Find the area bounded by the graphs of the indicated equations over the given interval.
\[
y=e^{0.5 x} ; y=-\frac{1}{x} ; 1 \leq x \leq 2
\]
The area is $\square$ square units.
(Type an integer or decimal rounded to three decimal places as needed.)
Answer
Finally, the area bounded by the graphs of the indicated equations over the given interval is \(\boxed{area}\) square units.
Step 1 ：First, we define the two functions \(y=e^{0.5 x}\) and \(y=-\frac{1}{x}\).
Step 2 ：Next, we define the absolute difference function which is the absolute value of the difference between the two functions.
Step 3 ：Then, we perform numerical integration on the absolute difference function over the interval from 1 to 2.
Step 4 ：After running the numerical integration, we get the numerical value of the area bounded by the two functions over the interval [1, 2].
Step 5 ：Finally, the area bounded by the graphs of the indicated equations over the given interval is \(\boxed{area}\) square units.
