Chapter 8.4, Problem 41E

a.

To determine

Compute the area under the graph of $y=\sinh x\text{ for }0\le x\le 5$

b.

To determine

Compute the area under the graph of $y={\sinh }^{-1}x\text{ for }0\le x\le \sinh 5$

c.

To determine

Show that the sum of the areas in (a) and (b) is equal to $5\sinh 5$

d.

To determine

Explain why the sum of the areas in (a) and (b) is equal to 5sinh5.