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Chapter 3
Listing of integrals
3.1
\(\int \frac {e^x}{4+6 e^x} \, dx\)
3.2
\(\int \frac {e^x}{a+b e^x} \, dx\)
3.3
\(\int \frac {e^{d x}}{a+b e^{c+d x}} \, dx\)
3.4
\(\int \frac {e^{c+d x}}{a+b e^{c+d x}} \, dx\)
3.5
\(\int e^x (a+b e^x)^n \, dx\)
3.6
\(\int e^{d x} (a+b e^{c+d x})^n \, dx\)
3.7
\(\int e^{c+d x} (a+b e^{c+d x})^n \, dx\)
3.8
\(\int \frac {F^x}{a+b F^x} \, dx\)
3.9
\(\int \frac {F^{d x}}{a+b F^{c+d x}} \, dx\)
3.10
\(\int \frac {F^{c+d x}}{a+b F^{c+d x}} \, dx\)
3.11
\(\int F^x (a+b F^x)^n \, dx\)
3.12
\(\int F^{d x} (a+b F^{c+d x})^n \, dx\)
3.13
\(\int F^{c+d x} (a+b F^{c+d x})^n \, dx\)
3.14
\(\int (e^x)^n (a+b (e^x)^n)^p \, dx\)
3.15
\(\int e^{n x} (a+b (e^x)^n)^p \, dx\)
3.16
\(\int (F^{e (c+d x)})^n (a+b (F^{e (c+d x)})^n)^p \, dx\)
3.17
\(\int (a+b (F^{e (c+d x)})^n)^p (G^{h (f+g x)})^{\frac {d e n \log (F)}{g h \log (G)}} \, dx\)
3.18
\(\int \frac {e^{2 x}}{a+b e^x} \, dx\)
3.19
\(\int \frac {e^{2 x}}{(a+b e^x)^2} \, dx\)
3.20
\(\int \frac {e^{2 x}}{(a+b e^x)^3} \, dx\)
3.21
\(\int \frac {e^{2 x}}{(a+b e^x)^4} \, dx\)
3.22
\(\int \frac {e^{4 x}}{a+b e^{2 x}} \, dx\)
3.23
\(\int \frac {e^{4 x}}{(a+b e^{2 x})^2} \, dx\)
3.24
\(\int \frac {e^{4 x}}{(a+b e^{2 x})^3} \, dx\)
3.25
\(\int \frac {e^{4 x}}{(a+b e^{2 x})^4} \, dx\)
3.26
\(\int \frac {e^{4 x}}{(a+b e^{2 x})^{2/3}} \, dx\)
3.27
\(\int e^{-n x} (a+b e^{n x}) \, dx\)
3.28
\(\int e^{-n x} (a+b e^{n x})^2 \, dx\)
3.29
\(\int e^{-n x} (a+b e^{n x})^3 \, dx\)
3.30
\(\int \frac {e^{-n x}}{a+b e^{n x}} \, dx\)
3.31
\(\int \frac {e^{-n x}}{(a+b e^{n x})^2} \, dx\)
3.32
\(\int \frac {e^{-n x}}{(a+b e^{n x})^3} \, dx\)
3.33
\(\int \frac {f^{a+b x}}{c+d f^{e+2 b x}} \, dx\)
3.34
\(\int \frac {f^{a+2 b x}}{c+d f^{e+2 b x}} \, dx\)
3.35
\(\int \frac {f^{a+3 b x}}{c+d f^{e+2 b x}} \, dx\)
3.36
\(\int \frac {f^{a+4 b x}}{c+d f^{e+2 b x}} \, dx\)
3.37
\(\int \frac {f^{a+5 b x}}{c+d f^{e+2 b x}} \, dx\)
3.38
\(\int \frac {e^x}{1+e^{2 x}} \, dx\)
3.39
\(\int \frac {e^x}{1-e^{2 x}} \, dx\)
3.40
\(\int \frac {e^x x}{1-e^{2 x}} \, dx\)
3.41
\(\int \frac {e^x x^2}{1-e^{2 x}} \, dx\)
3.42
\(\int \frac {e^x x^3}{1-e^{2 x}} \, dx\)
3.43
\(\int \frac {f^x}{a+b f^{2 x}} \, dx\)
3.44
\(\int \frac {f^x x}{a+b f^{2 x}} \, dx\)
3.45
\(\int \frac {f^x x^2}{a+b f^{2 x}} \, dx\)
3.46
\(\int \frac {f^x x^3}{a+b f^{2 x}} \, dx\)
3.47
\(\int \frac {f^x}{(a+b f^{2 x})^2} \, dx\)
3.48
\(\int \frac {f^x x}{(a+b f^{2 x})^2} \, dx\)
3.49
\(\int \frac {f^x x^2}{(a+b f^{2 x})^2} \, dx\)
3.50
\(\int \frac {f^x x^3}{(a+b f^{2 x})^2} \, dx\)
3.51
\(\int \frac {f^x}{(a+b f^{2 x})^3} \, dx\)
3.52
\(\int \frac {f^x x}{(a+b f^{2 x})^3} \, dx\)
3.53
\(\int \frac {f^x x^2}{(a+b f^{2 x})^3} \, dx\)
3.54
\(\int \frac {1}{b f^{-x}+a f^x} \, dx\)
3.55
\(\int \frac {x}{b f^{-x}+a f^x} \, dx\)
3.56
\(\int \frac {x^2}{b f^{-x}+a f^x} \, dx\)
3.57
\(\int \frac {x^3}{b f^{-x}+a f^x} \, dx\)
3.58
\(\int \frac {1}{(b f^{-x}+a f^x)^2} \, dx\)
3.59
\(\int \frac {x}{(b f^{-x}+a f^x)^2} \, dx\)
3.60
\(\int \frac {x^2}{(b f^{-x}+a f^x)^2} \, dx\)
3.61
\(\int \frac {x^3}{(b f^{-x}+a f^x)^2} \, dx\)
3.62
\(\int \frac {1}{(b f^{-x}+a f^x)^3} \, dx\)
3.63
\(\int \frac {x}{(b f^{-x}+a f^x)^3} \, dx\)
3.64
\(\int \frac {x^2}{(b f^{-x}+a f^x)^3} \, dx\)
3.65
\(\int f^{a+b x+c x^2} g^{d+e x+f x^2} \, dx\)
3.66
\(\int F^{e (c+d x)} (a+b G^{h (f+g x)})^n \, dx\)
3.67
\(\int \frac {F^{e (c+d x)} H^{t (r+s x)}}{a+b F^{e (c+d x)}} \, dx\)
3.68
\(\int \frac {F^{e (f+d x)} H^{t (r+s x)}}{a+b F^{e (c+d x)}} \, dx\)
3.69
\(\int f^{a+b x^2} x^m \, dx\)
3.70
\(\int f^{a+b x^2} x^{11} \, dx\)
3.71
\(\int f^{a+b x^2} x^9 \, dx\)
3.72
\(\int f^{a+b x^2} x^7 \, dx\)
3.73
\(\int f^{a+b x^2} x^5 \, dx\)
3.74
\(\int f^{a+b x^2} x^3 \, dx\)
3.75
\(\int f^{a+b x^2} x \, dx\)
3.76
\(\int \frac {f^{a+b x^2}}{x} \, dx\)
3.77
\(\int \frac {f^{a+b x^2}}{x^3} \, dx\)
3.78
\(\int \frac {f^{a+b x^2}}{x^5} \, dx\)
3.79
\(\int \frac {f^{a+b x^2}}{x^7} \, dx\)
3.80
\(\int \frac {f^{a+b x^2}}{x^9} \, dx\)
3.81
\(\int \frac {f^{a+b x^2}}{x^{11}} \, dx\)
3.82
\(\int f^{a+b x^2} x^{12} \, dx\)
3.83
\(\int f^{a+b x^2} x^{10} \, dx\)
3.84
\(\int f^{a+b x^2} x^8 \, dx\)
3.85
\(\int f^{a+b x^2} x^6 \, dx\)
3.86
\(\int f^{a+b x^2} x^4 \, dx\)
3.87
\(\int f^{a+b x^2} x^2 \, dx\)
3.88
\(\int f^{a+b x^2} \, dx\)
3.89
\(\int \frac {f^{a+b x^2}}{x^2} \, dx\)
3.90
\(\int \frac {f^{a+b x^2}}{x^4} \, dx\)
3.91
\(\int \frac {f^{a+b x^2}}{x^6} \, dx\)
3.92
\(\int \frac {f^{a+b x^2}}{x^8} \, dx\)
3.93
\(\int \frac {f^{a+b x^2}}{x^{10}} \, dx\)
3.94
\(\int \frac {f^{a+b x^2}}{x^{12}} \, dx\)
3.95
\(\int f^{a+b x^3} x^m \, dx\)
3.96
\(\int f^{a+b x^3} x^{17} \, dx\)
3.97
\(\int f^{a+b x^3} x^{14} \, dx\)
3.98
\(\int f^{a+b x^3} x^{11} \, dx\)
3.99
\(\int f^{a+b x^3} x^8 \, dx\)
3.100
\(\int f^{a+b x^3} x^5 \, dx\)
3.101
\(\int f^{a+b x^3} x^2 \, dx\)
3.102
\(\int \frac {f^{a+b x^3}}{x} \, dx\)
3.103
\(\int \frac {f^{a+b x^3}}{x^4} \, dx\)
3.104
\(\int \frac {f^{a+b x^3}}{x^7} \, dx\)
3.105
\(\int \frac {f^{a+b x^3}}{x^{10}} \, dx\)
3.106
\(\int \frac {f^{a+b x^3}}{x^{13}} \, dx\)
3.107
\(\int \frac {f^{a+b x^3}}{x^{16}} \, dx\)
3.108
\(\int f^{a+b x^3} x^4 \, dx\)
3.109
\(\int f^{a+b x^3} x^3 \, dx\)
3.110
\(\int f^{a+b x^3} x \, dx\)
3.111
\(\int f^{a+b x^3} \, dx\)
3.112
\(\int \frac {f^{a+b x^3}}{x^2} \, dx\)
3.113
\(\int \frac {f^{a+b x^3}}{x^3} \, dx\)
3.114
\(\int e^{4 x^3} x^2 \, dx\)
3.115
\(\int f^{a+\frac {b}{x}} x^m \, dx\)
3.116
\(\int f^{a+\frac {b}{x}} x^4 \, dx\)
3.117
\(\int f^{a+\frac {b}{x}} x^3 \, dx\)
3.118
\(\int f^{a+\frac {b}{x}} x^2 \, dx\)
3.119
\(\int f^{a+\frac {b}{x}} x \, dx\)
3.120
\(\int f^{a+\frac {b}{x}} \, dx\)
3.121
\(\int \frac {f^{a+\frac {b}{x}}}{x} \, dx\)
3.122
\(\int \frac {f^{a+\frac {b}{x}}}{x^2} \, dx\)
3.123
\(\int \frac {f^{a+\frac {b}{x}}}{x^3} \, dx\)
3.124
\(\int \frac {f^{a+\frac {b}{x}}}{x^4} \, dx\)
3.125
\(\int \frac {f^{a+\frac {b}{x}}}{x^5} \, dx\)
3.126
\(\int \frac {f^{a+\frac {b}{x}}}{x^6} \, dx\)
3.127
\(\int \frac {f^{a+\frac {b}{x}}}{x^7} \, dx\)
3.128
\(\int f^{a+\frac {b}{x^2}} x^m \, dx\)
3.129
\(\int f^{a+\frac {b}{x^2}} x^9 \, dx\)
3.130
\(\int f^{a+\frac {b}{x^2}} x^7 \, dx\)
3.131
\(\int f^{a+\frac {b}{x^2}} x^5 \, dx\)
3.132
\(\int f^{a+\frac {b}{x^2}} x^3 \, dx\)
3.133
\(\int f^{a+\frac {b}{x^2}} x \, dx\)
3.134
\(\int \frac {f^{a+\frac {b}{x^2}}}{x} \, dx\)
3.135
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^3} \, dx\)
3.136
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^5} \, dx\)
3.137
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^7} \, dx\)
3.138
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^9} \, dx\)
3.139
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^{11}} \, dx\)
3.140
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^{13}} \, dx\)
3.141
\(\int f^{a+\frac {b}{x^2}} x^{10} \, dx\)
3.142
\(\int f^{a+\frac {b}{x^2}} x^8 \, dx\)
3.143
\(\int f^{a+\frac {b}{x^2}} x^6 \, dx\)
3.144
\(\int f^{a+\frac {b}{x^2}} x^4 \, dx\)
3.145
\(\int f^{a+\frac {b}{x^2}} x^2 \, dx\)
3.146
\(\int f^{a+\frac {b}{x^2}} \, dx\)
3.147
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^2} \, dx\)
3.148
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^4} \, dx\)
3.149
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^6} \, dx\)
3.150
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^8} \, dx\)
3.151
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^{10}} \, dx\)
3.152
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^{12}} \, dx\)
3.153
\(\int \frac {f^{a+\frac {b}{x^2}}}{x^{14}} \, dx\)
3.154
\(\int f^{a+\frac {b}{x^3}} x^m \, dx\)
3.155
\(\int f^{a+\frac {b}{x^3}} x^{14} \, dx\)
3.156
\(\int f^{a+\frac {b}{x^3}} x^{11} \, dx\)
3.157
\(\int f^{a+\frac {b}{x^3}} x^8 \, dx\)
3.158
\(\int f^{a+\frac {b}{x^3}} x^5 \, dx\)
3.159
\(\int f^{a+\frac {b}{x^3}} x^2 \, dx\)
3.160
\(\int \frac {f^{a+\frac {b}{x^3}}}{x} \, dx\)
3.161
\(\int \frac {f^{a+\frac {b}{x^3}}}{x^4} \, dx\)
3.162
\(\int \frac {f^{a+\frac {b}{x^3}}}{x^7} \, dx\)
3.163
\(\int \frac {f^{a+\frac {b}{x^3}}}{x^{10}} \, dx\)
3.164
\(\int \frac {f^{a+\frac {b}{x^3}}}{x^{13}} \, dx\)
3.165
\(\int \frac {f^{a+\frac {b}{x^3}}}{x^{16}} \, dx\)
3.166
\(\int \frac {f^{a+\frac {b}{x^3}}}{x^{19}} \, dx\)
3.167
\(\int f^{a+\frac {b}{x^3}} x^4 \, dx\)
3.168
\(\int f^{a+\frac {b}{x^3}} x^3 \, dx\)
3.169
\(\int f^{a+\frac {b}{x^3}} x \, dx\)
3.170
\(\int f^{a+\frac {b}{x^3}} \, dx\)
3.171
\(\int \frac {f^{a+\frac {b}{x^3}}}{x^2} \, dx\)
3.172
\(\int \frac {f^{a+\frac {b}{x^3}}}{x^3} \, dx\)
3.173
\(\int \frac {f^{a+\frac {b}{x^3}}}{x^5} \, dx\)
3.174
\(\int f^{a+b x^n} x^m \, dx\)
3.175
\(\int f^{a+b x^n} x^3 \, dx\)
3.176
\(\int f^{a+b x^n} x^2 \, dx\)
3.177
\(\int f^{a+b x^n} x \, dx\)
3.178
\(\int f^{a+b x^n} \, dx\)
3.179
\(\int \frac {f^{a+b x^n}}{x} \, dx\)
3.180
\(\int \frac {f^{a+b x^n}}{x^2} \, dx\)
3.181
\(\int \frac {f^{a+b x^n}}{x^3} \, dx\)
3.182
\(\int \frac {f^{a+b x^n}}{x^4} \, dx\)
3.183
\(\int f^{a+b x^n} x^{-1+3 n} \, dx\)
3.184
\(\int f^{a+b x^n} x^{-1+2 n} \, dx\)
3.185
\(\int f^{a+b x^n} x^{-1+n} \, dx\)
3.186
\(\int \frac {f^{a+b x^n}}{x} \, dx\)
3.187
\(\int f^{a+b x^n} x^{-1-n} \, dx\)
3.188
\(\int f^{a+b x^n} x^{-1-2 n} \, dx\)
3.189
\(\int f^{a+b x^n} x^{-1+\frac {5 n}{2}} \, dx\)
3.190
\(\int f^{a+b x^n} x^{-1+\frac {3 n}{2}} \, dx\)
3.191
\(\int f^{a+b x^n} x^{-1+\frac {n}{2}} \, dx\)
3.192
\(\int f^{a+b x^n} x^{-1-\frac {n}{2}} \, dx\)
3.193
\(\int f^{a+b x^n} x^{-1-\frac {3 n}{2}} \, dx\)
3.194
\(\int e^{-0.1 x} x \, dx\)
3.195
\(\int f^{c (a+b x)^2} x^3 \, dx\)
3.196
\(\int f^{c (a+b x)^2} x^2 \, dx\)
3.197
\(\int f^{c (a+b x)^2} x \, dx\)
3.198
\(\int f^{c (a+b x)^2} \, dx\)
3.199
\(\int \frac {f^{c (a+b x)^2}}{x} \, dx\)
3.200
\(\int \frac {f^{c (a+b x)^2}}{x^2} \, dx\)
3.201
\(\int \frac {f^{c (a+b x)^2}}{x^3} \, dx\)
3.202
\(\int f^{c (a+b x)^3} x^2 \, dx\)
3.203
\(\int f^{c (a+b x)^3} x \, dx\)
3.204
\(\int f^{c (a+b x)^3} \, dx\)
3.205
\(\int \frac {f^{c (a+b x)^3}}{x} \, dx\)
3.206
\(\int \frac {f^{c (a+b x)^3}}{x^2} \, dx\)
3.207
\(\int \frac {f^{c (a+b x)^3}}{x^3} \, dx\)
3.208
\(\int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x^4 \, dx\)
3.209
\(\int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x^3 \, dx\)
3.210
\(\int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x^2 \, dx\)
3.211
\(\int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x \, dx\)
3.212
\(\int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} \, dx\)
3.213
\(\int \frac {e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3}}{x} \, dx\)
3.214
\(\int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x^m \, dx\)
3.215
\(\int e^{\sqrt {5+3 x}} \, dx\)
3.216
\(\int f^{\frac {c}{a+b x}} x^4 \, dx\)
3.217
\(\int f^{\frac {c}{a+b x}} x^3 \, dx\)
3.218
\(\int f^{\frac {c}{a+b x}} x^2 \, dx\)
3.219
\(\int f^{\frac {c}{a+b x}} x \, dx\)
3.220
\(\int f^{\frac {c}{a+b x}} \, dx\)
3.221
\(\int \frac {f^{\frac {c}{a+b x}}}{x} \, dx\)
3.222
\(\int \frac {f^{\frac {c}{a+b x}}}{x^2} \, dx\)
3.223
\(\int \frac {f^{\frac {c}{a+b x}}}{x^3} \, dx\)
3.224
\(\int f^{\frac {c}{(a+b x)^2}} x^4 \, dx\)
3.225
\(\int f^{\frac {c}{(a+b x)^2}} x^3 \, dx\)
3.226
\(\int f^{\frac {c}{(a+b x)^2}} x^2 \, dx\)
3.227
\(\int f^{\frac {c}{(a+b x)^2}} x \, dx\)
3.228
\(\int f^{\frac {c}{(a+b x)^2}} \, dx\)
3.229
\(\int \frac {f^{\frac {c}{(a+b x)^2}}}{x} \, dx\)
3.230
\(\int \frac {f^{\frac {c}{(a+b x)^2}}}{x^2} \, dx\)
3.231
\(\int \frac {f^{\frac {c}{(a+b x)^2}}}{x^3} \, dx\)
3.232
\(\int f^{\frac {c}{(a+b x)^3}} x^4 \, dx\)
3.233
\(\int f^{\frac {c}{(a+b x)^3}} x^3 \, dx\)
3.234
\(\int f^{\frac {c}{(a+b x)^3}} x^2 \, dx\)
3.235
\(\int f^{\frac {c}{(a+b x)^3}} x \, dx\)
3.236
\(\int f^{\frac {c}{(a+b x)^3}} \, dx\)
3.237
\(\int \frac {f^{\frac {c}{(a+b x)^3}}}{x} \, dx\)
3.238
\(\int \frac {f^{\frac {c}{(a+b x)^3}}}{x^2} \, dx\)
3.239
\(\int \frac {f^{\frac {c}{(a+b x)^3}}}{x^3} \, dx\)
3.240
\(\int f^{c (a+b x)^3} x^m \, dx\)
3.241
\(\int f^{c (a+b x)^2} x^m \, dx\)
3.242
\(\int f^{c (a+b x)} x^m \, dx\)
3.243
\(\int f^{\frac {c}{a+b x}} x^m \, dx\)
3.244
\(\int f^{\frac {c}{(a+b x)^2}} x^m \, dx\)
3.245
\(\int f^{\frac {c}{(a+b x)^3}} x^m \, dx\)
3.246
\(\int f^{c (a+b x)^n} x^m \, dx\)
3.247
\(\int f^{c (a+b x)^n} x^3 \, dx\)
3.248
\(\int f^{c (a+b x)^n} x^2 \, dx\)
3.249
\(\int f^{c (a+b x)^n} x \, dx\)
3.250
\(\int f^{c (a+b x)^n} \, dx\)
3.251
\(\int \frac {f^{c (a+b x)^n}}{x} \, dx\)
3.252
\(\int \frac {f^{c (a+b x)^n}}{x^2} \, dx\)
3.253
\(\int \frac {f^{c (a+b x)^n}}{x^3} \, dx\)
3.254
\(\int F^{a+b (c+d x)^2} (c+d x)^m \, dx\)
3.255
\(\int F^{a+b (c+d x)^2} (c+d x)^{11} \, dx\)
3.256
\(\int F^{a+b (c+d x)^2} (c+d x)^9 \, dx\)
3.257
\(\int F^{a+b (c+d x)^2} (c+d x)^7 \, dx\)
3.258
\(\int F^{a+b (c+d x)^2} (c+d x)^5 \, dx\)
3.259
\(\int F^{a+b (c+d x)^2} (c+d x)^3 \, dx\)
3.260
\(\int F^{a+b (c+d x)^2} (c+d x) \, dx\)
3.261
\(\int \frac {F^{a+b (c+d x)^2}}{c+d x} \, dx\)
3.262
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^3} \, dx\)
3.263
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^5} \, dx\)
3.264
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^7} \, dx\)
3.265
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^9} \, dx\)
3.266
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^{11}} \, dx\)
3.267
\(\int F^{a+b (c+d x)^2} (c+d x)^{12} \, dx\)
3.268
\(\int F^{a+b (c+d x)^2} (c+d x)^{10} \, dx\)
3.269
\(\int F^{a+b (c+d x)^2} (c+d x)^8 \, dx\)
3.270
\(\int F^{a+b (c+d x)^2} (c+d x)^6 \, dx\)
3.271
\(\int F^{a+b (c+d x)^2} (c+d x)^4 \, dx\)
3.272
\(\int F^{a+b (c+d x)^2} (c+d x)^2 \, dx\)
3.273
\(\int F^{a+b (c+d x)^2} \, dx\)
3.274
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^2} \, dx\)
3.275
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^4} \, dx\)
3.276
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^6} \, dx\)
3.277
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^8} \, dx\)
3.278
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^{10}} \, dx\)
3.279
\(\int \frac {F^{a+b (c+d x)^2}}{(c+d x)^{12}} \, dx\)
3.280
\(\int F^{a+b (c+d x)^3} (c+d x)^m \, dx\)
3.281
\(\int F^{a+b (c+d x)^3} (c+d x)^{17} \, dx\)
3.282
\(\int F^{a+b (c+d x)^3} (c+d x)^{14} \, dx\)
3.283
\(\int F^{a+b (c+d x)^3} (c+d x)^{11} \, dx\)
3.284
\(\int F^{a+b (c+d x)^3} (c+d x)^8 \, dx\)
3.285
\(\int F^{a+b (c+d x)^3} (c+d x)^5 \, dx\)
3.286
\(\int F^{a+b (c+d x)^3} (c+d x)^2 \, dx\)
3.287
\(\int \frac {F^{a+b (c+d x)^3}}{c+d x} \, dx\)
3.288
\(\int \frac {F^{a+b (c+d x)^3}}{(c+d x)^4} \, dx\)
3.289
\(\int \frac {F^{a+b (c+d x)^3}}{(c+d x)^7} \, dx\)
3.290
\(\int \frac {F^{a+b (c+d x)^3}}{(c+d x)^{10}} \, dx\)
3.291
\(\int \frac {F^{a+b (c+d x)^3}}{(c+d x)^{13}} \, dx\)
3.292
\(\int \frac {F^{a+b (c+d x)^3}}{(c+d x)^{16}} \, dx\)
3.293
\(\int F^{a+b (c+d x)^3} (c+d x)^3 \, dx\)
3.294
\(\int F^{a+b (c+d x)^3} (c+d x) \, dx\)
3.295
\(\int F^{a+b (c+d x)^3} \, dx\)
3.296
\(\int \frac {F^{a+b (c+d x)^3}}{(c+d x)^2} \, dx\)
3.297
\(\int \frac {F^{a+b (c+d x)^3}}{(c+d x)^3} \, dx\)
3.298
\(\int \frac {F^{a+b (c+d x)^3}}{(c+d x)^5} \, dx\)
3.299
\(\int f^{a+b \sqrt {c+d x}} \, dx\)
3.300
\(\int f^{a+b \sqrt [3]{c+d x}} \, dx\)
3.301
\(\int F^{a+\frac {b}{c+d x}} (c+d x)^m \, dx\)
3.302
\(\int F^{a+\frac {b}{c+d x}} (c+d x)^4 \, dx\)
3.303
\(\int F^{a+\frac {b}{c+d x}} (c+d x)^3 \, dx\)
3.304
\(\int F^{a+\frac {b}{c+d x}} (c+d x)^2 \, dx\)
3.305
\(\int F^{a+\frac {b}{c+d x}} (c+d x) \, dx\)
3.306
\(\int F^{a+\frac {b}{c+d x}} \, dx\)
3.307
\(\int \frac {F^{a+\frac {b}{c+d x}}}{c+d x} \, dx\)
3.308
\(\int \frac {F^{a+\frac {b}{c+d x}}}{(c+d x)^2} \, dx\)
3.309
\(\int \frac {F^{a+\frac {b}{c+d x}}}{(c+d x)^3} \, dx\)
3.310
\(\int \frac {F^{a+\frac {b}{c+d x}}}{(c+d x)^4} \, dx\)
3.311
\(\int \frac {F^{a+\frac {b}{c+d x}}}{(c+d x)^5} \, dx\)
3.312
\(\int \frac {F^{a+\frac {b}{c+d x}}}{(c+d x)^6} \, dx\)
3.313
\(\int \frac {F^{a+\frac {b}{c+d x}}}{(c+d x)^7} \, dx\)
3.314
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x)^m \, dx\)
3.315
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x)^9 \, dx\)
3.316
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x)^7 \, dx\)
3.317
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x)^5 \, dx\)
3.318
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x)^3 \, dx\)
3.319
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x) \, dx\)
3.320
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{c+d x} \, dx\)
3.321
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^3} \, dx\)
3.322
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^5} \, dx\)
3.323
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^7} \, dx\)
3.324
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^9} \, dx\)
3.325
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^{11}} \, dx\)
3.326
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^{13}} \, dx\)
3.327
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x)^{10} \, dx\)
3.328
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x)^8 \, dx\)
3.329
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x)^6 \, dx\)
3.330
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x)^4 \, dx\)
3.331
\(\int F^{a+\frac {b}{(c+d x)^2}} (c+d x)^2 \, dx\)
3.332
\(\int F^{a+\frac {b}{(c+d x)^2}} \, dx\)
3.333
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^2} \, dx\)
3.334
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^4} \, dx\)
3.335
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^6} \, dx\)
3.336
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^8} \, dx\)
3.337
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^{10}} \, dx\)
3.338
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^{12}} \, dx\)
3.339
\(\int \frac {F^{a+\frac {b}{(c+d x)^2}}}{(c+d x)^{14}} \, dx\)
3.340
\(\int F^{a+\frac {b}{(c+d x)^3}} (c+d x)^m \, dx\)
3.341
\(\int F^{a+\frac {b}{(c+d x)^3}} (c+d x)^{14} \, dx\)
3.342
\(\int F^{a+\frac {b}{(c+d x)^3}} (c+d x)^{11} \, dx\)
3.343
\(\int F^{a+\frac {b}{(c+d x)^3}} (c+d x)^8 \, dx\)
3.344
\(\int F^{a+\frac {b}{(c+d x)^3}} (c+d x)^5 \, dx\)
3.345
\(\int F^{a+\frac {b}{(c+d x)^3}} (c+d x)^2 \, dx\)
3.346
\(\int \frac {F^{a+\frac {b}{(c+d x)^3}}}{c+d x} \, dx\)
3.347
\(\int \frac {F^{a+\frac {b}{(c+d x)^3}}}{(c+d x)^4} \, dx\)
3.348
\(\int \frac {F^{a+\frac {b}{(c+d x)^3}}}{(c+d x)^7} \, dx\)
3.349
\(\int \frac {F^{a+\frac {b}{(c+d x)^3}}}{(c+d x)^{10}} \, dx\)
3.350
\(\int \frac {F^{a+\frac {b}{(c+d x)^3}}}{(c+d x)^{13}} \, dx\)
3.351
\(\int \frac {F^{a+\frac {b}{(c+d x)^3}}}{(c+d x)^{16}} \, dx\)
3.352
\(\int \frac {F^{a+\frac {b}{(c+d x)^3}}}{(c+d x)^{19}} \, dx\)
3.353
\(\int F^{a+\frac {b}{(c+d x)^3}} (c+d x)^3 \, dx\)
3.354
\(\int F^{a+\frac {b}{(c+d x)^3}} (c+d x) \, dx\)
3.355
\(\int F^{a+\frac {b}{(c+d x)^3}} \, dx\)
3.356
\(\int \frac {F^{a+\frac {b}{(c+d x)^3}}}{(c+d x)^2} \, dx\)
3.357
\(\int \frac {F^{a+\frac {b}{(c+d x)^3}}}{(c+d x)^3} \, dx\)
3.358
\(\int \frac {F^{a+\frac {b}{(c+d x)^3}}}{(c+d x)^5} \, dx\)
3.359
\(\int F^{a+b (c+d x)^n} (c+d x)^m \, dx\)
3.360
\(\int F^{a+b (c+d x)^n} (c+d x)^3 \, dx\)
3.361
\(\int F^{a+b (c+d x)^n} (c+d x)^2 \, dx\)
3.362
\(\int F^{a+b (c+d x)^n} (c+d x) \, dx\)
3.363
\(\int F^{a+b (c+d x)^n} \, dx\)
3.364
\(\int \frac {F^{a+b (c+d x)^n}}{c+d x} \, dx\)
3.365
\(\int \frac {F^{a+b (c+d x)^n}}{(c+d x)^2} \, dx\)
3.366
\(\int \frac {F^{a+b (c+d x)^n}}{(c+d x)^3} \, dx\)
3.367
\(\int \frac {F^{a+b (c+d x)^n}}{(c+d x)^4} \, dx\)
3.368
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1+6 n} \, dx\)
3.369
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1+5 n} \, dx\)
3.370
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1+4 n} \, dx\)
3.371
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1+3 n} \, dx\)
3.372
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1+2 n} \, dx\)
3.373
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1+n} \, dx\)
3.374
\(\int \frac {F^{a+b (c+d x)^n}}{c+d x} \, dx\)
3.375
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1-n} \, dx\)
3.376
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1-2 n} \, dx\)
3.377
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1-3 n} \, dx\)
3.378
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1-4 n} \, dx\)
3.379
\(\int F^{a+b (c+d x)^n} (c+d x)^{-1-5 n} \, dx\)
3.380
\(\int F^{c (a+b x)^n} (a+b x)^{-1+\frac {n}{2}} \, dx\)
3.381
\(\int F^{-c (a+b x)^n} (a+b x)^{-1+\frac {n}{2}} \, dx\)
3.382
\(\int F^{a+b (c+d x)^2} (e+f x)^5 \, dx\)
3.383
\(\int F^{a+b (c+d x)^2} (e+f x)^4 \, dx\)
3.384
\(\int F^{a+b (c+d x)^2} (e+f x)^3 \, dx\)
3.385
\(\int F^{a+b (c+d x)^2} (e+f x)^2 \, dx\)
3.386
\(\int F^{a+b (c+d x)^2} (e+f x) \, dx\)
3.387
\(\int F^{a+b (c+d x)^2} \, dx\)
3.388
\(\int \frac {F^{a+b (c+d x)^2}}{e+f x} \, dx\)
3.389
\(\int \frac {F^{a+b (c+d x)^2}}{(e+f x)^2} \, dx\)
3.390
\(\int \frac {F^{a+b (c+d x)^2}}{(e+f x)^3} \, dx\)
3.391
\(\int e^{e (c+d x)^3} (a+b x)^3 \, dx\)
3.392
\(\int e^{e (c+d x)^3} (a+b x)^2 \, dx\)
3.393
\(\int e^{e (c+d x)^3} (a+b x) \, dx\)
3.394
\(\int e^{e (c+d x)^3} \, dx\)
3.395
\(\int \frac {e^{e (c+d x)^3}}{a+b x} \, dx\)
3.396
\(\int \frac {e^{e (c+d x)^3}}{(a+b x)^2} \, dx\)
3.397
\(\int \frac {F^{a+\frac {b}{c+d x}}}{e+f x} \, dx\)
3.398
\(\int \frac {F^{a+\frac {b}{c+d x}}}{(e+f x)^2} \, dx\)
3.399
\(\int \frac {F^{a+\frac {b}{c+d x}}}{(e+f x)^3} \, dx\)
3.400
\(\int \frac {F^{a+\frac {b}{c+d x}}}{(e+f x)^4} \, dx\)
3.401
\(\int e^{\frac {e}{c+d x}} (a+b x)^4 \, dx\)
3.402
\(\int e^{\frac {e}{c+d x}} (a+b x)^3 \, dx\)
3.403
\(\int e^{\frac {e}{c+d x}} (a+b x)^2 \, dx\)
3.404
\(\int e^{\frac {e}{c+d x}} (a+b x) \, dx\)
3.405
\(\int e^{\frac {e}{c+d x}} \, dx\)
3.406
\(\int \frac {e^{\frac {e}{c+d x}}}{a+b x} \, dx\)
3.407
\(\int \frac {e^{\frac {e}{c+d x}}}{(a+b x)^2} \, dx\)
3.408
\(\int \frac {e^{\frac {e}{c+d x}}}{(a+b x)^3} \, dx\)
3.409
\(\int e^{\frac {e}{(c+d x)^2}} (a+b x)^3 \, dx\)
3.410
\(\int e^{\frac {e}{(c+d x)^2}} (a+b x)^2 \, dx\)
3.411
\(\int e^{\frac {e}{(c+d x)^2}} (a+b x) \, dx\)
3.412
\(\int e^{\frac {e}{(c+d x)^2}} \, dx\)
3.413
\(\int \frac {e^{\frac {e}{(c+d x)^2}}}{a+b x} \, dx\)
3.414
\(\int \frac {e^{\frac {e}{(c+d x)^2}}}{(a+b x)^2} \, dx\)
3.415
\(\int \frac {e^{\frac {e}{(c+d x)^2}}}{(a+b x)^3} \, dx\)
3.416
\(\int e^{\frac {e}{(c+d x)^3}} (a+b x)^3 \, dx\)
3.417
\(\int e^{\frac {e}{(c+d x)^3}} (a+b x)^2 \, dx\)
3.418
\(\int e^{\frac {e}{(c+d x)^3}} (a+b x) \, dx\)
3.419
\(\int e^{\frac {e}{(c+d x)^3}} \, dx\)
3.420
\(\int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx\)
3.421
\(\int \frac {e^{\frac {e}{(c+d x)^3}}}{(a+b x)^2} \, dx\)
3.422
\(\int \frac {F^{e+\frac {f (a+b x)}{c+d x}}}{g+h x} \, dx\)
3.423
\(\int \frac {F^{e+\frac {f (a+b x)}{c+d x}}}{(g+h x)^2} \, dx\)
3.424
\(\int \frac {F^{e+\frac {f (a+b x)}{c+d x}}}{(g+h x)^3} \, dx\)
3.425
\(\int \frac {F^{e+\frac {f (a+b x)}{c+d x}}}{(g+h x)^4} \, dx\)
3.426
\(\int f^{a+b x+c x^2} x^3 \, dx\)
3.427
\(\int f^{a+b x+c x^2} x^2 \, dx\)
3.428
\(\int f^{a+b x+c x^2} x \, dx\)
3.429
\(\int f^{a+b x+c x^2} \, dx\)
3.430
\(\int \frac {f^{a+b x+c x^2}}{x} \, dx\)
3.431
\(\int \frac {f^{a+b x+c x^2}}{x^2} \, dx\)
3.432
\(\int e^{a+b x-c x^2} x^3 \, dx\)
3.433
\(\int e^{a+b x-c x^2} x^2 \, dx\)
3.434
\(\int e^{a+b x-c x^2} x \, dx\)
3.435
\(\int e^{a+b x-c x^2} \, dx\)
3.436
\(\int \frac {e^{a+b x-c x^2}}{x} \, dx\)
3.437
\(\int \frac {e^{a+b x-c x^2}}{x^2} \, dx\)
3.438
\(\int e^{(a+b x) (c+d x)} x^3 \, dx\)
3.439
\(\int e^{(a+b x) (c+d x)} x^2 \, dx\)
3.440
\(\int e^{(a+b x) (c+d x)} x \, dx\)
3.441
\(\int e^{(a+b x) (c+d x)} \, dx\)
3.442
\(\int \frac {e^{(a+b x) (c+d x)}}{x} \, dx\)
3.443
\(\int \frac {e^{(a+b x) (c+d x)}}{x^2} \, dx\)
3.444
\(\int f^{a+b x+c x^2} (d+e x)^3 \, dx\)
3.445
\(\int f^{a+b x+c x^2} (d+e x)^2 \, dx\)
3.446
\(\int f^{a+b x+c x^2} (d+e x) \, dx\)
3.447
\(\int \frac {f^{a+b x+c x^2}}{d+e x} \, dx\)
3.448
\(\int \frac {f^{a+b x+c x^2}}{(d+e x)^2} \, dx\)
3.449
\(\int \frac {f^{a+b x+c x^2}}{(d+e x)^3} \, dx\)
3.450
\(\int f^{a+b x+c x^2} (b+2 c x)^3 \, dx\)
3.451
\(\int f^{a+b x+c x^2} (b+2 c x)^2 \, dx\)
3.452
\(\int f^{a+b x+c x^2} (b+2 c x) \, dx\)
3.453
\(\int \frac {f^{a+b x+c x^2}}{b+2 c x} \, dx\)
3.454
\(\int \frac {f^{a+b x+c x^2}}{(b+2 c x)^2} \, dx\)
3.455
\(\int \frac {f^{a+b x+c x^2}}{(b+2 c x)^3} \, dx\)
3.456
\(\int f^{b x+c x^2} (b+2 c x)^3 \, dx\)
3.457
\(\int f^{b x+c x^2} (b+2 c x)^2 \, dx\)
3.458
\(\int f^{b x+c x^2} (b+2 c x) \, dx\)
3.459
\(\int \frac {f^{b x+c x^2}}{b+2 c x} \, dx\)
3.460
\(\int \frac {f^{b x+c x^2}}{(b+2 c x)^2} \, dx\)
3.461
\(\int \frac {f^{b x+c x^2}}{(b+2 c x)^3} \, dx\)
3.462
\(\int \frac {e^{a+b x}}{x^2 (c+d x^2)} \, dx\)
3.463
\(\int \frac {e^{a+b x}}{x (c+d x^2)} \, dx\)
3.464
\(\int \frac {e^{a+b x}}{c+d x^2} \, dx\)
3.465
\(\int \frac {e^{a+b x} x}{c+d x^2} \, dx\)
3.466
\(\int \frac {e^{a+b x} x^2}{c+d x^2} \, dx\)
3.467
\(\int \frac {e^{d+e x}}{x^2 (a+b x+c x^2)} \, dx\)
3.468
\(\int \frac {e^{d+e x}}{x (a+b x+c x^2)} \, dx\)
3.469
\(\int \frac {e^{d+e x}}{a+b x+c x^2} \, dx\)
3.470
\(\int \frac {e^{d+e x} x}{a+b x+c x^2} \, dx\)
3.471
\(\int \frac {e^{d+e x} x^2}{a+b x+c x^2} \, dx\)
3.472
\(\int \frac {e^{d+e x} x^3}{a+b x+c x^2} \, dx\)
3.473
\(\int \frac {4^x}{a+2^x b} \, dx\)
3.474
\(\int \frac {2^{2 x}}{a+2^x b} \, dx\)
3.475
\(\int \frac {4^x}{a-2^x b} \, dx\)
3.476
\(\int \frac {2^{2 x}}{a-2^x b} \, dx\)
3.477
\(\int \frac {4^x}{a+2^{-x} b} \, dx\)
3.478
\(\int \frac {2^{2 x}}{a+2^{-x} b} \, dx\)
3.479
\(\int \frac {4^x}{a-2^{-x} b} \, dx\)
3.480
\(\int \frac {2^{2 x}}{a-2^{-x} b} \, dx\)
3.481
\(\int \frac {2^x}{a+4^x b} \, dx\)
3.482
\(\int \frac {2^x}{a+2^{2 x} b} \, dx\)
3.483
\(\int \frac {2^x}{a-4^x b} \, dx\)
3.484
\(\int \frac {2^x}{a-2^{2 x} b} \, dx\)
3.485
\(\int \frac {2^x}{a+4^{-x} b} \, dx\)
3.486
\(\int \frac {2^x}{a+2^{-2 x} b} \, dx\)
3.487
\(\int \frac {2^x}{a-4^{-x} b} \, dx\)
3.488
\(\int \frac {2^x}{a-2^{-2 x} b} \, dx\)
3.489
\(\int \frac {2^x}{\sqrt {a+4^x b}} \, dx\)
3.490
\(\int \frac {2^x}{\sqrt {a+2^{2 x} b}} \, dx\)
3.491
\(\int \frac {2^x}{\sqrt {a-4^x b}} \, dx\)
3.492
\(\int \frac {2^x}{\sqrt {a-2^{2 x} b}} \, dx\)
3.493
\(\int \frac {2^x}{\sqrt {a+4^{-x} b}} \, dx\)
3.494
\(\int \frac {2^x}{\sqrt {a+2^{-2 x} b}} \, dx\)
3.495
\(\int \frac {2^x}{\sqrt {a-4^{-x} b}} \, dx\)
3.496
\(\int \frac {2^x}{\sqrt {a-2^{-2 x} b}} \, dx\)
3.497
\(\int \frac {4^x}{\sqrt {a+2^x b}} \, dx\)
3.498
\(\int \frac {2^{2 x}}{\sqrt {a+2^x b}} \, dx\)
3.499
\(\int \frac {4^x}{\sqrt {a-2^x b}} \, dx\)
3.500
\(\int \frac {2^{2 x}}{\sqrt {a-2^x b}} \, dx\)
3.501
\(\int \frac {4^x}{\sqrt {a+2^{-x} b}} \, dx\)
3.502
\(\int \frac {2^{2 x}}{\sqrt {a+2^{-x} b}} \, dx\)
3.503
\(\int \frac {4^x}{\sqrt {a-2^{-x} b}} \, dx\)
3.504
\(\int \frac {2^{2 x}}{\sqrt {a-2^{-x} b}} \, dx\)
3.505
\(\int \frac {1}{1+2 e^x+e^{2 x}} \, dx\)
3.506
\(\int \frac {1}{2+3 e^x+e^{2 x}} \, dx\)
3.507
\(\int \frac {1}{-1+e^x+e^{2 x}} \, dx\)
3.508
\(\int \frac {1}{3+3 e^x+e^{2 x}} \, dx\)
3.509
\(\int \frac {1}{a+b e^x+c e^{2 x}} \, dx\)
3.510
\(\int \frac {x}{1+2 e^x+e^{2 x}} \, dx\)
3.511
\(\int \frac {x}{2+3 e^x+e^{2 x}} \, dx\)
3.512
\(\int \frac {x}{-1+e^x+e^{2 x}} \, dx\)
3.513
\(\int \frac {x}{3+3 e^x+e^{2 x}} \, dx\)
3.514
\(\int \frac {x}{a+b e^x+c e^{2 x}} \, dx\)
3.515
\(\int \frac {x^2}{1+2 e^x+e^{2 x}} \, dx\)
3.516
\(\int \frac {x^2}{2+3 e^x+e^{2 x}} \, dx\)
3.517
\(\int \frac {x^2}{-1+e^x+e^{2 x}} \, dx\)
3.518
\(\int \frac {x^2}{3+3 e^x+e^{2 x}} \, dx\)
3.519
\(\int \frac {x^2}{a+b e^x+c e^{2 x}} \, dx\)
3.520
\(\int \frac {1}{1+2 f^{c+d x}+f^{2 c+2 d x}} \, dx\)
3.521
\(\int \frac {1}{a+b f^{c+d x}+c f^{2 c+2 d x}} \, dx\)
3.522
\(\int \frac {1}{a+b f^{g+h x}+c f^{2 (g+h x)}} \, dx\)
3.523
\(\int \frac {x}{1+2 f^{c+d x}+f^{2 c+2 d x}} \, dx\)
3.524
\(\int \frac {x}{a+b f^{c+d x}+c f^{2 c+2 d x}} \, dx\)
3.525
\(\int \frac {x^2}{1+2 f^{c+d x}+f^{2 c+2 d x}} \, dx\)
3.526
\(\int \frac {x^2}{a+b f^{c+d x}+c f^{2 c+2 d x}} \, dx\)
3.527
\(\int \frac {d+e f^{g+h x}}{a+b f^{g+h x}+c f^{2 g+2 h x}} \, dx\)
3.528
\(\int \frac {d+e f^{g+h x}}{a+b f^{g+h x}+c f^{2 (g+h x)}} \, dx\)
3.529
\(\int \frac {1}{2+e^{-x}+e^x} \, dx\)
3.530
\(\int \frac {x}{2+e^{-x}+e^x} \, dx\)
3.531
\(\int \frac {x^2}{2+e^{-x}+e^x} \, dx\)
3.532
\(\int \frac {1}{2+f^{-c-d x}+f^{c+d x}} \, dx\)
3.533
\(\int \frac {x}{2+f^{-c-d x}+f^{c+d x}} \, dx\)
3.534
\(\int \frac {x^2}{2+f^{-c-d x}+f^{c+d x}} \, dx\)
3.535
\(\int \frac {1}{2+3^{-x}+3^x} \, dx\)
3.536
\(\int \frac {1}{1-e^{-x}+2 e^x} \, dx\)
3.537
\(\int \frac {1}{a+b e^{-x}+c e^x} \, dx\)
3.538
\(\int \frac {x}{a+b e^{-x}+c e^x} \, dx\)
3.539
\(\int \frac {x^2}{a+b e^{-x}+c e^x} \, dx\)
3.540
\(\int \frac {1}{a+b f^{-c-d x}+c f^{c+d x}} \, dx\)
3.541
\(\int \frac {x}{a+b f^{-c-d x}+c f^{c+d x}} \, dx\)
3.542
\(\int \frac {x^2}{a+b f^{-c-d x}+c f^{c+d x}} \, dx\)
3.543
\(\int \frac {(a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {f+g x}}})^n}{d f+(e f+d g) x+e g x^2} \, dx\)
3.544
\(\int \frac {(a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {f+g x}}})^3}{d f+(e f+d g) x+e g x^2} \, dx\)
3.545
\(\int \frac {(a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {f+g x}}})^2}{d f+(e f+d g) x+e g x^2} \, dx\)
3.546
\(\int \frac {a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {f+g x}}}}{d f+(e f+d g) x+e g x^2} \, dx\)
3.547
\(\int \frac {1}{d f+(e f+d g) x+e g x^2} \, dx\)
3.548
\(\int \frac {1}{(a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {f+g x}}}) (d f+(e f+d g) x+e g x^2)} \, dx\)
3.549
\(\int \frac {1}{(a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {f+g x}}})^2 (d f+(e f+d g) x+e g x^2)} \, dx\)
3.550
\(\int \frac {(a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {d f-e f x}}})^n}{d^2-e^2 x^2} \, dx\)
3.551
\(\int \frac {(a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {d f-e f x}}})^3}{d^2-e^2 x^2} \, dx\)
3.552
\(\int \frac {(a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {d f-e f x}}})^2}{d^2-e^2 x^2} \, dx\)
3.553
\(\int \frac {a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {d f-e f x}}}}{d^2-e^2 x^2} \, dx\)
3.554
\(\int \frac {1}{d^2-e^2 x^2} \, dx\)
3.555
\(\int \frac {1}{(a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {d f-e f x}}}) (d^2-e^2 x^2)} \, dx\)
3.556
\(\int \frac {1}{(a+b F^{\frac {c \sqrt {d+e x}}{\sqrt {d f-e f x}}})^2 (d^2-e^2 x^2)} \, dx\)
3.557
\(\int \frac {(F^{\frac {\sqrt {1-a x}}{\sqrt {1+a x}}})^n}{1-a^2 x^2} \, dx\)
3.558
\(\int \frac {F^{\frac {3 \sqrt {1-a x}}{\sqrt {1+a x}}}}{1-a^2 x^2} \, dx\)
3.559
\(\int \frac {F^{\frac {2 \sqrt {1-a x}}{\sqrt {1+a x}}}}{1-a^2 x^2} \, dx\)
3.560
\(\int \frac {F^{\frac {\sqrt {1-a x}}{\sqrt {1+a x}}}}{1-a^2 x^2} \, dx\)
3.561
\(\int \frac {F^{-\frac {\sqrt {1-a x}}{\sqrt {1+a x}}}}{1-a^2 x^2} \, dx\)
3.562
\(\int \frac {F^{-\frac {2 \sqrt {1-a x}}{\sqrt {1+a x}}}}{1-a^2 x^2} \, dx\)
3.563
\(\int a^x b^x x^2 \, dx\)
3.564
\(\int a^x b^x x \, dx\)
3.565
\(\int a^x b^x \, dx\)
3.566
\(\int \frac {a^x b^x}{x} \, dx\)
3.567
\(\int \frac {a^x b^x}{x^2} \, dx\)
3.568
\(\int \frac {a^x b^x}{x^3} \, dx\)
3.569
\(\int a^x b^x c^x \, dx\)
3.570
\(\int a^x b^{-x} \, dx\)
3.571
\(\int a^x b^{-x} x^2 \, dx\)
3.572
\(\int \frac {(d+e e^{h+i x}) (f+g x)^3}{a+b e^{h+i x}+c e^{2 h+2 i x}} \, dx\)
3.573
\(\int \frac {(d+e e^{h+i x}) (f+g x)^2}{a+b e^{h+i x}+c e^{2 h+2 i x}} \, dx\)
3.574
\(\int \frac {(d+e e^{h+i x}) (f+g x)}{a+b e^{h+i x}+c e^{2 h+2 i x}} \, dx\)
3.575
\(\int \frac {d+e e^{h+i x}}{a+b e^{h+i x}+c e^{2 h+2 i x}} \, dx\)
3.576
\(\int \frac {d+e e^{h+i x}}{(a+b e^{h+i x}+c e^{2 h+2 i x}) (f+g x)} \, dx\)
3.577
\(\int \frac {d+e e^{h+i x}}{(a+b e^{h+i x}+c e^{2 h+2 i x}) (f+g x)^2} \, dx\)
3.578
\(\int \frac {(b e-a e e^{c+d x}) x}{b e-2 a e e^{c+d x}-b e e^{2 (c+d x)}} \, dx\)
3.579
\(\int F^{a+b \log (c+d x^n)} x^2 \, dx\)
3.580
\(\int F^{a+b \log (c+d x^n)} x \, dx\)
3.581
\(\int F^{a+b \log (c+d x^n)} \, dx\)
3.582
\(\int \frac {F^{a+b \log (c+d x^n)}}{x} \, dx\)
3.583
\(\int \frac {F^{a+b \log (c+d x^n)}}{x^2} \, dx\)
3.584
\(\int \frac {F^{a+b \log (c+d x^n)}}{x^3} \, dx\)
3.585
\(\int F^{a+b \log (c+d x^n)} (d x)^m \, dx\)
3.586
\(\int e^{\log ^2((d+e x)^n)} (d+e x)^m \, dx\)
3.587
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (d g+e g x)^m \, dx\)
3.588
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (d g+e g x)^2 \, dx\)
3.589
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (d g+e g x) \, dx\)
3.590
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} \, dx\)
3.591
\(\int \frac {F^{f (a+b \log ^2(c (d+e x)^n))}}{d g+e g x} \, dx\)
3.592
\(\int \frac {F^{f (a+b \log ^2(c (d+e x)^n))}}{(d g+e g x)^2} \, dx\)
3.593
\(\int \frac {F^{f (a+b \log ^2(c (d+e x)^n))}}{(d g+e g x)^3} \, dx\)
3.594
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (g+h x)^m \, dx\)
3.595
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (g+h x)^3 \, dx\)
3.596
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (g+h x)^2 \, dx\)
3.597
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} (g+h x) \, dx\)
3.598
\(\int F^{f (a+b \log ^2(c (d+e x)^n))} \, dx\)
3.599
\(\int \frac {F^{f (a+b \log ^2(c (d+e x)^n))}}{g+h x} \, dx\)
3.600
\(\int \frac {F^{f (a+b \log ^2(c (d+e x)^n))}}{(g+h x)^2} \, dx\)
3.601
\(\int \frac {F^{f (a+b \log ^2(c (d+e x)^n))}}{(g+h x)^3} \, dx\)
3.602
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x)^m \, dx\)
3.603
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x)^2 \, dx\)
3.604
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (d g+e g x) \, dx\)
3.605
\(\int F^{f (a+b \log (c (d+e x)^n))^2} \, dx\)
3.606
\(\int \frac {F^{f (a+b \log (c (d+e x)^n))^2}}{d g+e g x} \, dx\)
3.607
\(\int \frac {F^{f (a+b \log (c (d+e x)^n))^2}}{(d g+e g x)^2} \, dx\)
3.608
\(\int \frac {F^{f (a+b \log (c (d+e x)^n))^2}}{(d g+e g x)^3} \, dx\)
3.609
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^m \, dx\)
3.610
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^3 \, dx\)
3.611
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x)^2 \, dx\)
3.612
\(\int F^{f (a+b \log (c (d+e x)^n))^2} (g+h x) \, dx\)
3.613
\(\int F^{f (a+b \log (c (d+e x)^n))^2} \, dx\)
3.614
\(\int \frac {F^{f (a+b \log (c (d+e x)^n))^2}}{g+h x} \, dx\)
3.615
\(\int \frac {F^{f (a+b \log (c (d+e x)^n))^2}}{(g+h x)^2} \, dx\)
3.616
\(\int \frac {F^{f (a+b \log (c (d+e x)^n))^2}}{(g+h x)^3} \, dx\)
3.617
\(\int F^{a+b x+c x^3} (b+3 c x^2) \, dx\)
3.618
\(\int \frac {F^{\frac {1}{a+b x+c x^2}} (b+2 c x)}{(a+b x+c x^2)^2} \, dx\)
3.619
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^m \, dx\)
3.620
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^3 \, dx\)
3.621
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^2 \, dx\)
3.622
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2) \, dx\)
3.623
\(\int e^{a+b x+c x^2} (b+2 c x) \, dx\)
3.624
\(\int \frac {e^{a+b x+c x^2} (b+2 c x)}{a+b x+c x^2} \, dx\)
3.625
\(\int \frac {e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^2} \, dx\)
3.626
\(\int \frac {e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^3} \, dx\)
3.627
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{7/2} \, dx\)
3.628
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{5/2} \, dx\)
3.629
\(\int e^{a+b x+c x^2} (b+2 c x) (a+b x+c x^2)^{3/2} \, dx\)
3.630
\(\int e^{a+b x+c x^2} (b+2 c x) \sqrt {a+b x+c x^2} \, dx\)
3.631
\(\int \frac {e^{a+b x+c x^2} (b+2 c x)}{\sqrt {a+b x+c x^2}} \, dx\)
3.632
\(\int \frac {e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{3/2}} \, dx\)
3.633
\(\int \frac {e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{5/2}} \, dx\)
3.634
\(\int \frac {e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{7/2}} \, dx\)
3.635
\(\int \frac {e^{a+b x+c x^2} (b+2 c x)}{(a+b x+c x^2)^{9/2}} \, dx\)
3.636
\(\int \frac {e^{-x}}{\sqrt {1-e^{-2 x}}} \, dx\)
3.637
\(\int \frac {e^x}{4+e^{2 x}} \, dx\)
3.638
\(\int \frac {e^x}{1-e^{2 x}} \, dx\)
3.639
\(\int \frac {e^x}{3-4 e^{2 x}} \, dx\)
3.640
\(\int e^x \sqrt {3-4 e^{2 x}} \, dx\)
3.641
\(\int e^{x^2} x^3 \, dx\)
3.642
\(\int e^x \sqrt {1-e^{2 x}} \, dx\)
3.643
\(\int \frac {e^x}{\sqrt {1+e^x+e^{2 x}}} \, dx\)
3.644
\(\int \frac {e^x}{-4+e^{2 x}} \, dx\)
3.645
\(\int e^{2-x^2} x \, dx\)
3.646
\(\int (e^x-x^e) \, dx\)
3.647
\(\int \frac {-1+e^{2 x}}{3+e^{2 x}} \, dx\)
3.648
\(\int \frac {e^x}{\sqrt {1-e^{2 x}}} \, dx\)
3.649
\(\int \frac {e^{2 x}}{1+e^{4 x}} \, dx\)
3.650
\(\int \frac {1}{-3 e^x+e^{2 x}} \, dx\)
3.651
\(\int \frac {e^x (-2+e^x)}{1+e^x} \, dx\)
3.652
\(\int \frac {e^x}{-1+e^{2 x}} \, dx\)
3.653
\(\int \frac {e^x}{1+e^{2 x}} \, dx\)
3.654
\(\int \frac {e^{-x}+e^x}{-e^{-x}+e^x} \, dx\)
3.655
\(\int \frac {-e^{-x}+e^x}{e^{-x}+e^x} \, dx\)
3.656
\(\int \frac {e^{-2 x}+e^{2 x}}{-e^{-2 x}+e^{2 x}} \, dx\)
3.657
\(\int \frac {e^x}{\sqrt {1+e^{2 x}}} \, dx\)
3.658
\(\int \frac {e^{\sqrt {4+x}}}{\sqrt {4+x}} \, dx\)
3.659
\(\int \frac {x}{\sqrt {-1+e^{2 x^2}}} \, dx\)
3.660
\(\int e^x \sqrt {9+e^{2 x}} \, dx\)
3.661
\(\int e^x \sqrt {1+e^{2 x}} \, dx\)
3.662
\(\int \frac {e^{x^2} x}{1+e^{2 x^2}} \, dx\)
3.663
\(\int e^{x^{3/2}} x^2 \, dx\)
3.664
\(\int \frac {e^x}{\sqrt {-3+e^{2 x}}} \, dx\)
3.665
\(\int \frac {e^x}{16-e^{2 x}} \, dx\)
3.666
\(\int \frac {e^{5 x}}{1+e^{10 x}} \, dx\)
3.667
\(\int \frac {e^{4 x}}{\sqrt {16+e^{8 x}}} \, dx\)
3.668
\(\int e^{4 x^3} x^2 \cos (7 x^3) \, dx\)
3.669
\(\int e^{1+x^2} x \, dx\)
3.670
\(\int e^{1+x^3} x^2 \, dx\)
3.671
\(\int \frac {e^{\sqrt {x}}}{\sqrt {x}} \, dx\)
3.672
\(\int \frac {e^{\sqrt [3]{x}}}{x^{2/3}} \, dx\)
3.673
\(\int e^{3 x} (-8+2 x^3+x^5) \, dx\)
3.674
\(\int (e^x+x)^2 \, dx\)
3.675
\(\int e^{-4 x} (e^x+e^{2 x}+e^{3 x}) \, dx\)
3.676
\(\int \frac {e^x}{1+2 e^x+e^{2 x}} \, dx\)
3.677
\(\int e^{-x} \cos (3 x) \, dx\)
3.678
\(\int \frac {e^{2 x}}{2+3 e^x+e^{2 x}} \, dx\)
3.679
\(\int \frac {e^{2 x}}{1+e^x} \, dx\)
3.680
\(\int e^{3 x} \cos (5 x) \, dx\)
3.681
\(\int e^x \text {sech}(e^x) \, dx\)
3.682
\(\int \frac {e^{-x}}{1+2 e^x} \, dx\)
3.683
\(\int e^x \cos (4+3 x) \, dx\)
3.684
\(\int e^x \sec ^3(1-e^x) \, dx\)
3.685
\(\int (e^{-x}+e^x) x \, dx\)
3.686
\(\int \frac {e^x}{2+3 e^x+e^{2 x}} \, dx\)
3.687
\(\int \frac {e^{2 x}}{\sqrt [3]{1+e^x}} \, dx\)
3.688
\(\int \frac {e^{2 x}}{\sqrt [4]{1+e^x}} \, dx\)
3.689
\(\int \frac {-e^x+2 e^{2 x}}{\sqrt {-1-6 e^x+3 e^{2 x}}} \, dx\)
3.690
\(\int e^x (-5 x+x^2) \, dx\)
3.691
\(\int e^{3 x} (-x+x^2) \, dx\)
3.692
\(\int e^{x^x} x^{2 x} (1+\log (x)) \, dx\)
3.693
\(\int \frac {e^{5 x}+e^{7 x}}{e^{-x}+e^x} \, dx\)
3.694
\(\int x^{-2-\frac {1}{x}} (1-\log (x)) \, dx\)
3.695
\(\int (a+b e^x)^2 \, dx\)
3.696
\(\int (a+b e^x)^3 \, dx\)
3.697
\(\int (a+b e^x)^4 \, dx\)
3.698
\(\int \frac {1}{\sqrt {a+b e^{c+d x}}} \, dx\)
3.699
\(\int \frac {1}{\sqrt {-a+b e^{c+d x}}} \, dx\)
3.700
\(\int \sqrt {a+b e^{c+d x}} \, dx\)
3.701
\(\int \sqrt {-a+b e^{c+d x}} \, dx\)
3.702
\(\int e^{6 x} \sin (3 x) \, dx\)
3.703
\(\int \frac {e^{3 x}}{1+e^{2 x}} \, dx\)
3.704
\(\int \frac {e^{3 x}}{-1+e^{2 x}} \, dx\)
3.705
\(\int \frac {e^{-x}}{\sqrt {1+e^{2 x}}} \, dx\)
3.706
\(\int \frac {e^x}{-1-8 e^x+e^{2 x}} \, dx\)
3.707
\(\int e^{7 x} x^3 \, dx\)
3.708
\(\int e^{8-2 x} x^3 \, dx\)
3.709
\(\int e^x \sqrt {9-e^{2 x}} \, dx\)
3.710
\(\int e^{6 x} \sqrt {9-e^{2 x}} \, dx\)
3.711
\(\int \frac {e^{6 x}}{(9-e^x)^{5/2}} \, dx\)
3.712
\(\int (2-7 e^{x^4})^5 x^3 \, dx\)
3.713
\(\int e^{x^2} \sqrt {1-e^{2 x^2}} x \, dx\)
3.714
\(\int e^{x^3} (1-e^{4 x^3})^2 x^2 \, dx\)
3.715
\(\int e^{e^x+x} \, dx\)
3.716
\(\int e^{e^{e^x}+e^x+x} \, dx\)
3.717
\(\int (e^{-x}+e^x)^2 \, dx\)
3.718
\(\int \frac {1}{e^{-x}+e^x} \, dx\)
3.719
\(\int \frac {1}{(e^{-x}+e^x)^2} \, dx\)
3.720
\(\int \frac {1}{-e^{-x}+e^x} \, dx\)
3.721
\(\int \frac {1}{(-e^{-x}+e^x)^2} \, dx\)
3.722
\(\int e^x (-e^{-x}+e^x)^2 \, dx\)
3.723
\(\int e^x (-e^{-x}+e^x)^3 \, dx\)
3.724
\(\int \frac {1+4^x}{1+2^x} \, dx\)
3.725
\(\int \frac {1+4^x}{1+2^{-x}} \, dx\)
3.726
\(\int (\frac {e^{(a+x)^2}}{x^2}-\frac {2 a e^{(a+x)^2}}{x}) \, dx\)
3.727
\(\int e^{-x^2} (x^4+x^6+x^8) \, dx\)
3.728
\(\int \frac {1}{-e^x+e^{3 x}} \, dx\)
3.729
\(\int \frac {e^x (-5+x+x^2)}{(-1+x)^2} \, dx\)
3.730
\(\int \frac {e^{x^2} x^3}{(1+x^2)^2} \, dx\)
3.731
\(\int \frac {e^{3 x}}{\sqrt {25+16 e^{2 x}}} \, dx\)
3.732
\(\int \frac {1+e^x}{\sqrt {e^x+x}} \, dx\)
3.733
\(\int \frac {1+e^x}{e^x+x} \, dx\)
3.734
\(\int \frac {e^{x^2}}{x^2} \, dx\)
3.735
\(\int \frac {e^{x^2} (1+4 x^4)}{x^2} \, dx\)
3.736
\(\int \sqrt {f^x} (a+b x)^2 \, dx\)
3.737
\(\int 3^{1+x^2} x \, dx\)
3.738
\(\int \frac {2^{\sqrt {x}}}{\sqrt {x}} \, dx\)
3.739
\(\int \frac {2^{\frac {1}{x}}}{x^2} \, dx\)
3.740
\(\int (2^{-x}+2^x) \, dx\)
3.741
\(\int e^{-4 x} (2-3 x+x^2) \, dx\)
3.742
\(\int (k^{x/2}+x^{\sqrt {k}}) \, dx\)
3.743
\(\int \frac {10^{\sqrt {x}}}{\sqrt {x}} \, dx\)
3.744
\(\int (\frac {1}{\sqrt {e^x+x}}+\frac {e^x}{\sqrt {e^x+x}}) \, dx\)
3.745
\(\int (\frac {(1+e^x) x}{\sqrt {e^x+x}}+2 \sqrt {e^x+x}) \, dx\)
3.746
\(\int (\frac {x}{\sqrt {e^x+x}}+\frac {e^x x}{\sqrt {e^x+x}}+2 \sqrt {e^x+x}) \, dx\)
3.747
\(\int \frac {(1+e^x) x}{\sqrt {e^x+x}} \, dx\)
3.748
\(\int (\frac {x}{\sqrt {e^x+x}}+\frac {e^x x}{\sqrt {e^x+x}}) \, dx\)
3.749
\(\int \frac {e^x x}{\sqrt {e^x+x}} \, dx\)
3.750
\(\int (\frac {x^2 (5 e^x+3 x^2)}{5 \sqrt {5 e^x+x^3}}+\frac {4}{5} x \sqrt {5 e^x+x^3}) \, dx\)
3.751
\(\int \frac {e^x x^2}{\sqrt {5 e^x+x^3}} \, dx\)
3.752
\(\int -\frac {1+e^x}{\sqrt [3]{e^x+x}} \, dx\)
3.753
\(\int (-\frac {1}{\sqrt [3]{e^x+x}}+\frac {x}{\sqrt [3]{e^x+x}}-(e^x+x)^{2/3}) \, dx\)
3.754
\(\int \frac {x}{\sqrt [3]{e^x+x}} \, dx\)
3.755
\(\int \frac {5 x+e^x (3+2 x)}{\sqrt [3]{e^x+x}} \, dx\)
3.756
\(\int (\frac {2 x}{\sqrt [3]{e^x+x}}+\frac {2 e^x x}{\sqrt [3]{e^x+x}}+3 (e^x+x)^{2/3}) \, dx\)
3.757
\(\int e^x (-e^{-x}+e^x) (e^{-x}+e^x)^2 \, dx\)
3.758
\(\int \frac {x}{e^x+x} \, dx\)
3.759
\(\int \frac {x^2}{\sqrt {e^x+x}} \, dx\)
3.760
\(\int \frac {e^x}{e^x+x} \, dx\)
3.761
\(\int \frac {e^x}{e^x+x^2} \, dx\)
3.762
\(\int \frac {\text {F0}(x)}{x+\text {F0}(x)} \, dx\)
3.763
\(\int \frac {\text {F0}(x)}{x^2+\text {F0}(x)} \, dx\)
3.764
\(\int \frac {\text {F0}(x)}{(x+\text {F0}(x))^2} \, dx\)
3.765
\(\int \frac {\text {F0}(x)}{(x^2+\text {F0}(x))^2} \, dx\)
3.766
\(\int (a F^{c+d x})^m (b F^{e+f x})^n \, dx\)
3.767
\(\int e^{a+c+b x^n+d x^n} \, dx\)
3.768
\(\int f^{a+b x^n} g^{c+d x^n} \, dx\)
3.769
\(\int e^{x^n} x^m \, dx\)
3.770
\(\int f^{x^n} x^m \, dx\)
3.771
\(\int e^{(a+b x)^n} (a+b x)^m \, dx\)
3.772
\(\int f^{(a+b x)^n} (a+b x)^m \, dx\)
3.773
\(\int e^{(a+b x)^3} x \, dx\)
3.774
\(\int \frac {5 x^2+3 \sqrt [3]{e^x+x}+e^x (3 x+2 x^2)}{x \sqrt [3]{e^x+x}} \, dx\)
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