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a) Use suitable sum and difference identities for hyperbolic functions to show that sinh(5 x ) cosh(3 x ) = 1/2 (sinh(8 x ) +

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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