a) Use suitable sum and difference identities for hyperbolic functions to show that sinh(5x) cosh(3x) = 1/2 (sinh(8x) + sinh(2x)) b) ) Hence, or otherwise, find ∫ sinh(5x) cosh(3x) dx.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 41E
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a) Use suitable sum and difference identities for hyperbolic functions to show that

sinh(5x) cosh(3x) = 1/2 (sinh(8x) + sinh(2x))

b) ) Hence, or otherwise, find

sinh(5x) cosh(3x) dx

 

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