[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
Chapter 3
Listing of integrals
3.1
\(\int x^3 \log (c x) \, dx\)
3.2
\(\int x^2 \log (c x) \, dx\)
3.3
\(\int x \log (c x) \, dx\)
3.4
\(\int \log (c x) \, dx\)
3.5
\(\int \frac{\log (c x)}{x} \, dx\)
3.6
\(\int \frac{\log (c x)}{x^2} \, dx\)
3.7
\(\int \frac{\log (c x)}{x^3} \, dx\)
3.8
\(\int x^3 \log ^2(c x) \, dx\)
3.9
\(\int x^2 \log ^2(c x) \, dx\)
3.10
\(\int x \log ^2(c x) \, dx\)
3.11
\(\int \log ^2(c x) \, dx\)
3.12
\(\int \frac{\log ^2(c x)}{x} \, dx\)
3.13
\(\int \frac{\log ^2(c x)}{x^2} \, dx\)
3.14
\(\int \frac{\log ^2(c x)}{x^3} \, dx\)
3.15
\(\int x^3 \log ^3(c x) \, dx\)
3.16
\(\int x^2 \log ^3(c x) \, dx\)
3.17
\(\int x \log ^3(c x) \, dx\)
3.18
\(\int \log ^3(c x) \, dx\)
3.19
\(\int \frac{\log ^3(c x)}{x} \, dx\)
3.20
\(\int \frac{\log ^3(c x)}{x^2} \, dx\)
3.21
\(\int \frac{\log ^3(c x)}{x^3} \, dx\)
3.22
\(\int \frac{x^3}{\log (c x)} \, dx\)
3.23
\(\int \frac{x^2}{\log (c x)} \, dx\)
3.24
\(\int \frac{x}{\log (c x)} \, dx\)
3.25
\(\int \frac{1}{\log (c x)} \, dx\)
3.26
\(\int \frac{1}{x \log (c x)} \, dx\)
3.27
\(\int \frac{1}{x^2 \log (c x)} \, dx\)
3.28
\(\int \frac{1}{x^3 \log (c x)} \, dx\)
3.29
\(\int \frac{x^3}{\log ^2(c x)} \, dx\)
3.30
\(\int \frac{x^2}{\log ^2(c x)} \, dx\)
3.31
\(\int \frac{x}{\log ^2(c x)} \, dx\)
3.32
\(\int \frac{1}{\log ^2(c x)} \, dx\)
3.33
\(\int \frac{1}{x \log ^2(c x)} \, dx\)
3.34
\(\int \frac{1}{x^2 \log ^2(c x)} \, dx\)
3.35
\(\int \frac{1}{x^3 \log ^2(c x)} \, dx\)
3.36
\(\int \frac{x^3}{\log ^3(c x)} \, dx\)
3.37
\(\int \frac{x^2}{\log ^3(c x)} \, dx\)
3.38
\(\int \frac{x}{\log ^3(c x)} \, dx\)
3.39
\(\int \frac{1}{\log ^3(c x)} \, dx\)
3.40
\(\int \frac{1}{x \log ^3(c x)} \, dx\)
3.41
\(\int \frac{1}{x^2 \log ^3(c x)} \, dx\)
3.42
\(\int \frac{1}{x^3 \log ^3(c x)} \, dx\)
3.43
\(\int x^3 (a+b \log (c x^n)) \, dx\)
3.44
\(\int x^2 (a+b \log (c x^n)) \, dx\)
3.45
\(\int x (a+b \log (c x^n)) \, dx\)
3.46
\(\int (a+b \log (c x^n)) \, dx\)
3.47
\(\int \frac{a+b \log (c x^n)}{x} \, dx\)
3.48
\(\int \frac{a+b \log (c x^n)}{x^2} \, dx\)
3.49
\(\int \frac{a+b \log (c x^n)}{x^3} \, dx\)
3.50
\(\int x^3 (a+b \log (c x^n))^2 \, dx\)
3.51
\(\int x^2 (a+b \log (c x^n))^2 \, dx\)
3.52
\(\int x (a+b \log (c x^n))^2 \, dx\)
3.53
\(\int (a+b \log (c x^n))^2 \, dx\)
3.54
\(\int \frac{(a+b \log (c x^n))^2}{x} \, dx\)
3.55
\(\int \frac{(a+b \log (c x^n))^2}{x^2} \, dx\)
3.56
\(\int \frac{(a+b \log (c x^n))^2}{x^3} \, dx\)
3.57
\(\int x^3 (a+b \log (c x^n))^3 \, dx\)
3.58
\(\int x^2 (a+b \log (c x^n))^3 \, dx\)
3.59
\(\int x (a+b \log (c x^n))^3 \, dx\)
3.60
\(\int (a+b \log (c x^n))^3 \, dx\)
3.61
\(\int \frac{(a+b \log (c x^n))^3}{x} \, dx\)
3.62
\(\int \frac{(a+b \log (c x^n))^3}{x^2} \, dx\)
3.63
\(\int \frac{(a+b \log (c x^n))^3}{x^3} \, dx\)
3.64
\(\int \frac{(a+b \log (c x^n))^3}{x^4} \, dx\)
3.65
\(\int \frac{x^3}{a+b \log (c x^n)} \, dx\)
3.66
\(\int \frac{x^2}{a+b \log (c x^n)} \, dx\)
3.67
\(\int \frac{x}{a+b \log (c x^n)} \, dx\)
3.68
\(\int \frac{1}{a+b \log (c x^n)} \, dx\)
3.69
\(\int \frac{1}{x (a+b \log (c x^n))} \, dx\)
3.70
\(\int \frac{1}{x^2 (a+b \log (c x^n))} \, dx\)
3.71
\(\int \frac{1}{x^3 (a+b \log (c x^n))} \, dx\)
3.72
\(\int \frac{1}{x^4 (a+b \log (c x^n))} \, dx\)
3.73
\(\int \frac{x^3}{(a+b \log (c x^n))^2} \, dx\)
3.74
\(\int \frac{x^2}{(a+b \log (c x^n))^2} \, dx\)
3.75
\(\int \frac{x}{(a+b \log (c x^n))^2} \, dx\)
3.76
\(\int \frac{1}{(a+b \log (c x^n))^2} \, dx\)
3.77
\(\int \frac{1}{x (a+b \log (c x^n))^2} \, dx\)
3.78
\(\int \frac{1}{x^2 (a+b \log (c x^n))^2} \, dx\)
3.79
\(\int \frac{1}{x^3 (a+b \log (c x^n))^2} \, dx\)
3.80
\(\int \frac{1}{x^4 (a+b \log (c x^n))^2} \, dx\)
3.81
\(\int \frac{x^3}{(a+b \log (c x^n))^3} \, dx\)
3.82
\(\int \frac{x^2}{(a+b \log (c x^n))^3} \, dx\)
3.83
\(\int \frac{x}{(a+b \log (c x^n))^3} \, dx\)
3.84
\(\int \frac{1}{(a+b \log (c x^n))^3} \, dx\)
3.85
\(\int \frac{1}{x (a+b \log (c x^n))^3} \, dx\)
3.86
\(\int \frac{1}{x^2 (a+b \log (c x^n))^3} \, dx\)
3.87
\(\int \frac{1}{x^3 (a+b \log (c x^n))^3} \, dx\)
3.88
\(\int \frac{1}{x^4 (a+b \log (c x^n))^3} \, dx\)
3.89
\(\int (d x)^{5/2} (a+b \log (c x^n)) \, dx\)
3.90
\(\int (d x)^{3/2} (a+b \log (c x^n)) \, dx\)
3.91
\(\int \sqrt{d x} (a+b \log (c x^n)) \, dx\)
3.92
\(\int \frac{a+b \log (c x^n)}{\sqrt{d x}} \, dx\)
3.93
\(\int \frac{a+b \log (c x^n)}{(d x)^{3/2}} \, dx\)
3.94
\(\int \frac{a+b \log (c x^n)}{(d x)^{5/2}} \, dx\)
3.95
\(\int (d x)^{5/2} (a+b \log (c x^n))^2 \, dx\)
3.96
\(\int (d x)^{3/2} (a+b \log (c x^n))^2 \, dx\)
3.97
\(\int \sqrt{d x} (a+b \log (c x^n))^2 \, dx\)
3.98
\(\int \frac{(a+b \log (c x^n))^2}{\sqrt{d x}} \, dx\)
3.99
\(\int \frac{(a+b \log (c x^n))^2}{(d x)^{3/2}} \, dx\)
3.100
\(\int \frac{(a+b \log (c x^n))^2}{(d x)^{5/2}} \, dx\)
3.101
\(\int \frac{(d x)^{5/2}}{a+b \log (c x^n)} \, dx\)
3.102
\(\int \frac{(d x)^{3/2}}{a+b \log (c x^n)} \, dx\)
3.103
\(\int \frac{\sqrt{d x}}{a+b \log (c x^n)} \, dx\)
3.104
\(\int \frac{1}{\sqrt{d x} (a+b \log (c x^n))} \, dx\)
3.105
\(\int \frac{1}{(d x)^{3/2} (a+b \log (c x^n))} \, dx\)
3.106
\(\int \frac{1}{(d x)^{5/2} (a+b \log (c x^n))} \, dx\)
3.107
\(\int \frac{(d x)^{5/2}}{(a+b \log (c x^n))^2} \, dx\)
3.108
\(\int \frac{(d x)^{3/2}}{(a+b \log (c x^n))^2} \, dx\)
3.109
\(\int \frac{\sqrt{d x}}{(a+b \log (c x^n))^2} \, dx\)
3.110
\(\int \frac{1}{\sqrt{d x} (a+b \log (c x^n))^2} \, dx\)
3.111
\(\int \frac{1}{(d x)^{3/2} (a+b \log (c x^n))^2} \, dx\)
3.112
\(\int \frac{1}{(d x)^{5/2} (a+b \log (c x^n))^2} \, dx\)
3.113
\(\int \sqrt{a+b \log (c x^n)} \, dx\)
3.114
\(\int x^3 \sqrt{\log (a x^n)} \, dx\)
3.115
\(\int x^2 \sqrt{\log (a x^n)} \, dx\)
3.116
\(\int x \sqrt{\log (a x^n)} \, dx\)
3.117
\(\int \sqrt{\log (a x^n)} \, dx\)
3.118
\(\int \frac{\sqrt{\log (a x^n)}}{x} \, dx\)
3.119
\(\int \frac{\sqrt{\log (a x^n)}}{x^2} \, dx\)
3.120
\(\int \frac{\sqrt{\log (a x^n)}}{x^3} \, dx\)
3.121
\(\int x^3 \log ^{\frac{3}{2}}(a x^n) \, dx\)
3.122
\(\int x^2 \log ^{\frac{3}{2}}(a x^n) \, dx\)
3.123
\(\int x \log ^{\frac{3}{2}}(a x^n) \, dx\)
3.124
\(\int \log ^{\frac{3}{2}}(a x^n) \, dx\)
3.125
\(\int \frac{\log ^{\frac{3}{2}}(a x^n)}{x} \, dx\)
3.126
\(\int \frac{\log ^{\frac{3}{2}}(a x^n)}{x^2} \, dx\)
3.127
\(\int \frac{\log ^{\frac{3}{2}}(a x^n)}{x^3} \, dx\)
3.128
\(\int \frac{x^3}{\sqrt{\log (a x^n)}} \, dx\)
3.129
\(\int \frac{x^2}{\sqrt{\log (a x^n)}} \, dx\)
3.130
\(\int \frac{x}{\sqrt{\log (a x^n)}} \, dx\)
3.131
\(\int \frac{1}{\sqrt{\log (a x^n)}} \, dx\)
3.132
\(\int \frac{1}{x \sqrt{\log (a x^n)}} \, dx\)
3.133
\(\int \frac{1}{x^2 \sqrt{\log (a x^n)}} \, dx\)
3.134
\(\int \frac{1}{x^3 \sqrt{\log (a x^n)}} \, dx\)
3.135
\(\int \frac{x^3}{\log ^{\frac{3}{2}}(a x^n)} \, dx\)
3.136
\(\int \frac{x^2}{\log ^{\frac{3}{2}}(a x^n)} \, dx\)
3.137
\(\int \frac{x}{\log ^{\frac{3}{2}}(a x^n)} \, dx\)
3.138
\(\int \frac{1}{\log ^{\frac{3}{2}}(a x^n)} \, dx\)
3.139
\(\int \frac{1}{x \log ^{\frac{3}{2}}(a x^n)} \, dx\)
3.140
\(\int \frac{1}{x^2 \log ^{\frac{3}{2}}(a x^n)} \, dx\)
3.141
\(\int \frac{1}{x^3 \log ^{\frac{3}{2}}(a x^n)} \, dx\)
3.142
\(\int \frac{x^3}{\log ^{\frac{5}{2}}(a x^n)} \, dx\)
3.143
\(\int \frac{x^2}{\log ^{\frac{5}{2}}(a x^n)} \, dx\)
3.144
\(\int \frac{x}{\log ^{\frac{5}{2}}(a x^n)} \, dx\)
3.145
\(\int \frac{1}{\log ^{\frac{5}{2}}(a x^n)} \, dx\)
3.146
\(\int \frac{1}{x \log ^{\frac{5}{2}}(a x^n)} \, dx\)
3.147
\(\int \frac{1}{x^2 \log ^{\frac{5}{2}}(a x^n)} \, dx\)
3.148
\(\int \frac{1}{x^3 \log ^{\frac{5}{2}}(a x^n)} \, dx\)
3.149
\(\int (d x)^m (a+\frac{a (1+m) \log (c x^n)}{n}) \, dx\)
3.150
\(\int (d x)^m (a+b \log (c x^n))^3 \, dx\)
3.151
\(\int (d x)^m (a+b \log (c x^n))^2 \, dx\)
3.152
\(\int (d x)^m (a+b \log (c x^n)) \, dx\)
3.153
\(\int \frac{(d x)^m}{a+b \log (c x^n)} \, dx\)
3.154
\(\int \frac{(d x)^m}{(a+b \log (c x^n))^2} \, dx\)
3.155
\(\int \frac{(d x)^m}{(a+b \log (c x^n))^3} \, dx\)
3.156
\(\int (d x)^{-1+n} \log ^3(c x^n) \, dx\)
3.157
\(\int (d x)^{-1+n} \log ^2(c x^n) \, dx\)
3.158
\(\int (d x)^{-1+n} \log (c x^n) \, dx\)
3.159
\(\int \frac{(d x)^{-1+n}}{\log (c x^n)} \, dx\)
3.160
\(\int \frac{(d x)^{-1+n}}{\log ^2(c x^n)} \, dx\)
3.161
\(\int \frac{(d x)^{-1+n}}{\log ^3(c x^n)} \, dx\)
3.162
\(\int x^m \log ^{\frac{3}{2}}(a x^n) \, dx\)
3.163
\(\int x^m \sqrt{\log (a x^n)} \, dx\)
3.164
\(\int \frac{x^m}{\sqrt{\log (a x^n)}} \, dx\)
3.165
\(\int \frac{x^m}{\log ^{\frac{3}{2}}(a x^n)} \, dx\)
3.166
\(\int \frac{x^m}{\log ^{\frac{5}{2}}(a x^n)} \, dx\)
3.167
\(\int (d x)^m (a+b \log (c x^n))^p \, dx\)
3.168
\(\int x^2 (a+b \log (c x^n))^p \, dx\)
3.169
\(\int x (a+b \log (c x^n))^p \, dx\)
3.170
\(\int (a+b \log (c x^n))^p \, dx\)
3.171
\(\int \frac{(a+b \log (c x^n))^p}{x} \, dx\)
3.172
\(\int \frac{(a+b \log (c x^n))^p}{x^2} \, dx\)
3.173
\(\int \frac{(a+b \log (c x^n))^p}{x^3} \, dx\)
3.174
\(\int \frac{(a+b \log (c x^n))^p}{x^4} \, dx\)
3.175
\(\int (d x)^m (a+b \log (c x))^p \, dx\)
3.176
\(\int x^2 (a+b \log (c x))^p \, dx\)
3.177
\(\int x (a+b \log (c x))^p \, dx\)
3.178
\(\int (a+b \log (c x))^p \, dx\)
3.179
\(\int \frac{(a+b \log (c x))^p}{x} \, dx\)
3.180
\(\int \frac{(a+b \log (c x))^p}{x^2} \, dx\)
3.181
\(\int \frac{(a+b \log (c x))^p}{x^3} \, dx\)
3.182
\(\int \frac{(a+b \log (c x))^p}{x^4} \, dx\)
3.183
\(\int (d x)^m (a+b \log (c \sqrt{x}))^p \, dx\)
3.184
\(\int x^2 (a+b \log (c \sqrt{x}))^p \, dx\)
3.185
\(\int x (a+b \log (c \sqrt{x}))^p \, dx\)
3.186
\(\int (a+b \log (c \sqrt{x}))^p \, dx\)
3.187
\(\int \frac{(a+b \log (c \sqrt{x}))^p}{x} \, dx\)
3.188
\(\int \frac{(a+b \log (c \sqrt{x}))^p}{x^2} \, dx\)
3.189
\(\int \frac{(a+b \log (c \sqrt{x}))^p}{x^3} \, dx\)
3.190
\(\int \frac{(a+b \log (c \sqrt{x}))^p}{x^4} \, dx\)
3.191
\(\int x^{-1+n} (a+b \log (c x^n))^p \, dx\)
3.192
\(\int (d x^q)^m (a+b \log (c x^n))^p \, dx\)
3.193
\(\int (\text{d1} x^{\text{q1}})^{\text{m1}} (\text{d2} x^{\text{q2}})^{\text{m2}} (a+b \log (c x^n))^p \, dx\)
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]