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Table of Integrals, Series, and Products, 8th Edition by Daniel Zwillinger

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Powers of hyperbolic functions and hyperbolic functions of linear functions of the argument

2.425

1. 

sinh(ax +b ) sinh(cx +d ) dx=12(a + c)sinh[ (a + c)x +b +d]12(a  c)sinh[ (a c)x +b d]                                             [a2 c2]

si878_e  GU (352)(2a)

2. 

sinh (ax + b) cosh(cx +d) dx=12(a + c)cosh[ (a + c)x +b +d]+12(a c)cosh[ (a  c)x +b d]                                               [a2    c2]

si879_e  GU (352)(2c)

3. 

cosh(ax + b) cosh(cx + d) dx=12(a + c) sinh[ (a + c)x + b + d]+12(ac)sinh[ (a c)x +b d]                      

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