to \(x=4\).

Step 2 ：The result of the integration is 2. This is the exact area under the curve between \(x=1\) and \(x=4\).

Step 3 ：Final Answer: \(\boxed{2}\)