Evaluate using the substitution of Exercise 43. Data From Exercise 43 Show that if u = tanh(x/2),

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Evaluate using the substitution of Exercise 43.

Ss sech x dx

Data From Exercise 43

Show that if u = tanh(x/2), then

cosh x = 1+u 1-4 sinh x = 2u 1-u dx = 2du 1- u

For the first relation, use the identities

sinh  () ==(cosh x - 1), 2 osh (-) = (cosh x + 1)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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