�
�
1
1
sinh
2 x dx = sinh x cosh x − x + c
2
2
1
1
cosh
2 x dx = sinh x cosh x + x + c
2
2
298
Appendix A
A.2 Hyperbolic Functions [1]
x
sinh x
cosh x
tanh x
0.00
0.0000
1.0000
0.00000
0.10
0.1002
1.0050
0.09967
0.20
0.2013
1.0201
0.19738
0.30
0.3045
1.0453
0.29131
0.40
0.4108
1.0811
0.37995
0.50
0.5211
1.1276
0.46212
0.60
0.6367
1.1855
0.53705
0.70
0.7586
1.2552
0.60437
0.80
0.8881
1.3374
0.66404
0.90
1.0265
1.4331
0.71630
1.00
1.1752
1.5431
0.76159
1.10
1.3356
1.6685
0.80050
1.20
1.5095
1.8107
0.83365
1.30
1.6984
1.9709
0.86172
1.40
1.9043
2.1509
0.88535
1.50
2.1293
2.3524
0.90515
1.60
2.3756
2.5775
0.92167
1.70
2.6456
2.8283
0.93541
1.80
2.9422
3.1075
0.94681
1.90
3.2682
3.4177
0.95624
2.00
3.6269
3.7622
0.96403
2.10
4.0219
4.1443
0.97045
2.20
4.4571
4.5679
0.97574
2.30
4.9370
5.0372
0.98010
2.40
5.4662
5.5569
0.98367
2.50
6.0502
6.1323
0.98661
2.60
6.6947
6.7690
0.98903
2.70
7.4063
7.4735
0.99101