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

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cosh2m(ax + b) sin2n(cx + d) dx=(2mm)(2nn)22m+2nx+(1)n(2mm)22m+2n1k=0m1(1)k(2nk)(2n 2k)csin[ (2n  2k)(cx + d)]+(2nn)22m+2n1j=0m1(2mj)(2m 2j )asinh[ (2m 2j)(ax + b)]+(1)n22m+2n2j=0m1k=0n1(1)k(2mj)(2nk)(2m 2j)2a2 + (2n 2k)2c2×{ (2m 2j)a sinh[ (2m 2j)(ax + b)] cos[ (2n  2k)(cx + d)]+(2n  2k)c cosh[ (2m 2j)(ax + b)]sin[ (2n  2k)(cx + d)]}

si2196_e

GU (354)(5a)

10. 

cosh2m1(ax + b) sin2n(cx + d) dx=(2nn)22m+2n2j=0m1(2m1j)(2m 2j  1)asinh[ (2m 2j  1)(ax + b)]+(1)n22m+2n3j=0m1k=0n1(1)k(2m1j)(2nk)(2m 2j  1)2a2 + (2n 2k)2c2       ×{ (2m 2j  1)a sinh[ (2m 2j  1)(ax + b)] cos[ (2n  2k)(cx + d)]+(2n  2k)c

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