(a) Compute the area under the graph of y = sinh x for 0 x ...

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(a) Compute the area under the graph of y = sinh x for 0 ≤ x ≤ 5.
(b) Compute the area under the graph of y = sinh−1 x for 0 ≤ x ≤ sinh 5.
(c) Show that the sum of the areas in (a) and (b) is equal to 5 sinh 5.
(d) Refer to Figure 1 and explain why the sum of the areas in (a) and (b) is equal to 5 sinh 5.

sinh 5 y = sinh x 5 X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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