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Chapter 3
Listing of integrals
3.1
\(\int x^5 (a+b \sin (c+d x^2)) \, dx\)
3.2
\(\int x^3 (a+b \sin (c+d x^2)) \, dx\)
3.3
\(\int x (a+b \sin (c+d x^2)) \, dx\)
3.4
\(\int \frac{a+b \sin (c+d x^2)}{x} \, dx\)
3.5
\(\int \frac{a+b \sin (c+d x^2)}{x^3} \, dx\)
3.6
\(\int \frac{a+b \sin (c+d x^2)}{x^5} \, dx\)
3.7
\(\int x^4 (a+b \sin (c+d x^2)) \, dx\)
3.8
\(\int x^2 (a+b \sin (c+d x^2)) \, dx\)
3.9
\(\int (a+b \sin (c+d x^2)) \, dx\)
3.10
\(\int \frac{a+b \sin (c+d x^2)}{x^2} \, dx\)
3.11
\(\int \frac{a+b \sin (c+d x^2)}{x^4} \, dx\)
3.12
\(\int x^5 (a+b \sin (c+d x^2))^2 \, dx\)
3.13
\(\int x^3 (a+b \sin (c+d x^2))^2 \, dx\)
3.14
\(\int x (a+b \sin (c+d x^2))^2 \, dx\)
3.15
\(\int \frac{(a+b \sin (c+d x^2))^2}{x} \, dx\)
3.16
\(\int \frac{(a+b \sin (c+d x^2))^2}{x^3} \, dx\)
3.17
\(\int \frac{(a+b \sin (c+d x^2))^2}{x^5} \, dx\)
3.18
\(\int x^4 (a+b \sin (c+d x^2))^2 \, dx\)
3.19
\(\int x^2 (a+b \sin (c+d x^2))^2 \, dx\)
3.20
\(\int (a+b \sin (c+d x^2))^2 \, dx\)
3.21
\(\int \frac{(a+b \sin (c+d x^2))^2}{x^2} \, dx\)
3.22
\(\int \frac{(a+b \sin (c+d x^2))^2}{x^4} \, dx\)
3.23
\(\int x^5 \sin ^3(a+b x^2) \, dx\)
3.24
\(\int x^3 \sin ^3(a+b x^2) \, dx\)
3.25
\(\int x \sin ^3(a+b x^2) \, dx\)
3.26
\(\int \frac{\sin ^3(a+b x^2)}{x} \, dx\)
3.27
\(\int \frac{\sin ^3(a+b x^2)}{x^3} \, dx\)
3.28
\(\int x^2 \sin ^3(a+b x^2) \, dx\)
3.29
\(\int \sin ^3(a+b x^2) \, dx\)
3.30
\(\int \frac{\sin ^3(a+b x^2)}{x^2} \, dx\)
3.31
\(\int x^2 \sin ^3(x^2) \, dx\)
3.32
\(\int x^4 \cos (x^2) \sin ^2(x^2) \, dx\)
3.33
\(\int x \sin ^7(a+b x^2) \, dx\)
3.34
\(\int \frac{(1+\sin (x^2))^2}{x^3} \, dx\)
3.35
\(\int \frac{x^5}{a+b \sin (c+d x^2)} \, dx\)
3.36
\(\int \frac{x^3}{a+b \sin (c+d x^2)} \, dx\)
3.37
\(\int \frac{x}{a+b \sin (c+d x^2)} \, dx\)
3.38
\(\int \frac{1}{x (a+b \sin (c+d x^2))} \, dx\)
3.39
\(\int \frac{1}{x^3 (a+b \sin (c+d x^2))} \, dx\)
3.40
\(\int \frac{x^2}{a+b \sin (c+d x^2)} \, dx\)
3.41
\(\int \frac{1}{a+b \sin (c+d x^2)} \, dx\)
3.42
\(\int \frac{1}{x^2 (a+b \sin (c+d x^2))} \, dx\)
3.43
\(\int \frac{x^5}{(a+b \sin (c+d x^2))^2} \, dx\)
3.44
\(\int \frac{x^3}{(a+b \sin (c+d x^2))^2} \, dx\)
3.45
\(\int \frac{x}{(a+b \sin (c+d x^2))^2} \, dx\)
3.46
\(\int \frac{1}{x (a+b \sin (c+d x^2))^2} \, dx\)
3.47
\(\int \frac{1}{x^3 (a+b \sin (c+d x^2))^2} \, dx\)
3.48
\(\int \frac{x^2}{(a+b \sin (c+d x^2))^2} \, dx\)
3.49
\(\int \frac{1}{(a+b \sin (c+d x^2))^2} \, dx\)
3.50
\(\int \frac{1}{x^2 (a+b \sin (c+d x^2))^2} \, dx\)
3.51
\(\int (e x)^m (a+b \sin (c+d x^2))^p \, dx\)
3.52
\(\int (e x)^m (a+b \sin (c+d x^2))^3 \, dx\)
3.53
\(\int (e x)^m (a+b \sin (c+d x^2))^2 \, dx\)
3.54
\(\int (e x)^m (a+b \sin (c+d x^2)) \, dx\)
3.55
\(\int \frac{(e x)^m}{a+b \sin (c+d x^2)} \, dx\)
3.56
\(\int \frac{(e x)^m}{(a+b \sin (c+d x^2))^2} \, dx\)
3.57
\(\int x^5 (a+b \sin (c+d x^3)) \, dx\)
3.58
\(\int x^2 (a+b \sin (c+d x^3)) \, dx\)
3.59
\(\int \frac{a+b \sin (c+d x^3)}{x} \, dx\)
3.60
\(\int \frac{a+b \sin (c+d x^3)}{x^4} \, dx\)
3.61
\(\int x^4 (a+b \sin (c+d x^3)) \, dx\)
3.62
\(\int x (a+b \sin (c+d x^3)) \, dx\)
3.63
\(\int \frac{a+b \sin (c+d x^3)}{x^2} \, dx\)
3.64
\(\int \frac{a+b \sin (c+d x^3)}{x^5} \, dx\)
3.65
\(\int x^3 (a+b \sin (c+d x^3)) \, dx\)
3.66
\(\int (a+b \sin (c+d x^3)) \, dx\)
3.67
\(\int \frac{a+b \sin (c+d x^3)}{x^3} \, dx\)
3.68
\(\int \frac{a+b \sin (c+d x^3)}{x^6} \, dx\)
3.69
\(\int x^5 (a+b \sin (c+d x^3))^2 \, dx\)
3.70
\(\int x^2 (a+b \sin (c+d x^3))^2 \, dx\)
3.71
\(\int \frac{(a+b \sin (c+d x^3))^2}{x} \, dx\)
3.72
\(\int \frac{(a+b \sin (c+d x^3))^2}{x^4} \, dx\)
3.73
\(\int x^4 (a+b \sin (c+d x^3))^2 \, dx\)
3.74
\(\int x (a+b \sin (c+d x^3))^2 \, dx\)
3.75
\(\int \frac{(a+b \sin (c+d x^3))^2}{x^2} \, dx\)
3.76
\(\int \frac{(a+b \sin (c+d x^3))^2}{x^5} \, dx\)
3.77
\(\int x^3 (a+b \sin (c+d x^3))^2 \, dx\)
3.78
\(\int (a+b \sin (c+d x^3))^2 \, dx\)
3.79
\(\int \frac{(a+b \sin (c+d x^3))^2}{x^3} \, dx\)
3.80
\(\int \frac{(a+b \sin (c+d x^3))^2}{x^6} \, dx\)
3.81
\(\int \frac{x^5}{a+b \sin (c+d x^3)} \, dx\)
3.82
\(\int \frac{x^2}{a+b \sin (c+d x^3)} \, dx\)
3.83
\(\int \frac{1}{x (a+b \sin (c+d x^3))} \, dx\)
3.84
\(\int \frac{1}{x^4 (a+b \sin (c+d x^3))} \, dx\)
3.85
\(\int \frac{x}{a+b \sin (c+d x^3)} \, dx\)
3.86
\(\int \frac{1}{x^2 (a+b \sin (c+d x^3))} \, dx\)
3.87
\(\int \frac{1}{a+b \sin (c+d x^3)} \, dx\)
3.88
\(\int \frac{1}{x^3 (a+b \sin (c+d x^3))} \, dx\)
3.89
\(\int \frac{x^5}{(a+b \sin (c+d x^3))^2} \, dx\)
3.90
\(\int \frac{x^2}{(a+b \sin (c+d x^3))^2} \, dx\)
3.91
\(\int \frac{1}{x (a+b \sin (c+d x^3))^2} \, dx\)
3.92
\(\int \frac{1}{x^4 (a+b \sin (c+d x^3))^2} \, dx\)
3.93
\(\int \frac{x}{(a+b \sin (c+d x^3))^2} \, dx\)
3.94
\(\int \frac{1}{x^2 (a+b \sin (c+d x^3))^2} \, dx\)
3.95
\(\int \frac{1}{(a+b \sin (c+d x^3))^2} \, dx\)
3.96
\(\int \frac{1}{x^3 (a+b \sin (c+d x^3))^2} \, dx\)
3.97
\(\int (e x)^m (a+b \sin (c+d x^3))^p \, dx\)
3.98
\(\int (e x)^m (a+b \sin (c+d x^3))^3 \, dx\)
3.99
\(\int (e x)^m (a+b \sin (c+d x^3))^2 \, dx\)
3.100
\(\int (e x)^m (a+b \sin (c+d x^3)) \, dx\)
3.101
\(\int \frac{(e x)^m}{a+b \sin (c+d x^3)} \, dx\)
3.102
\(\int \frac{(e x)^m}{(a+b \sin (c+d x^3))^2} \, dx\)
3.103
\(\int x^2 \sin (a+\frac{b}{x}) \, dx\)
3.104
\(\int x \sin (a+\frac{b}{x}) \, dx\)
3.105
\(\int \sin (a+\frac{b}{x}) \, dx\)
3.106
\(\int \frac{\sin (a+\frac{b}{x})}{x} \, dx\)
3.107
\(\int \frac{\sin (a+\frac{b}{x})}{x^2} \, dx\)
3.108
\(\int \frac{\sin (a+\frac{b}{x})}{x^3} \, dx\)
3.109
\(\int \frac{\sin (a+\frac{b}{x})}{x^4} \, dx\)
3.110
\(\int \frac{\sin (a+\frac{b}{x})}{x^5} \, dx\)
3.111
\(\int x^2 \sin ^2(a+\frac{b}{x}) \, dx\)
3.112
\(\int x \sin ^2(a+\frac{b}{x}) \, dx\)
3.113
\(\int \sin ^2(a+\frac{b}{x}) \, dx\)
3.114
\(\int \frac{\sin ^2(a+\frac{b}{x})}{x} \, dx\)
3.115
\(\int \frac{\sin ^2(a+\frac{b}{x})}{x^2} \, dx\)
3.116
\(\int \frac{\sin ^2(a+\frac{b}{x})}{x^3} \, dx\)
3.117
\(\int \frac{\sin ^2(a+\frac{b}{x})}{x^4} \, dx\)
3.118
\(\int \frac{\sin ^2(a+\frac{b}{x})}{x^5} \, dx\)
3.119
\(\int \sin (a+\frac{b}{x^2}) \, dx\)
3.120
\(\int \frac{\sin (a+\frac{b}{x^2})}{x} \, dx\)
3.121
\(\int \frac{\sin (a+\frac{b}{x^2})}{x^2} \, dx\)
3.122
\(\int \frac{\sin (a+\frac{b}{x^2})}{x^3} \, dx\)
3.123
\(\int \frac{\sin (a+\frac{b}{x^2})}{x^4} \, dx\)
3.124
\(\int \frac{\sin (\sqrt{x})}{\sqrt{x}} \, dx\)
3.125
\(\int \frac{\sin ^3(\sqrt{x})}{\sqrt{x}} \, dx\)
3.126
\(\int \sin (\sqrt{x}) \, dx\)
3.127
\(\int \sin ^2(\sqrt [3]{x}) \, dx\)
3.128
\(\int \sin ^3(\sqrt [3]{x}) \, dx\)
3.129
\(\int (e x)^m (b \sin (c+d x^n))^p \, dx\)
3.130
\(\int (e x)^m (a+b \sin (c+d x^n))^p \, dx\)
3.131
\(\int (e x)^{-1+n} (b \sin (c+d x^n))^p \, dx\)
3.132
\(\int (e x)^{-1+2 n} (b \sin (c+d x^n))^p \, dx\)
3.133
\(\int (e x)^{-1+n} (a+b \sin (c+d x^n))^p \, dx\)
3.134
\(\int (e x)^{-1+2 n} (a+b \sin (c+d x^n))^p \, dx\)
3.135
\(\int \frac{\sin (a+b x^n)}{x} \, dx\)
3.136
\(\int \frac{\sin ^2(a+b x^n)}{x} \, dx\)
3.137
\(\int \frac{\sin ^3(a+b x^n)}{x} \, dx\)
3.138
\(\int \frac{\sin ^4(a+b x^n)}{x} \, dx\)
3.139
\(\int \sin (a+b x^n) \, dx\)
3.140
\(\int \sin ^2(a+b x^n) \, dx\)
3.141
\(\int \sin ^3(a+b x^n) \, dx\)
3.142
\(\int x^m \sin (a+b x^n) \, dx\)
3.143
\(\int x^m \sin ^2(a+b x^n) \, dx\)
3.144
\(\int x^m \sin ^3(a+b x^n) \, dx\)
3.145
\(\int x^{-1+2 n} \sin (a+b x^n) \, dx\)
3.146
\(\int x^{-1+2 n} \cos (a+b x^n) \, dx\)
3.147
\(\int x^{-1-n} \sin (a+b x^n) \, dx\)
3.148
\(\int x^{-1-n} \sin ^2(a+b x^n) \, dx\)
3.149
\(\int x^{-1-n} \sin ^3(a+b x^n) \, dx\)
3.150
\(\int x^{-1-2 n} \sin (a+b x^n) \, dx\)
3.151
\(\int x^{-1-2 n} \sin ^2(a+b x^n) \, dx\)
3.152
\(\int x^{-1-2 n} \sin ^3(a+b x^n) \, dx\)
3.153
\(\int (e+f x)^3 \sin (b (c+d x)^2) \, dx\)
3.154
\(\int (e+f x)^2 \sin (b (c+d x)^2) \, dx\)
3.155
\(\int (e+f x) \sin (b (c+d x)^2) \, dx\)
3.156
\(\int \sin (b (c+d x)^2) \, dx\)
3.157
\(\int \frac{\sin (b (c+d x)^2)}{e+f x} \, dx\)
3.158
\(\int \frac{\sin (b (c+d x)^2)}{(e+f x)^2} \, dx\)
3.159
\(\int (e+f x)^3 \sin (\frac{b}{(c+d x)^2}) \, dx\)
3.160
\(\int (e+f x)^2 \sin (\frac{b}{(c+d x)^2}) \, dx\)
3.161
\(\int (e+f x) \sin (\frac{b}{(c+d x)^2}) \, dx\)
3.162
\(\int \sin (\frac{b}{(c+d x)^2}) \, dx\)
3.163
\(\int \frac{\sin (\frac{b}{(c+d x)^2})}{e+f x} \, dx\)
3.164
\(\int \frac{\sin (\frac{b}{(c+d x)^2})}{(e+f x)^2} \, dx\)
3.165
\(\int (e+f x)^3 \sin (a+b (c+d x)^2) \, dx\)
3.166
\(\int (e+f x)^2 \sin (a+b (c+d x)^2) \, dx\)
3.167
\(\int (e+f x) \sin (a+b (c+d x)^2) \, dx\)
3.168
\(\int \sin (a+b (c+d x)^2) \, dx\)
3.169
\(\int \frac{\sin (a+b (c+d x)^2)}{e+f x} \, dx\)
3.170
\(\int \frac{\sin (a+b (c+d x)^2)}{(e+f x)^2} \, dx\)
3.171
\(\int (e+f x)^3 \sin (a+b (c+d x)^3) \, dx\)
3.172
\(\int (e+f x)^2 \sin (a+b (c+d x)^3) \, dx\)
3.173
\(\int (e+f x) \sin (a+b (c+d x)^3) \, dx\)
3.174
\(\int \sin (a+b (c+d x)^3) \, dx\)
3.175
\(\int \frac{\sin (a+b (c+d x)^3)}{e+f x} \, dx\)
3.176
\(\int \frac{\sin (a+b (c+d x)^3)}{(e+f x)^2} \, dx\)
3.177
\(\int (e+f x)^2 \sin (a+\frac{b}{(c+d x)^2}) \, dx\)
3.178
\(\int (e+f x) \sin (a+\frac{b}{(c+d x)^2}) \, dx\)
3.179
\(\int \sin (a+\frac{b}{(c+d x)^2}) \, dx\)
3.180
\(\int \frac{\sin (a+\frac{b}{(c+d x)^2})}{e+f x} \, dx\)
3.181
\(\int \frac{\sin (a+\frac{b}{(c+d x)^2})}{(e+f x)^2} \, dx\)
3.182
\(\int (e+f x)^2 \sin (a+\frac{b}{(c+d x)^3}) \, dx\)
3.183
\(\int (e+f x) \sin (a+\frac{b}{(c+d x)^3}) \, dx\)
3.184
\(\int \sin (a+\frac{b}{(c+d x)^3}) \, dx\)
3.185
\(\int \frac{\sin (a+\frac{b}{(c+d x)^3})}{e+f x} \, dx\)
3.186
\(\int \frac{\sin (a+\frac{b}{(c+d x)^3})}{(e+f x)^2} \, dx\)
3.187
\(\int (e+f x)^2 \sin (a+b \sqrt{c+d x}) \, dx\)
3.188
\(\int (e+f x) \sin (a+b \sqrt{c+d x}) \, dx\)
3.189
\(\int \sin (a+b \sqrt{c+d x}) \, dx\)
3.190
\(\int \frac{\sin (a+b \sqrt{c+d x})}{e+f x} \, dx\)
3.191
\(\int \frac{\sin (a+b \sqrt{c+d x})}{(e+f x)^2} \, dx\)
3.192
\(\int (e+f x)^2 \sin (a+b (c+d x)^{3/2}) \, dx\)
3.193
\(\int (e+f x) \sin (a+b (c+d x)^{3/2}) \, dx\)
3.194
\(\int \sin (a+b (c+d x)^{3/2}) \, dx\)
3.195
\(\int \frac{\sin (a+b (c+d x)^{3/2})}{e+f x} \, dx\)
3.196
\(\int \frac{\sin (a+b (c+d x)^{3/2})}{(e+f x)^2} \, dx\)
3.197
\(\int (e+f x)^2 \sin (a+\frac{b}{\sqrt{c+d x}}) \, dx\)
3.198
\(\int (e+f x) \sin (a+\frac{b}{\sqrt{c+d x}}) \, dx\)
3.199
\(\int \sin (a+\frac{b}{\sqrt{c+d x}}) \, dx\)
3.200
\(\int \frac{\sin (a+\frac{b}{\sqrt{c+d x}})}{e+f x} \, dx\)
3.201
\(\int \frac{\sin (a+\frac{b}{\sqrt{c+d x}})}{(e+f x)^2} \, dx\)
3.202
\(\int (e+f x)^2 \sin (a+\frac{b}{(c+d x)^{3/2}}) \, dx\)
3.203
\(\int (e+f x) \sin (a+\frac{b}{(c+d x)^{3/2}}) \, dx\)
3.204
\(\int \sin (a+\frac{b}{(c+d x)^{3/2}}) \, dx\)
3.205
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{3/2}})}{e+f x} \, dx\)
3.206
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{3/2}})}{(e+f x)^2} \, dx\)
3.207
\(\int (e+f x)^2 \sin (a+b \sqrt [3]{c+d x}) \, dx\)
3.208
\(\int (e+f x) \sin (a+b \sqrt [3]{c+d x}) \, dx\)
3.209
\(\int \sin (a+b \sqrt [3]{c+d x}) \, dx\)
3.210
\(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{e+f x} \, dx\)
3.211
\(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{(e+f x)^2} \, dx\)
3.212
\(\int (e+f x)^2 \sin (a+b (c+d x)^{2/3}) \, dx\)
3.213
\(\int (e+f x) \sin (a+b (c+d x)^{2/3}) \, dx\)
3.214
\(\int \sin (a+b (c+d x)^{2/3}) \, dx\)
3.215
\(\int \frac{\sin (a+b (c+d x)^{2/3})}{e+f x} \, dx\)
3.216
\(\int \frac{\sin (a+b (c+d x)^{2/3})}{(e+f x)^2} \, dx\)
3.217
\(\int (e+f x)^2 \sin (a+\frac{b}{\sqrt [3]{c+d x}}) \, dx\)
3.218
\(\int (e+f x) \sin (a+\frac{b}{\sqrt [3]{c+d x}}) \, dx\)
3.219
\(\int \sin (a+\frac{b}{\sqrt [3]{c+d x}}) \, dx\)
3.220
\(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{e+f x} \, dx\)
3.221
\(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(e+f x)^2} \, dx\)
3.222
\(\int (e+f x)^2 \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
3.223
\(\int (e+f x) \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
3.224
\(\int \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
3.225
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{e+f x} \, dx\)
3.226
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(e+f x)^2} \, dx\)
3.227
\(\int (c e+d e x)^{4/3} \sin (a+b \sqrt [3]{c+d x}) \, dx\)
3.228
\(\int (c e+d e x)^{2/3} \sin (a+b \sqrt [3]{c+d x}) \, dx\)
3.229
\(\int \sqrt [3]{c e+d e x} \sin (a+b \sqrt [3]{c+d x}) \, dx\)
3.230
\(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{\sqrt [3]{c e+d e x}} \, dx\)
3.231
\(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{(c e+d e x)^{2/3}} \, dx\)
3.232
\(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{(c e+d e x)^{4/3}} \, dx\)
3.233
\(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{(c e+d e x)^{5/3}} \, dx\)
3.234
\(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{(c e+d e x)^{7/3}} \, dx\)
3.235
\(\int (c e+d e x)^{4/3} \sin (a+b (c+d x)^{2/3}) \, dx\)
3.236
\(\int (c e+d e x)^{2/3} \sin (a+b (c+d x)^{2/3}) \, dx\)
3.237
\(\int \sqrt [3]{c e+d e x} \sin (a+b (c+d x)^{2/3}) \, dx\)
3.238
\(\int \frac{\sin (a+b (c+d x)^{2/3})}{\sqrt [3]{c e+d e x}} \, dx\)
3.239
\(\int \frac{\sin (a+b (c+d x)^{2/3})}{(c e+d e x)^{2/3}} \, dx\)
3.240
\(\int \frac{\sin (a+b (c+d x)^{2/3})}{(c e+d e x)^{4/3}} \, dx\)
3.241
\(\int \frac{\sin (a+b (c+d x)^{2/3})}{(c e+d e x)^{5/3}} \, dx\)
3.242
\(\int \sqrt [3]{c e+d e x} \sin (a+\frac{b}{\sqrt [3]{c+d x}}) \, dx\)
3.243
\(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{\sqrt [3]{c e+d e x}} \, dx\)
3.244
\(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(c e+d e x)^{2/3}} \, dx\)
3.245
\(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(c e+d e x)^{4/3}} \, dx\)
3.246
\(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(c e+d e x)^{5/3}} \, dx\)
3.247
\(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(c e+d e x)^{7/3}} \, dx\)
3.248
\(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(c e+d e x)^{8/3}} \, dx\)
3.249
\(\int (c e+d e x)^{4/3} \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
3.250
\(\int (c e+d e x)^{2/3} \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
3.251
\(\int \sqrt [3]{c e+d e x} \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
3.252
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{\sqrt [3]{c e+d e x}} \, dx\)
3.253
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{2/3}} \, dx\)
3.254
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{4/3}} \, dx\)
3.255
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{5/3}} \, dx\)
3.256
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{7/3}} \, dx\)
3.257
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{8/3}} \, dx\)
3.258
\(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{10/3}} \, dx\)
3.259
\(\int (e x)^m \sin (a+b (c+d x)^n) \, dx\)
3.260
\(\int x^3 \sin (a+b (c+d x)^n) \, dx\)
3.261
\(\int x^2 \sin (a+b (c+d x)^n) \, dx\)
3.262
\(\int x \sin (a+b (c+d x)^n) \, dx\)
3.263
\(\int \sin (a+b (c+d x)^n) \, dx\)
3.264
\(\int \frac{\sin (a+b (c+d x)^n)}{x} \, dx\)
3.265
\(\int \frac{\sin (a+b (c+d x)^n)}{x^2} \, dx\)
3.266
\(\int x^3 (a+b \sin (c+d (f+g x)^n)) \, dx\)
3.267
\(\int x^2 (a+b \sin (c+d (f+g x)^n)) \, dx\)
3.268
\(\int x (a+b \sin (c+d (f+g x)^n)) \, dx\)
3.269
\(\int (a+b \sin (c+d (f+g x)^n)) \, dx\)
3.270
\(\int \frac{a+b \sin (c+d (f+g x)^n)}{x} \, dx\)
3.271
\(\int \frac{a+b \sin (c+d (f+g x)^n)}{x^2} \, dx\)
3.272
\(\int x^2 (a+b \sin (c+d (f+g x)^n))^2 \, dx\)
3.273
\(\int x (a+b \sin (c+d (f+g x)^n))^2 \, dx\)
3.274
\(\int (a+b \sin (c+d (f+g x)^n))^2 \, dx\)
3.275
\(\int \frac{(a+b \sin (c+d (f+g x)^n))^2}{x} \, dx\)
3.276
\(\int \frac{(a+b \sin (c+d (f+g x)^n))^2}{x^2} \, dx\)
3.277
\(\int \frac{x^2}{a+b \sin (c+d (f+g x)^n)} \, dx\)
3.278
\(\int \frac{x}{a+b \sin (c+d (f+g x)^n)} \, dx\)
3.279
\(\int \frac{1}{a+b \sin (c+d (f+g x)^n)} \, dx\)
3.280
\(\int \frac{1}{x (a+b \sin (c+d (f+g x)^n))} \, dx\)
3.281
\(\int \frac{1}{x^2 (a+b \sin (c+d (f+g x)^n))} \, dx\)
3.282
\(\int \frac{x^2}{(a+b \sin (c+d (f+g x)^n))^2} \, dx\)
3.283
\(\int \frac{x}{(a+b \sin (c+d (f+g x)^n))^2} \, dx\)
3.284
\(\int \frac{1}{(a+b \sin (c+d (f+g x)^n))^2} \, dx\)
3.285
\(\int \frac{1}{x (a+b \sin (c+d (f+g x)^n))^2} \, dx\)
3.286
\(\int \frac{1}{x^2 (a+b \sin (c+d (f+g x)^n))^2} \, dx\)
3.287
\(\int (e x)^m (a+b \sin (c+d (f+g x)^n))^p \, dx\)
3.288
\(\int (e+f x)^2 (a+b \sin (c+\frac{d}{x})) \, dx\)
3.289
\(\int (e+f x) (a+b \sin (c+\frac{d}{x})) \, dx\)
3.290
\(\int (a+b \sin (c+\frac{d}{x})) \, dx\)
3.291
\(\int \frac{a+b \sin (c+\frac{d}{x})}{e+f x} \, dx\)
3.292
\(\int \frac{a+b \sin (c+\frac{d}{x})}{(e+f x)^2} \, dx\)
3.293
\(\int \frac{a+b \sin (c+\frac{d}{x})}{(e+f x)^3} \, dx\)
3.294
\(\int (e+f x) (a+b \sin (c+\frac{d}{x}))^2 \, dx\)
3.295
\(\int (a+b \sin (c+\frac{d}{x}))^2 \, dx\)
3.296
\(\int \frac{(a+b \sin (c+\frac{d}{x}))^2}{e+f x} \, dx\)
3.297
\(\int \frac{(a+b \sin (c+\frac{d}{x}))^2}{(e+f x)^2} \, dx\)
3.298
\(\int \frac{(a+b \sin (c+\frac{d}{x}))^2}{(e+f x)^3} \, dx\)
3.299
\(\int \frac{(e+f x)^2}{a+b \sin (c+\frac{d}{x})} \, dx\)
3.300
\(\int \frac{e+f x}{a+b \sin (c+\frac{d}{x})} \, dx\)
3.301
\(\int \frac{1}{a+b \sin (c+\frac{d}{x})} \, dx\)
3.302
\(\int \frac{e+f x}{a+b \sin (c+\frac{d}{x})} \, dx\)
3.303
\(\int \frac{(e+f x)^2}{a+b \sin (c+\frac{d}{x})} \, dx\)
3.304
\(\int \frac{(e+f x)^2}{(a+b \sin (c+\frac{d}{x}))^2} \, dx\)
3.305
\(\int \frac{e+f x}{(a+b \sin (c+\frac{d}{x}))^2} \, dx\)
3.306
\(\int \frac{1}{(a+b \sin (c+\frac{d}{x}))^2} \, dx\)
3.307
\(\int \frac{e+f x}{(a+b \sin (c+\frac{d}{x}))^2} \, dx\)
3.308
\(\int \frac{(e+f x)^2}{(a+b \sin (c+\frac{d}{x}))^2} \, dx\)
3.309
\(\int (e+f x)^m (a+b \sin (c+\frac{d}{x}))^p \, dx\)
3.310
\(\int x^m \sqrt [3]{c \sin ^3(a+b x)} \, dx\)
3.311
\(\int x^3 \sqrt [3]{c \sin ^3(a+b x)} \, dx\)
3.312
\(\int x^2 \sqrt [3]{c \sin ^3(a+b x)} \, dx\)
3.313
\(\int x \sqrt [3]{c \sin ^3(a+b x)} \, dx\)
3.314
\(\int \sqrt [3]{c \sin ^3(a+b x)} \, dx\)
3.315
\(\int \frac{\sqrt [3]{c \sin ^3(a+b x)}}{x} \, dx\)
3.316
\(\int \frac{\sqrt [3]{c \sin ^3(a+b x)}}{x^2} \, dx\)
3.317
\(\int \frac{\sqrt [3]{c \sin ^3(a+b x)}}{x^3} \, dx\)
3.318
\(\int x^m \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\)
3.319
\(\int x^3 \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\)
3.320
\(\int x^2 \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\)
3.321
\(\int x \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\)
3.322
\(\int \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\)
3.323
\(\int \frac{\sqrt [3]{c \sin ^3(a+b x^2)}}{x} \, dx\)
3.324
\(\int \frac{\sqrt [3]{c \sin ^3(a+b x^2)}}{x^2} \, dx\)
3.325
\(\int \frac{\sqrt [3]{c \sin ^3(a+b x^2)}}{x^3} \, dx\)
3.326
\(\int x^m \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\)
3.327
\(\int x^3 \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\)
3.328
\(\int x^2 \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\)
3.329
\(\int x \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\)
3.330
\(\int \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\)
3.331
\(\int \frac{\sqrt [3]{c \sin ^3(a+b x^n)}}{x} \, dx\)
3.332
\(\int \frac{\sqrt [3]{c \sin ^3(a+b x^n)}}{x^2} \, dx\)
3.333
\(\int \frac{\sqrt [3]{c \sin ^3(a+b x^n)}}{x^3} \, dx\)
3.334
\(\int x^m (c \sin ^3(a+b x))^{2/3} \, dx\)
3.335
\(\int x^3 (c \sin ^3(a+b x))^{2/3} \, dx\)
3.336
\(\int x^2 (c \sin ^3(a+b x))^{2/3} \, dx\)
3.337
\(\int x (c \sin ^3(a+b x))^{2/3} \, dx\)
3.338
\(\int (c \sin ^3(a+b x))^{2/3} \, dx\)
3.339
\(\int \frac{(c \sin ^3(a+b x))^{2/3}}{x} \, dx\)
3.340
\(\int \frac{(c \sin ^3(a+b x))^{2/3}}{x^2} \, dx\)
3.341
\(\int \frac{(c \sin ^3(a+b x))^{2/3}}{x^3} \, dx\)
3.342
\(\int x^m (c \sin ^3(a+b x^2))^{2/3} \, dx\)
3.343
\(\int x^3 (c \sin ^3(a+b x^2))^{2/3} \, dx\)
3.344
\(\int x^2 (c \sin ^3(a+b x^2))^{2/3} \, dx\)
3.345
\(\int x (c \sin ^3(a+b x^2))^{2/3} \, dx\)
3.346
\(\int (c \sin ^3(a+b x^2))^{2/3} \, dx\)
3.347
\(\int \frac{(c \sin ^3(a+b x^2))^{2/3}}{x} \, dx\)
3.348
\(\int \frac{(c \sin ^3(a+b x^2))^{2/3}}{x^2} \, dx\)
3.349
\(\int \frac{(c \sin ^3(a+b x^2))^{2/3}}{x^3} \, dx\)
3.350
\(\int x^m (c \sin ^3(a+b x^n))^{2/3} \, dx\)
3.351
\(\int x^3 (c \sin ^3(a+b x^n))^{2/3} \, dx\)
3.352
\(\int x^2 (c \sin ^3(a+b x^n))^{2/3} \, dx\)
3.353
\(\int x (c \sin ^3(a+b x^n))^{2/3} \, dx\)
3.354
\(\int (c \sin ^3(a+b x^n))^{2/3} \, dx\)
3.355
\(\int \frac{(c \sin ^3(a+b x^n))^{2/3}}{x} \, dx\)
3.356
\(\int \frac{(c \sin ^3(a+b x^n))^{2/3}}{x^2} \, dx\)
3.357
\(\int \frac{(c \sin ^3(a+b x^n))^{2/3}}{x^3} \, dx\)
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