Consider the problem of finding the area of the region bounded by the x-axis, the line x = 4, and the curve

(a) Use a graphing utility to graph the region and approximate its area.
(b) Use an appropriate trigonometric substitution to find the exact area.

(c) Use the substitution x = 3 sinh u to find the exact area and verify that you obtain the same answer as in part (b).

Transcribed Image Text:

y x² (x² + 9)³/2*