Chapter 3
Listing of integrals

 3.1 \(\int (c+d x)^4 \cosh (a+b x) \, dx\)
 3.2 \(\int (c+d x)^3 \cosh (a+b x) \, dx\)
 3.3 \(\int (c+d x)^2 \cosh (a+b x) \, dx\)
 3.4 \(\int (c+d x) \cosh (a+b x) \, dx\)
 3.5 \(\int \frac {\cosh (a+b x)}{c+d x} \, dx\)
 3.6 \(\int \frac {\cosh (a+b x)}{(c+d x)^2} \, dx\)
 3.7 \(\int \frac {\cosh (a+b x)}{(c+d x)^3} \, dx\)
 3.8 \(\int (c+d x)^4 \cosh ^2(a+b x) \, dx\)
 3.9 \(\int (c+d x)^3 \cosh ^2(a+b x) \, dx\)
 3.10 \(\int (c+d x)^2 \cosh ^2(a+b x) \, dx\)
 3.11 \(\int (c+d x) \cosh ^2(a+b x) \, dx\)
 3.12 \(\int \frac {\cosh ^2(a+b x)}{c+d x} \, dx\)
 3.13 \(\int \frac {\cosh ^2(a+b x)}{(c+d x)^2} \, dx\)
 3.14 \(\int \frac {\cosh ^2(a+b x)}{(c+d x)^3} \, dx\)
 3.15 \(\int \frac {\cosh ^2(a+b x)}{(c+d x)^4} \, dx\)
 3.16 \(\int (c+d x)^4 \cosh ^3(a+b x) \, dx\)
 3.17 \(\int (c+d x)^3 \cosh ^3(a+b x) \, dx\)
 3.18 \(\int (c+d x)^2 \cosh ^3(a+b x) \, dx\)
 3.19 \(\int (c+d x) \cosh ^3(a+b x) \, dx\)
 3.20 \(\int \frac {\cosh ^3(a+b x)}{c+d x} \, dx\)
 3.21 \(\int \frac {\cosh ^3(a+b x)}{(c+d x)^2} \, dx\)
 3.22 \(\int \frac {\cosh ^3(a+b x)}{(c+d x)^3} \, dx\)
 3.23 \(\int x^3 \cosh ^4(a+b x) \, dx\)
 3.24 \(\int x^2 \cosh ^4(a+b x) \, dx\)
 3.25 \(\int x \cosh ^4(a+b x) \, dx\)
 3.26 \(\int (c+d x)^3 \text {sech}(a+b x) \, dx\)
 3.27 \(\int (c+d x)^2 \text {sech}(a+b x) \, dx\)
 3.28 \(\int (c+d x) \text {sech}(a+b x) \, dx\)
 3.29 \(\int \frac {\text {sech}(a+b x)}{c+d x} \, dx\)
 3.30 \(\int \frac {\text {sech}(a+b x)}{(c+d x)^2} \, dx\)
 3.31 \(\int (c+d x)^3 \text {sech}^2(a+b x) \, dx\)
 3.32 \(\int (c+d x)^2 \text {sech}^2(a+b x) \, dx\)
 3.33 \(\int (c+d x) \text {sech}^2(a+b x) \, dx\)
 3.34 \(\int \frac {\text {sech}^2(a+b x)}{c+d x} \, dx\)
 3.35 \(\int \frac {\text {sech}^2(a+b x)}{(c+d x)^2} \, dx\)
 3.36 \(\int (c+d x)^3 \text {sech}^3(a+b x) \, dx\)
 3.37 \(\int (c+d x)^2 \text {sech}^3(a+b x) \, dx\)
 3.38 \(\int (c+d x) \text {sech}^3(a+b x) \, dx\)
 3.39 \(\int \frac {\text {sech}^3(a+b x)}{c+d x} \, dx\)
 3.40 \(\int \frac {\text {sech}^3(a+b x)}{(c+d x)^2} \, dx\)
 3.41 \(\int (c+d x)^{5/2} \cosh (a+b x) \, dx\)
 3.42 \(\int (c+d x)^{3/2} \cosh (a+b x) \, dx\)
 3.43 \(\int \sqrt {c+d x} \cosh (a+b x) \, dx\)
 3.44 \(\int \frac {\cosh (a+b x)}{\sqrt {c+d x}} \, dx\)
 3.45 \(\int \frac {\cosh (a+b x)}{(c+d x)^{3/2}} \, dx\)
 3.46 \(\int \frac {\cosh (a+b x)}{(c+d x)^{5/2}} \, dx\)
 3.47 \(\int \frac {\cosh (a+b x)}{(c+d x)^{7/2}} \, dx\)
 3.48 \(\int (c+d x)^{5/2} \cosh ^2(a+b x) \, dx\)
 3.49 \(\int (c+d x)^{3/2} \cosh ^2(a+b x) \, dx\)
 3.50 \(\int \sqrt {c+d x} \cosh ^2(a+b x) \, dx\)
 3.51 \(\int \frac {\cosh ^2(a+b x)}{\sqrt {c+d x}} \, dx\)
 3.52 \(\int \frac {\cosh ^2(a+b x)}{(c+d x)^{3/2}} \, dx\)
 3.53 \(\int \frac {\cosh ^2(a+b x)}{(c+d x)^{5/2}} \, dx\)
 3.54 \(\int \frac {\cosh ^2(a+b x)}{(c+d x)^{7/2}} \, dx\)
 3.55 \(\int \frac {\cosh ^2(a+b x)}{(c+d x)^{9/2}} \, dx\)
 3.56 \(\int (c+d x)^{5/2} \cosh ^3(a+b x) \, dx\)
 3.57 \(\int (c+d x)^{3/2} \cosh ^3(a+b x) \, dx\)
 3.58 \(\int \sqrt {c+d x} \cosh ^3(a+b x) \, dx\)
 3.59 \(\int \frac {\cosh ^3(a+b x)}{\sqrt {c+d x}} \, dx\)
 3.60 \(\int \frac {\cosh ^3(a+b x)}{(c+d x)^{3/2}} \, dx\)
 3.61 \(\int \frac {\cosh ^3(a+b x)}{(c+d x)^{5/2}} \, dx\)
 3.62 \(\int \frac {\cosh ^3(a+b x)}{(c+d x)^{7/2}} \, dx\)
 3.63 \(\int (d x)^{3/2} \cosh (f x) \, dx\)
 3.64 \(\int \sqrt {d x} \cosh (f x) \, dx\)
 3.65 \(\int \frac {\cosh (f x)}{\sqrt {d x}} \, dx\)
 3.66 \(\int \frac {\cosh (f x)}{(d x)^{3/2}} \, dx\)
 3.67 \(\int \frac {\cosh (f x)}{(d x)^{5/2}} \, dx\)
 3.68 \(\int \sqrt {c+d x} \text {sech}(a+b x) \, dx\)
 3.69 \(\int \frac {\text {sech}(a+b x)}{\sqrt {c+d x}} \, dx\)
 3.70 \(\int \frac {\cosh ^{\frac {3}{2}}(x)}{x^3} \, dx\)
 3.71 \(\int (\frac {x}{\cosh ^{\frac {3}{2}}(x)}+x \sqrt {\cosh (x)}) \, dx\)
 3.72 \(\int (\frac {x}{\cosh ^{\frac {5}{2}}(x)}-\frac {x}{3 \sqrt {\cosh (x)}}) \, dx\)
 3.73 \(\int (\frac {x}{\cosh ^{\frac {7}{2}}(x)}+\frac {3}{5} x \sqrt {\cosh (x)}) \, dx\)
 3.74 \(\int (\frac {x^2}{\cosh ^{\frac {3}{2}}(x)}+x^2 \sqrt {\cosh (x)}) \, dx\)
 3.75 \(\int (c+d x)^m (b \cosh (e+f x))^n \, dx\)
 3.76 \(\int (c+d x)^m \cosh ^3(a+b x) \, dx\)
 3.77 \(\int (c+d x)^m \cosh ^2(a+b x) \, dx\)
 3.78 \(\int (c+d x)^m \cosh (a+b x) \, dx\)
 3.79 \(\int (c+d x)^m \text {sech}(a+b x) \, dx\)
 3.80 \(\int (c+d x)^m \text {sech}^2(a+b x) \, dx\)
 3.81 \(\int x^{3+m} \cosh (a+b x) \, dx\)
 3.82 \(\int x^{2+m} \cosh (a+b x) \, dx\)
 3.83 \(\int x^{1+m} \cosh (a+b x) \, dx\)
 3.84 \(\int x^m \cosh (a+b x) \, dx\)
 3.85 \(\int x^{-1+m} \cosh (a+b x) \, dx\)
 3.86 \(\int x^{-2+m} \cosh (a+b x) \, dx\)
 3.87 \(\int x^{-3+m} \cosh (a+b x) \, dx\)
 3.88 \(\int x^{3+m} \cosh ^2(a+b x) \, dx\)
 3.89 \(\int x^{2+m} \cosh ^2(a+b x) \, dx\)
 3.90 \(\int x^{1+m} \cosh ^2(a+b x) \, dx\)
 3.91 \(\int x^m \cosh ^2(a+b x) \, dx\)
 3.92 \(\int x^{-1+m} \cosh ^2(a+b x) \, dx\)
 3.93 \(\int x^{-2+m} \cosh ^2(a+b x) \, dx\)
 3.94 \(\int x^{-3+m} \cosh ^2(a+b x) \, dx\)
 3.95 \(\int (\frac {x}{\text {sech}^{\frac {3}{2}}(x)}-\frac {1}{3} x \sqrt {\text {sech}(x)}) \, dx\)
 3.96 \(\int (\frac {x}{\text {sech}^{\frac {5}{2}}(x)}-\frac {3 x}{5 \sqrt {\text {sech}(x)}}) \, dx\)
 3.97 \(\int (\frac {x}{\text {sech}^{\frac {7}{2}}(x)}-\frac {5}{21} x \sqrt {\text {sech}(x)}) \, dx\)
 3.98 \(\int (\frac {x^2}{\text {sech}^{\frac {3}{2}}(x)}-\frac {1}{3} x^2 \sqrt {\text {sech}(x)}) \, dx\)
 3.99 \(\int (c+d x)^3 (a+a \cosh (e+f x)) \, dx\)
 3.100 \(\int (c+d x)^2 (a+a \cosh (e+f x)) \, dx\)
 3.101 \(\int (c+d x) (a+a \cosh (e+f x)) \, dx\)
 3.102 \(\int \frac {a+a \cosh (e+f x)}{c+d x} \, dx\)
 3.103 \(\int \frac {a+a \cosh (e+f x)}{(c+d x)^2} \, dx\)
 3.104 \(\int \frac {a+a \cosh (e+f x)}{(c+d x)^3} \, dx\)
 3.105 \(\int (c+d x)^3 (a+a \cosh (e+f x))^2 \, dx\)
 3.106 \(\int (c+d x)^2 (a+a \cosh (e+f x))^2 \, dx\)
 3.107 \(\int (c+d x) (a+a \cosh (e+f x))^2 \, dx\)
 3.108 \(\int \frac {(a+a \cosh (e+f x))^2}{c+d x} \, dx\)
 3.109 \(\int \frac {(a+a \cosh (e+f x))^2}{(c+d x)^2} \, dx\)
 3.110 \(\int \frac {(a+a \cosh (e+f x))^2}{(c+d x)^3} \, dx\)
 3.111 \(\int \frac {(c+d x)^3}{a+a \cosh (e+f x)} \, dx\)
 3.112 \(\int \frac {(c+d x)^2}{a+a \cosh (e+f x)} \, dx\)
 3.113 \(\int \frac {c+d x}{a+a \cosh (e+f x)} \, dx\)
 3.114 \(\int \frac {1}{(c+d x) (a+a \cosh (e+f x))} \, dx\)
 3.115 \(\int \frac {1}{(c+d x)^2 (a+a \cosh (e+f x))} \, dx\)
 3.116 \(\int \frac {(c+d x)^3}{(a+a \cosh (e+f x))^2} \, dx\)
 3.117 \(\int \frac {(c+d x)^2}{(a+a \cosh (e+f x))^2} \, dx\)
 3.118 \(\int \frac {c+d x}{(a+a \cosh (e+f x))^2} \, dx\)
 3.119 \(\int \frac {1}{(c+d x) (a+a \cosh (e+f x))^2} \, dx\)
 3.120 \(\int \frac {1}{(c+d x)^2 (a+a \cosh (e+f x))^2} \, dx\)
 3.121 \(\int x^3 \sqrt {a+a \cosh (c+d x)} \, dx\)
 3.122 \(\int x^2 \sqrt {a+a \cosh (c+d x)} \, dx\)
 3.123 \(\int x \sqrt {a+a \cosh (c+d x)} \, dx\)
 3.124 \(\int \frac {\sqrt {a+a \cosh (c+d x)}}{x} \, dx\)
 3.125 \(\int \frac {\sqrt {a+a \cosh (c+d x)}}{x^2} \, dx\)
 3.126 \(\int \frac {\sqrt {a+a \cosh (c+d x)}}{x^3} \, dx\)
 3.127 \(\int x^3 \sqrt {a+a \cosh (x)} \, dx\)
 3.128 \(\int x^2 \sqrt {a+a \cosh (x)} \, dx\)
 3.129 \(\int x \sqrt {a+a \cosh (x)} \, dx\)
 3.130 \(\int \frac {\sqrt {a+a \cosh (x)}}{x} \, dx\)
 3.131 \(\int \frac {\sqrt {a+a \cosh (x)}}{x^2} \, dx\)
 3.132 \(\int \frac {\sqrt {a+a \cosh (x)}}{x^3} \, dx\)
 3.133 \(\int x^3 (a+a \cosh (x))^{3/2} \, dx\)
 3.134 \(\int x^2 (a+a \cosh (x))^{3/2} \, dx\)
 3.135 \(\int x (a+a \cosh (x))^{3/2} \, dx\)
 3.136 \(\int \frac {(a+a \cosh (x))^{3/2}}{x} \, dx\)
 3.137 \(\int \frac {(a+a \cosh (x))^{3/2}}{x^2} \, dx\)
 3.138 \(\int \frac {(a+a \cosh (x))^{3/2}}{x^3} \, dx\)
 3.139 \(\int \frac {x^3}{\sqrt {a+a \cosh (c+d x)}} \, dx\)
 3.140 \(\int \frac {x^2}{\sqrt {a+a \cosh (c+d x)}} \, dx\)
 3.141 \(\int \frac {x}{\sqrt {a+a \cosh (c+d x)}} \, dx\)
 3.142 \(\int \frac {1}{x \sqrt {a+a \cosh (c+d x)}} \, dx\)
 3.143 \(\int \frac {1}{x^2 \sqrt {a+a \cosh (c+d x)}} \, dx\)
 3.144 \(\int \frac {x^3}{(a+a \cosh (x))^{3/2}} \, dx\)
 3.145 \(\int \frac {x^2}{(a+a \cosh (x))^{3/2}} \, dx\)
 3.146 \(\int \frac {x}{(a+a \cosh (x))^{3/2}} \, dx\)
 3.147 \(\int \frac {1}{x (a+a \cosh (x))^{3/2}} \, dx\)
 3.148 \(\int \frac {1}{x^2 (a+a \cosh (x))^{3/2}} \, dx\)
 3.149 \(\int \frac {\sqrt [3]{a+a \cosh (c+d x)}}{x} \, dx\)
 3.150 \(\int (c+d x)^m (a+a \cosh (e+f x))^n \, dx\)
 3.151 \(\int (c+d x)^m (a+a \cosh (e+f x))^3 \, dx\)
 3.152 \(\int (c+d x)^m (a+a \cosh (e+f x))^2 \, dx\)
 3.153 \(\int (c+d x)^m (a+a \cosh (e+f x)) \, dx\)
 3.154 \(\int \frac {(c+d x)^m}{a+a \cosh (e+f x)} \, dx\)
 3.155 \(\int \frac {(c+d x)^m}{(a+a \cosh (e+f x))^2} \, dx\)
 3.156 \(\int (c+d x)^3 (a+b \cosh (e+f x)) \, dx\)
 3.157 \(\int (c+d x)^2 (a+b \cosh (e+f x)) \, dx\)
 3.158 \(\int (c+d x) (a+b \cosh (e+f x)) \, dx\)
 3.159 \(\int \frac {a+b \cosh (e+f x)}{c+d x} \, dx\)
 3.160 \(\int \frac {a+b \cosh (e+f x)}{(c+d x)^2} \, dx\)
 3.161 \(\int \frac {a+b \cosh (e+f x)}{(c+d x)^3} \, dx\)
 3.162 \(\int (c+d x)^3 (a+b \cosh (e+f x))^2 \, dx\)
 3.163 \(\int (c+d x)^2 (a+b \cosh (e+f x))^2 \, dx\)
 3.164 \(\int (c+d x) (a+b \cosh (e+f x))^2 \, dx\)
 3.165 \(\int \frac {(a+b \cosh (e+f x))^2}{c+d x} \, dx\)
 3.166 \(\int \frac {(a+b \cosh (e+f x))^2}{(c+d x)^2} \, dx\)
 3.167 \(\int \frac {(a+b \cosh (e+f x))^2}{(c+d x)^3} \, dx\)
 3.168 \(\int \frac {(c+d x)^3}{a+b \cosh (e+f x)} \, dx\)
 3.169 \(\int \frac {(c+d x)^2}{a+b \cosh (e+f x)} \, dx\)
 3.170 \(\int \frac {c+d x}{a+b \cosh (e+f x)} \, dx\)
 3.171 \(\int \frac {1}{(c+d x) (a+b \cosh (e+f x))} \, dx\)
 3.172 \(\int \frac {1}{(c+d x)^2 (a+b \cosh (e+f x))} \, dx\)
 3.173 \(\int \frac {(c+d x)^3}{(a+b \cosh (e+f x))^2} \, dx\)
 3.174 \(\int \frac {(c+d x)^2}{(a+b \cosh (e+f x))^2} \, dx\)
 3.175 \(\int \frac {c+d x}{(a+b \cosh (e+f x))^2} \, dx\)
 3.176 \(\int \frac {1}{(c+d x) (a+b \cosh (e+f x))^2} \, dx\)
 3.177 \(\int \frac {1}{(c+d x)^2 (a+b \cosh (e+f x))^2} \, dx\)
 3.178 \(\int (c+d x)^m (a+b \cosh (e+f x))^n \, dx\)
 3.179 \(\int (c+d x)^m (a+b \cosh (e+f x))^3 \, dx\)
 3.180 \(\int (c+d x)^m (a+b \cosh (e+f x))^2 \, dx\)
 3.181 \(\int (c+d x)^m (a+b \cosh (e+f x)) \, dx\)
 3.182 \(\int \frac {(c+d x)^m}{a+b \cosh (e+f x)} \, dx\)
 3.183 \(\int \frac {(c+d x)^m}{(a+b \cosh (e+f x))^2} \, dx\)