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

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xcosh2n1x dx=k=1n1(2n  3)(2n  5) . . . (2n  2k + 1)(2n  2)(2n  4) . . . (2n  2k)×[ x sinh xcosh2n2k x+ 1(2n  2k  1) cosh2n2k1 x] +(2n  3)!!(2n  2)!! x dxcosh x

si1161_e

(see 2.477 16)GU (353)(10e)

15. 

x dxsinh x = k=02  22k(2k + 1)(2k)! B2kx2k+1         [|x| < π]

si1162_e

GU (353)(8b)a

16. 

x dxcosh x = k=0E2kx2k+2(2k + 2)(2k)!          [|x| < π2]

si1163_e

GU (353)(10b)a

17. 

x dxsinh2x = x coth x+ln sinh x

MZ 257

18. 

x dxcosh2 x = 

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