[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
Chapter 3
Listing of integrals
3.1
\(\int \frac {\log ^{-1+q}(c x^n) (a x^m+b \log ^q(c x^n))^p}{x} \, dx\)
3.2
\(\int \frac {\log ^{-1+q}(c x^n) (a x^m+b \log ^q(c x^n))^3}{x} \, dx\)
3.3
\(\int \frac {\log ^{-1+q}(c x^n) (a x^m+b \log ^q(c x^n))^2}{x} \, dx\)
3.4
\(\int \frac {\log ^{-1+q}(c x^n) (a x^m+b \log ^q(c x^n))}{x} \, dx\)
3.5
\(\int \frac {\log ^{-1+q}(c x^n)}{x} \, dx\)
3.6
\(\int \frac {\log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))} \, dx\)
3.7
\(\int \frac {\log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^2} \, dx\)
3.8
\(\int \frac {\log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^3} \, dx\)
3.9
\(\int \frac {\log (c x^n) (a x^m+b \log ^2(c x^n))^3}{x} \, dx\)
3.10
\(\int \frac {\log (c x^n) (a x^m+b \log ^2(c x^n))^2}{x} \, dx\)
3.11
\(\int \frac {\log (c x^n) (a x^m+b \log ^2(c x^n))}{x} \, dx\)
3.12
\(\int \frac {\log (c x^n)}{x} \, dx\)
3.13
\(\int \frac {\log (c x^n)}{x (a x^m+b \log ^2(c x^n))} \, dx\)
3.14
\(\int \frac {\log (c x^n)}{x (a x^m+b \log ^2(c x^n))^2} \, dx\)
3.15
\(\int \frac {\log (c x^n)}{x (a x^m+b \log ^2(c x^n))^3} \, dx\)
3.16
\(\int \frac {(a m x^m+b n q \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))^p}{x} \, dx\)
3.17
\(\int \frac {(a m x^m+b n q \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))^2}{x} \, dx\)
3.18
\(\int \frac {(a m x^m+b n q \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))}{x} \, dx\)
3.19
\(\int \frac {a m x^m+b n q \log ^{-1+q}(c x^n)}{x} \, dx\)
3.20
\(\int \frac {a m x^m+b n q \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))} \, dx\)
3.21
\(\int \frac {a m x^m+b n q \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^2} \, dx\)
3.22
\(\int \frac {a m x^m+b n q \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^3} \, dx\)
3.23
\(\int (\frac {a}{x^2}+\frac {2 b n \log (c x^n)}{x^3}) (a x^2+b x \log ^2(c x^n))^2 \, dx\)
3.24
\(\int (\frac {a}{x}+\frac {2 b n \log (c x^n)}{x^2}) (a x^2+b x \log ^2(c x^n)) \, dx\)
3.25
\(\int (a+\frac {2 b n \log (c x^n)}{x}) \, dx\)
3.26
\(\int \frac {a x+2 b n \log (c x^n)}{a x^2+b x \log ^2(c x^n)} \, dx\)
3.27
\(\int \frac {a x^2+2 b n x \log (c x^n)}{(a x^2+b x \log ^2(c x^n))^2} \, dx\)
3.28
\(\int \frac {a x^3+2 b n x^2 \log (c x^n)}{(a x^2+b x \log ^2(c x^n))^3} \, dx\)
3.29
\(\int \frac {a (-1+m) x^{-1+m}+b n q \log ^{-1+q}(c x^n)}{a x^m+b x \log ^q(c x^n)} \, dx\)
3.30
\(\int \frac {(d x^m+e \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))^p}{x} \, dx\)
3.31
\(\int \frac {(d x^m+e \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))^3}{x} \, dx\)
3.32
\(\int \frac {(d x^m+e \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))^2}{x} \, dx\)
3.33
\(\int \frac {(d x^m+e \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))}{x} \, dx\)
3.34
\(\int \frac {d x^m+e \log ^{-1+q}(c x^n)}{x} \, dx\)
3.35
\(\int \frac {d x^m+e \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))} \, dx\)
3.36
\(\int \frac {d x^m+e \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^2} \, dx\)
3.37
\(\int \frac {d x^m+e \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^3} \, dx\)
3.38
\(\int \frac {a d n x^m-a d m x^m \log (c x^n)-b d n (-1+q) \log ^q(c x^n)}{x (a x^m+b \log ^q(c x^n))^2} \, dx\)
3.39
\(\int \frac {n q-\log (c x^n)}{(a x+b \log ^q(c x^n))^2} \, dx\)
3.40
\(\int \frac {\log (\frac {2 x (d \sqrt {-\frac {e}{d}}+e x)}{d+e x^2})}{d+e x^2} \, dx\)
3.41
\(\int \frac {\log (-\frac {2 x (d \sqrt {-\frac {e}{d}}-e x)}{d+e x^2})}{d+e x^2} \, dx\)
3.42
\(\int \frac {\log (\frac {2 x (\frac {d \sqrt {e}}{\sqrt {-d}}+e x)}{d+e x^2})}{d+e x^2} \, dx\)
3.43
\(\int \frac {\log (-\frac {2 x (\frac {d \sqrt {e}}{\sqrt {-d}}-e x)}{d+e x^2})}{d+e x^2} \, dx\)
3.44
\(\int \frac {\log (\frac {2 x (\sqrt {d} \sqrt {-e}+e x)}{d+e x^2})}{d+e x^2} \, dx\)
3.45
\(\int \frac {\log (-\frac {2 x (\sqrt {d} \sqrt {-e}-e x)}{d+e x^2})}{d+e x^2} \, dx\)
3.46
\(\int (e x)^m (a+b \log (c \log ^p(d x))) \, dx\)
3.47
\(\int (e x)^m (a+b \log (c \log ^p(d x^n))) \, dx\)
3.48
\(\int x^2 (a+b \log (c \log ^p(d x^n))) \, dx\)
3.49
\(\int x (a+b \log (c \log ^p(d x^n))) \, dx\)
3.50
\(\int (a+b \log (c \log ^p(d x^n))) \, dx\)
3.51
\(\int \frac {a+b \log (c \log ^p(d x^n))}{x} \, dx\)
3.52
\(\int \frac {a+b \log (c \log ^p(d x^n))}{x^2} \, dx\)
3.53
\(\int \frac {a+b \log (c \log ^p(d x^n))}{x^3} \, dx\)
3.54
\(\int \frac {a+b \log (c \log ^p(d x^n))}{x^4} \, dx\)
3.55
\(\int \log (c \log ^p(d x)) \, dx\)
3.56
\(\int \frac {\log (c \log ^p(d x))}{x} \, dx\)
3.57
\(\int \log (c \log ^p(d x^n)) \, dx\)
3.58
\(\int \frac {\log (c \log ^p(d x^n))}{x} \, dx\)
3.59
\(\int x^m \log (d (b x+c x^2)^n) \, dx\)
3.60
\(\int x^4 \log (d (b x+c x^2)^n) \, dx\)
3.61
\(\int x^3 \log (d (b x+c x^2)^n) \, dx\)
3.62
\(\int x^2 \log (d (b x+c x^2)^n) \, dx\)
3.63
\(\int x \log (d (b x+c x^2)^n) \, dx\)
3.64
\(\int \log (d (b x+c x^2)^n) \, dx\)
3.65
\(\int \frac {\log (d (b x+c x^2)^n)}{x} \, dx\)
3.66
\(\int \frac {\log (d (b x+c x^2)^n)}{x^2} \, dx\)
3.67
\(\int \frac {\log (d (b x+c x^2)^n)}{x^3} \, dx\)
3.68
\(\int \frac {\log (d (b x+c x^2)^n)}{x^4} \, dx\)
3.69
\(\int \frac {\log (d (b x+c x^2)^n)}{x^5} \, dx\)
3.70
\(\int x^m \log (d (a+b x+c x^2)^n) \, dx\)
3.71
\(\int x^4 \log (d (a+b x+c x^2)^n) \, dx\)
3.72
\(\int x^3 \log (d (a+b x+c x^2)^n) \, dx\)
3.73
\(\int x^2 \log (d (a+b x+c x^2)^n) \, dx\)
3.74
\(\int x \log (d (a+b x+c x^2)^n) \, dx\)
3.75
\(\int \log (d (a+b x+c x^2)^n) \, dx\)
3.76
\(\int \frac {\log (d (a+b x+c x^2)^n)}{x} \, dx\)
3.77
\(\int \frac {\log (d (a+b x+c x^2)^n)}{x^2} \, dx\)
3.78
\(\int \frac {\log (d (a+b x+c x^2)^n)}{x^3} \, dx\)
3.79
\(\int \frac {\log (d (a+b x+c x^2)^n)}{x^4} \, dx\)
3.80
\(\int \frac {\log (d (a+b x+c x^2)^n)}{x^5} \, dx\)
3.81
\(\int \log (1+x+x^2) \, dx\)
3.82
\(\int (d+e x)^4 \log (d (a+b x+c x^2)^n) \, dx\)
3.83
\(\int (d+e x)^3 \log (d (a+b x+c x^2)^n) \, dx\)
3.84
\(\int (d+e x)^2 \log (d (a+b x+c x^2)^n) \, dx\)
3.85
\(\int (d+e x) \log (d (a+b x+c x^2)^n) \, dx\)
3.86
\(\int \log (d (a+b x+c x^2)^n) \, dx\)
3.87
\(\int \frac {\log (d (a+b x+c x^2)^n)}{d+e x} \, dx\)
3.88
\(\int \frac {\log (d (a+b x+c x^2)^n)}{(d+e x)^2} \, dx\)
3.89
\(\int \frac {\log (d (a+b x+c x^2)^n)}{(d+e x)^3} \, dx\)
3.90
\(\int \frac {\log (d (a+b x+c x^2)^n)}{(d+e x)^4} \, dx\)
3.91
\(\int \frac {\log (d (a+b x+c x^2)^n)}{(d+e x)^5} \, dx\)
3.92
\(\int \frac {\log (d (a+c x^2)^n)}{a e+c e x^2} \, dx\)
3.93
\(\int \frac {\log (d (a+b x+c x^2)^n)}{a e+b e x+c e x^2} \, dx\)
3.94
\(\int \frac {\log (g (a+b x+c x^2)^n)}{d+e x^2} \, dx\)
3.95
\(\int \frac {\log (g (a+b x+c x^2)^n)}{d+e x+f x^2} \, dx\)
3.96
\(\int \log ^2(d (b x+c x^2)^n) \, dx\)
3.97
\(\int \log ^2(d (a+b x+c x^2)^n) \, dx\)
3.98
\(\int \frac {x^2 \log (1+x+x^2)}{2+3 x+x^2} \, dx\)
3.99
\(\int \log ^2(1+x+x^2) \, dx\)
3.100
\(\int \frac {\log ^2(-1+x+x^2)}{x^3} \, dx\)
3.101
\(\int x^3 \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\)
3.102
\(\int x^2 \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\)
3.103
\(\int x \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\)
3.104
\(\int \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\)
3.105
\(\int \frac {\log (-1+4 x+4 \sqrt {(-1+x) x})}{x} \, dx\)
3.106
\(\int \frac {\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^2} \, dx\)
3.107
\(\int \frac {\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^3} \, dx\)
3.108
\(\int x^{3/2} \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\)
3.109
\(\int \sqrt {x} \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\)
3.110
\(\int \frac {\log (-1+4 x+4 \sqrt {(-1+x) x})}{\sqrt {x}} \, dx\)
3.111
\(\int \frac {\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^{3/2}} \, dx\)
3.112
\(\int \frac {\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^{5/2}} \, dx\)
3.113
\(\int x^3 \log (a+b e^x) \, dx\)
3.114
\(\int x^2 \log (a+b e^x) \, dx\)
3.115
\(\int x \log (a+b e^x) \, dx\)
3.116
\(\int \log (a+b e^x) \, dx\)
3.117
\(\int \frac {\log (a+b e^x)}{x} \, dx\)
3.118
\(\int x^3 \log (1+e (f^{c (a+b x)})^n) \, dx\)
3.119
\(\int x^2 \log (1+e (f^{c (a+b x)})^n) \, dx\)
3.120
\(\int x \log (1+e (f^{c (a+b x)})^n) \, dx\)
3.121
\(\int \log (1+e (f^{c (a+b x)})^n) \, dx\)
3.122
\(\int \frac {\log (1+e (f^{c (a+b x)})^n)}{x} \, dx\)
3.123
\(\int x^3 \log (d+e (f^{c (a+b x)})^n) \, dx\)
3.124
\(\int x^2 \log (d+e (f^{c (a+b x)})^n) \, dx\)
3.125
\(\int x \log (d+e (f^{c (a+b x)})^n) \, dx\)
3.126
\(\int \log (d+e (f^{c (a+b x)})^n) \, dx\)
3.127
\(\int \frac {\log (d+e (f^{c (a+b x)})^n)}{x} \, dx\)
3.128
\(\int \log (b (F^{e (c+d x)})^n+\pi ) \, dx\)
3.129
\(\int \frac {1}{x (3+\log (x))} \, dx\)
3.130
\(\int \frac {\sqrt {1+\log (x)}}{x} \, dx\)
3.131
\(\int \frac {(1+\log (x))^5}{x} \, dx\)
3.132
\(\int \frac {1}{x \sqrt {\log (x)}} \, dx\)
3.133
\(\int \frac {1}{x (1+\log ^2(x))} \, dx\)
3.134
\(\int \frac {1}{x \sqrt {-3+\log ^2(x)}} \, dx\)
3.135
\(\int \frac {1}{x \sqrt {4-9 \log ^2(x)}} \, dx\)
3.136
\(\int \frac {1}{x \sqrt {4+\log ^2(x)}} \, dx\)
3.137
\(\int \frac {1}{x (2+3 \log ^3(6 x))} \, dx\)
3.138
\(\int \frac {\log (\log (6 x))}{x \log (6 x)} \, dx\)
3.139
\(\int \frac {2^{\log (x)}}{x} \, dx\)
3.140
\(\int \frac {\sin ^2(\log (x))}{x} \, dx\)
3.141
\(\int \frac {7-\log (x)}{x (3+\log (x))} \, dx\)
3.142
\(\int \frac {(2-\log (x)) (3+\log (x))^2}{x} \, dx\)
3.143
\(\int \frac {\log ^2(x) \sqrt {1+\log ^2(x)}}{x} \, dx\)
3.144
\(\int \frac {1+\log (x)}{x (3+2 \log (x))^2} \, dx\)
3.145
\(\int \frac {\log (x)}{x \sqrt {1+\log (x)}} \, dx\)
3.146
\(\int \frac {\log (x)}{x \sqrt {-1+4 \log (x)}} \, dx\)
3.147
\(\int \frac {\sqrt {1+\log (x)}}{x \log (x)} \, dx\)
3.148
\(\int \frac {1-4 \log (x)+\log ^2(x)}{x (-1+\log (x))^4} \, dx\)
3.149
\(\int \frac {\log ^2(a x^n)^p}{x} \, dx\)
3.150
\(\int \frac {\log ^m(a x^n)^p}{x} \, dx\)
3.151
\(\int \frac {\sqrt {\log ^2(a x^n)}}{x} \, dx\)
3.152
\(\int \frac {(b \log ^m(a x^n))^p}{x} \, dx\)
3.153
\(\int \frac {1}{x \log (e^x)} \, dx\)
3.154
\(\int \log (x) \sin (a+b x) \, dx\)
3.155
\(\int \log (x) \sin ^2(a+b x) \, dx\)
3.156
\(\int \log (x) \sin ^3(a+b x) \, dx\)
3.157
\(\int \cos (a+b x) \log (x) \, dx\)
3.158
\(\int \cos ^2(a+b x) \log (x) \, dx\)
3.159
\(\int \cos ^3(a+b x) \log (x) \, dx\)
3.160
\(\int (\cos (x) \log (x)+\frac {\sin (x)}{x}) \, dx\)
3.161
\(\int \log (a \sin (x)) \, dx\)
3.162
\(\int \log (a \sin ^2(x)) \, dx\)
3.163
\(\int \log (a \sin ^n(x)) \, dx\)
3.164
\(\int \log (a \cos (x)) \, dx\)
3.165
\(\int \log (a \cos ^2(x)) \, dx\)
3.166
\(\int \log (a \cos ^n(x)) \, dx\)
3.167
\(\int \log (a \tan (x)) \, dx\)
3.168
\(\int \log (a \tan ^2(x)) \, dx\)
3.169
\(\int \log (a \tan ^n(x)) \, dx\)
3.170
\(\int \log (a \cot (x)) \, dx\)
3.171
\(\int \log (a \cot ^2(x)) \, dx\)
3.172
\(\int \log (a \cot ^n(x)) \, dx\)
3.173
\(\int \log (a \sec (x)) \, dx\)
3.174
\(\int \log (a \sec ^2(x)) \, dx\)
3.175
\(\int \log (a \sec ^n(x)) \, dx\)
3.176
\(\int \log (a \csc (x)) \, dx\)
3.177
\(\int \log (a \csc ^2(x)) \, dx\)
3.178
\(\int \log (a \csc ^n(x)) \, dx\)
3.179
\(\int \cos (x) \log (\frac {1}{2} (1-\cos (2 x))) \, dx\)
3.180
\(\int \frac {\cot (x)}{\log (e \sin (x))} \, dx\)
3.181
\(\int \frac {\cot (x)}{\log (e^{\sin (x)})} \, dx\)
3.182
\(\int \log (\cos (x)) \sec ^2(x) \, dx\)
3.183
\(\int \cot (x) \log (\sin (x)) \, dx\)
3.184
\(\int \cos (x) \log (\sin (x)) \sin ^2(x) \, dx\)
3.185
\(\int \cos (a+b x) \log (\cos (\frac {a}{2}+\frac {b x}{2}) \sin (\frac {a}{2}+\frac {b x}{2})) \, dx\)
3.186
\(\int \frac {\tan (x)}{\log (\cos (x))} \, dx\)
3.187
\(\int \log (\cos (x)) \tan (x) \, dx\)
3.188
\(\int \log (\cos (x)) \sin (x) \, dx\)
3.189
\(\int \cos (x) \log (\cos (x)) \, dx\)
3.190
\(\int \cos (x) \log (\sin (x)) \, dx\)
3.191
\(\int \log (\sin (x)) \sin ^2(x) \, dx\)
3.192
\(\int \log (\sin (x)) \sin ^3(x) \, dx\)
3.193
\(\int \log (\sin (\sqrt {x})) \, dx\)
3.194
\(\int \csc ^2(x) \log (\sin (x)) \, dx\)
3.195
\(\int \log (x) \sinh (a+b x) \, dx\)
3.196
\(\int \log (x) \sinh ^2(a+b x) \, dx\)
3.197
\(\int \log (x) \sinh ^3(a+b x) \, dx\)
3.198
\(\int \cosh (a+b x) \log (x) \, dx\)
3.199
\(\int \cosh ^2(a+b x) \log (x) \, dx\)
3.200
\(\int \cosh ^3(a+b x) \log (x) \, dx\)
3.201
\(\int \log (a \sinh (x)) \, dx\)
3.202
\(\int \log (a \sinh ^2(x)) \, dx\)
3.203
\(\int \log (a \sinh ^n(x)) \, dx\)
3.204
\(\int \log (a \cosh (x)) \, dx\)
3.205
\(\int \log (a \cosh ^2(x)) \, dx\)
3.206
\(\int \log (a \cosh ^n(x)) \, dx\)
3.207
\(\int \log (\tanh (x)) \, dx\)
3.208
\(\int \log (a \tanh (x)) \, dx\)
3.209
\(\int \log (a \tanh ^2(x)) \, dx\)
3.210
\(\int \log (a \tanh ^n(x)) \, dx\)
3.211
\(\int \log (\coth (x)) \, dx\)
3.212
\(\int \log (a \coth (x)) \, dx\)
3.213
\(\int \log (a \coth ^2(x)) \, dx\)
3.214
\(\int \log (a \coth ^n(x)) \, dx\)
3.215
\(\int \log (a \text {sech}(x)) \, dx\)
3.216
\(\int \log (a \text {sech}^2(x)) \, dx\)
3.217
\(\int \log (a \text {sech}^n(x)) \, dx\)
3.218
\(\int \log (a \text {csch}(x)) \, dx\)
3.219
\(\int \log (a \text {csch}^2(x)) \, dx\)
3.220
\(\int \log (a \text {csch}^n(x)) \, dx\)
3.221
\(\int \cosh (a+b x) \log (\cosh (\frac {a}{2}+\frac {b x}{2}) \sinh (\frac {a}{2}+\frac {b x}{2})) \, dx\)
3.222
\(\int \log (\cosh ^2(x)) \sinh (x) \, dx\)
3.223
\(\int \frac {\log (x)}{\sqrt {x}} \, dx\)
3.224
\(\int x \log (2-3 x^2) \, dx\)
3.225
\(\int \frac {1}{x \sqrt {1-\log ^2(x)}} \, dx\)
3.226
\(\int 16 x^3 \log ^2(x) \, dx\)
3.227
\(\int \log (\sqrt {a+b x}) \, dx\)
3.228
\(\int x \log (\sqrt {2+x}) \, dx\)
3.229
\(\int x \log (\sqrt [3]{1+3 x}) \, dx\)
3.230
\(\int x \log (x+x^3) \, dx\)
3.231
\(\int \log (x+\sqrt {1+x^2}) \, dx\)
3.232
\(\int \log (x+\sqrt {-1+x^2}) \, dx\)
3.233
\(\int \log (x-\sqrt {-1+x^2}) \, dx\)
3.234
\(\int \log (\sqrt {x}+\sqrt {1+x}) \, dx\)
3.235
\(\int \sqrt [3]{x} \log (x) \, dx\)
3.236
\(\int 2^{\log (x)} \, dx\)
3.237
\(\int \frac {1-\log (x)}{x^2} \, dx\)
3.238
\(\int \log (1+x+\sqrt {1+x}) \, dx\)
3.239
\(\int \log (x+x^3) \, dx\)
3.240
\(\int 2^{\log (-8+7 x)} \, dx\)
3.241
\(\int \log (\frac {-11+5 x}{5+76 x}) \, dx\)
3.242
\(\int \log (\frac {1}{13+x}) \, dx\)
3.243
\(\int x \log (\frac {1+x}{x^2}) \, dx\)
3.244
\(\int x^3 \log (\frac {7+5 x}{x^2}) \, dx\)
3.245
\(\int (a+b x) \log (a+b x) \, dx\)
3.246
\(\int (a+b x)^2 \log (a+b x) \, dx\)
3.247
\(\int \frac {\log (a+b x)}{a+b x} \, dx\)
3.248
\(\int \frac {\log (a+b x)}{(a+b x)^2} \, dx\)
3.249
\(\int (a+b x)^n \log (a+b x) \, dx\)
3.250
\(\int \frac {1}{a x+b x \log (c x^n)} \, dx\)
3.251
\(\int \frac {1}{a x+b x \log ^2(c x^n)} \, dx\)
3.252
\(\int \frac {1}{a x+b x \log ^3(c x^n)} \, dx\)
3.253
\(\int \frac {1}{a x+b x \log ^4(c x^n)} \, dx\)
3.254
\(\int \frac {1}{a x+\frac {b x}{\log (c x^n)}} \, dx\)
3.255
\(\int \frac {1}{a x+\frac {b x}{\log ^2(c x^n)}} \, dx\)
3.256
\(\int \frac {1}{a x+\frac {b x}{\log ^3(c x^n)}} \, dx\)
3.257
\(\int \frac {1}{a x+\frac {b x}{\log ^4(c x^n)}} \, dx\)
3.258
\(\int \frac {1}{x+x \log (7 x)+x \log ^2(7 x)} \, dx\)
3.259
\(\int \frac {-1+\log (3 x)}{x (1-\log (3 x)+\log ^2(3 x))} \, dx\)
3.260
\(\int \frac {-1+\log ^2(3 x)}{x+x \log ^3(3 x)} \, dx\)
3.261
\(\int \frac {-1+\log ^2(3 x)}{x+x \log (3 x)+x \log ^2(3 x)} \, dx\)
3.262
\(\int \frac {\log ^2(\frac {1}{x})}{x^5} \, dx\)
3.263
\(\int \frac {1}{\sqrt {-\log (a x^2)}} \, dx\)
3.264
\(\int \frac {1}{\sqrt {-\log (\frac {a}{x^2})}} \, dx\)
3.265
\(\int \frac {1}{\sqrt {-\log (a x^n)}} \, dx\)
3.266
\(\int \frac {\log (1+\sqrt {x}-x)}{x} \, dx\)
3.267
\(\int \frac {x \log (c+d x)}{a+b x} \, dx\)
3.268
\(\int \frac {\log (x)}{-1+x} \, dx\)
3.269
\(\int \frac {x \log (1-a-b x)}{a+b x} \, dx\)
3.270
\(\int \frac {(b+2 c x) \log (x)}{x (b+c x)} \, dx\)
3.271
\(\int (\sin (x \log (x))+\log (x) \sin (x \log (x))) \, dx\)
3.272
\(\int \frac {\log (\frac {1-(-1+x)^2}{1+(-1+x)^2})}{x^2} \, dx\)
3.273
\(\int \log (\sqrt {x}+x) \, dx\)
3.274
\(\int \log (-\frac {x}{1+x}) \, dx\)
3.275
\(\int \log (\frac {-1+x}{1+x}) \, dx\)
3.276
\(\int \frac {\log (\frac {1-x^2}{1+x^2})}{(1+x)^2} \, dx\)
3.277
\(\int \frac {\log (c (1+x^2)^n)}{1+x^2} \, dx\)
3.278
\(\int \frac {\log (\frac {x^2}{1+x^2})}{1+x^2} \, dx\)
3.279
\(\int \frac {\log (\frac {c x^2}{a+b x^2})}{a+b x^2} \, dx\)
3.280
\(\int \frac {\log (1+\frac {i \sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\)
3.281
\(\int \frac {\log (1-\frac {i \sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\)
3.282
\(\int \log (e^{a+b x}) \, dx\)
3.283
\(\int \log (e^{a+b x^n}) \, dx\)
3.284
\(\int e^x \log (a+b e^x) \, dx\)
3.285
\(\int e^{a+b x} \log (x) \, dx\)
3.286
\(\int \frac {x^2}{x+\log (x)} \, dx\)
3.287
\(\int \frac {x}{x+\log (x)} \, dx\)
3.288
\(\int \frac {1}{x+\log (x)} \, dx\)
3.289
\(\int \frac {1}{x (x+\log (x))} \, dx\)
3.290
\(\int \frac {1}{x^2 (x+\log (x))} \, dx\)
3.291
\(\int \frac {\log (x)}{x+4 x \log ^2(x)} \, dx\)
3.292
\(\int \frac {1-\log (x)}{x (x+\log (x))} \, dx\)
3.293
\(\int \frac {1+x}{\log (x) (x+\log (x))} \, dx\)
3.294
\(\int \log (2+\sqrt {\frac {1+x}{x}}) \, dx\)
3.295
\(\int \log (1+\sqrt {\frac {1+x}{x}}) \, dx\)
3.296
\(\int \log (\sqrt {\frac {1+x}{x}}) \, dx\)
3.297
\(\int \log (-1+\sqrt {\frac {1+x}{x}}) \, dx\)
3.298
\(\int \log (-2+\sqrt {\frac {1+x}{x}}) \, dx\)
3.299
\(\int (x^{a x}+x^{a x} \log (x)) \, dx\)
3.300
\(\int \log ^m(x)^p \, dx\)
3.301
\(\int \frac {\log (x)}{\sqrt {a+b \log (x)}} \, dx\)
3.302
\(\int \frac {\log (x)}{\sqrt {a-b \log (x)}} \, dx\)
3.303
\(\int \frac {A+B \log (x)}{\sqrt {a+b \log (x)}} \, dx\)
3.304
\(\int \frac {A+B \log (x)}{\sqrt {a-b \log (x)}} \, dx\)
3.305
\(\int x^2 \log (\log (x) \sin (x)) \, dx\)
3.306
\(\int x \log (\log (x) \sin (x)) \, dx\)
3.307
\(\int \log (\log (x) \sin (x)) \, dx\)
3.308
\(\int \frac {\log (\log (x) \sin (x))}{x} \, dx\)
3.309
\(\int \frac {\log (\log (x) \sin (x))}{x^2} \, dx\)
3.310
\(\int x^2 \log (e^x \log (x) \sin (x)) \, dx\)
3.311
\(\int x \log (e^x \log (x) \sin (x)) \, dx\)
3.312
\(\int \log (e^x \log (x) \sin (x)) \, dx\)
3.313
\(\int \frac {\log (e^x \log (x) \sin (x))}{x} \, dx\)
3.314
\(\int \frac {\log (e^x \log (x) \sin (x))}{x^2} \, dx\)
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]