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

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4

Definite Integrals of Elementary Functions

4.11–4.12 Combinations involving trigonometric and hyperbolic functions and powers

4.111

1. 

0sin?axsinh?bxx2m?dx=(1)mπ2b2ma2m(tanh?aπ2b)[Reb>0](cf.?3.981?1)

si1_e  GW (336)(17a)

2. 

0cos?axsinh?bxx2m+1?dx=(1)mπ2b2m+1a2m+1(tanh?aπ2b)[Reb>0](cf.?3.981?1)

si2_e  GW (336)(17b)

3. 

0sin?axcosh?bxx2m+1?dx=(1)m+1π2b2m+1a2m+1(1cosh?aπ2b)[Reb>0](cf.?3.981?3)

si3_e  GW (336)(18b)

4. 

0cos?axcosh?bxx2m?d

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