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

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3.5 Hyperbolic Functions

3.51 Hyperbolic functions

3.511.

1.12 

0dxcosh x=π2

si2030_e

2.12 

0sinh axsinh xdx=π2tan(πa2)[|a|<1]

si2031_e

BI (27)(10)a

3.12 

0sinh axcosh xdx=π2sec(πa2)β(a+12)[|a|<1]

si2032_e

GW (351)(3b)

4.12 

0cosh axcosh xdx=π2sec(πa2)[|a|<1]

si2033_e

BI (4)(14)a

5.12 

0sinh ax cosh bxsinh xdx=π2sin πacos  πa+cos πb[|a|+|b|<1]

BI (27)(11)

6.12 ...

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