45. Solve the following WITHOUT the help of a calculator. Let \( R \) be the region bounded by the graphs of \[ y = \sqrt{x} \] on top and \[ y = \frac{4}{\pi} \sin^{-1}\left(\frac{x}{4}\right) \] on the bottom, as shown in the figure. What is the area of the region? (Hint: integrating with respect to \( y \) is easier than with respect to \( x \) for this problem.)
Answer is: option3
Solution:
\( \frac{8}{3} + \frac{16}{\pi} \)
