Chapter 3
Listing of integrals

 3.1 \(\int x^7 S(b x) \, dx\)
 3.2 \(\int x^6 S(b x) \, dx\)
 3.3 \(\int x^5 S(b x) \, dx\)
 3.4 \(\int x^4 S(b x) \, dx\)
 3.5 \(\int x^3 S(b x) \, dx\)
 3.6 \(\int x^2 S(b x) \, dx\)
 3.7 \(\int x S(b x) \, dx\)
 3.8 \(\int S(b x) \, dx\)
 3.9 \(\int \frac{S(b x)}{x} \, dx\)
 3.10 \(\int \frac{S(b x)}{x^2} \, dx\)
 3.11 \(\int \frac{S(b x)}{x^3} \, dx\)
 3.12 \(\int \frac{S(b x)}{x^4} \, dx\)
 3.13 \(\int \frac{S(b x)}{x^5} \, dx\)
 3.14 \(\int \frac{S(b x)}{x^6} \, dx\)
 3.15 \(\int \frac{S(b x)}{x^7} \, dx\)
 3.16 \(\int \frac{S(b x)}{x^8} \, dx\)
 3.17 \(\int \frac{S(b x)}{x^9} \, dx\)
 3.18 \(\int \frac{S(b x)}{x^{10}} \, dx\)
 3.19 \(\int (c+d x)^3 S(a+b x) \, dx\)
 3.20 \(\int (c+d x)^2 S(a+b x) \, dx\)
 3.21 \(\int (c+d x) S(a+b x) \, dx\)
 3.22 \(\int S(a+b x) \, dx\)
 3.23 \(\int \frac{S(a+b x)}{c+d x} \, dx\)
 3.24 \(\int \frac{S(a+b x)}{(c+d x)^2} \, dx\)
 3.25 \(\int x^3 S(a+b x) \, dx\)
 3.26 \(\int x^2 S(a+b x) \, dx\)
 3.27 \(\int x S(a+b x) \, dx\)
 3.28 \(\int S(a+b x) \, dx\)
 3.29 \(\int \frac{S(a+b x)}{x} \, dx\)
 3.30 \(\int \frac{S(a+b x)}{x^2} \, dx\)
 3.31 \(\int x^7 S(b x)^2 \, dx\)
 3.32 \(\int x^6 S(b x)^2 \, dx\)
 3.33 \(\int x^5 S(b x)^2 \, dx\)
 3.34 \(\int x^4 S(b x)^2 \, dx\)
 3.35 \(\int x^3 S(b x)^2 \, dx\)
 3.36 \(\int x^2 S(b x)^2 \, dx\)
 3.37 \(\int x S(b x)^2 \, dx\)
 3.38 \(\int S(b x)^2 \, dx\)
 3.39 \(\int \frac{S(b x)^2}{x} \, dx\)
 3.40 \(\int \frac{S(b x)^2}{x^2} \, dx\)
 3.41 \(\int \frac{S(b x)^2}{x^3} \, dx\)
 3.42 \(\int \frac{S(b x)^2}{x^4} \, dx\)
 3.43 \(\int \frac{S(b x)^2}{x^5} \, dx\)
 3.44 \(\int \frac{S(b x)^2}{x^6} \, dx\)
 3.45 \(\int \frac{S(b x)^2}{x^7} \, dx\)
 3.46 \(\int \frac{S(b x)^2}{x^8} \, dx\)
 3.47 \(\int \frac{S(b x)^2}{x^9} \, dx\)
 3.48 \(\int \frac{S(b x)^2}{x^{10}} \, dx\)
 3.49 \(\int (c+d x)^2 S(a+b x)^2 \, dx\)
 3.50 \(\int (c+d x) S(a+b x)^2 \, dx\)
 3.51 \(\int S(a+b x)^2 \, dx\)
 3.52 \(\int \frac{S(a+b x)^2}{c+d x} \, dx\)
 3.53 \(\int \frac{S(a+b x)^2}{(c+d x)^2} \, dx\)
 3.54 \(\int x^2 S(d (a+b \log (c x^n))) \, dx\)
 3.55 \(\int x S(d (a+b \log (c x^n))) \, dx\)
 3.56 \(\int S(d (a+b \log (c x^n))) \, dx\)
 3.57 \(\int \frac{S(d (a+b \log (c x^n)))}{x} \, dx\)
 3.58 \(\int \frac{S(d (a+b \log (c x^n)))}{x^2} \, dx\)
 3.59 \(\int \frac{S(d (a+b \log (c x^n)))}{x^3} \, dx\)
 3.60 \(\int (e x)^m S(d (a+b \log (c x^n))) \, dx\)
 3.61 \(\int e^{c+\frac{1}{2} i b^2 \pi x^2} S(b x) \, dx\)
 3.62 \(\int e^{c-\frac{1}{2} i b^2 \pi x^2} S(b x) \, dx\)
 3.63 \(\int S(b x) \sin (c+\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.64 \(\int \cos (c+\frac{1}{2} b^2 \pi x^2) S(b x) \, dx\)
 3.65 \(\int S(b x)^2 \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.66 \(\int S(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.67 \(\int \frac{\sin (\frac{1}{2} b^2 \pi x^2)}{S(b x)} \, dx\)
 3.68 \(\int \frac{\sin (\frac{1}{2} b^2 \pi x^2)}{S(b x)^2} \, dx\)
 3.69 \(\int \frac{\sin (\frac{1}{2} b^2 \pi x^2)}{S(b x)^3} \, dx\)
 3.70 \(\int S(b x)^n \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.71 \(\int x^8 S(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.72 \(\int x^7 S(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.73 \(\int x^6 S(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.74 \(\int x^5 S(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.75 \(\int x^4 S(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.76 \(\int x^3 S(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.77 \(\int x^2 S(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.78 \(\int x S(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.79 \(\int S(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.80 \(\int \frac{S(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x} \, dx\)
 3.81 \(\int \frac{S(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^2} \, dx\)
 3.82 \(\int \frac{S(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^3} \, dx\)
 3.83 \(\int \frac{S(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^4} \, dx\)
 3.84 \(\int \frac{S(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^5} \, dx\)
 3.85 \(\int \frac{S(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^6} \, dx\)
 3.86 \(\int \frac{S(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^7} \, dx\)
 3.87 \(\int \frac{S(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^8} \, dx\)
 3.88 \(\int \frac{S(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^9} \, dx\)
 3.89 \(\int \frac{S(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^{10}} \, dx\)
 3.90 \(\int \cos (\frac{1}{2} b^2 \pi x^2) S(b x)^n \, dx\)
 3.91 \(\int x^8 \cos (\frac{1}{2} b^2 \pi x^2) S(b x) \, dx\)
 3.92 \(\int x^7 \cos (\frac{1}{2} b^2 \pi x^2) S(b x) \, dx\)
 3.93 \(\int x^6 \cos (\frac{1}{2} b^2 \pi x^2) S(b x) \, dx\)
 3.94 \(\int x^5 \cos (\frac{1}{2} b^2 \pi x^2) S(b x) \, dx\)
 3.95 \(\int x^4 \cos (\frac{1}{2} b^2 \pi x^2) S(b x) \, dx\)
 3.96 \(\int x^3 \cos (\frac{1}{2} b^2 \pi x^2) S(b x) \, dx\)
 3.97 \(\int x^2 \cos (\frac{1}{2} b^2 \pi x^2) S(b x) \, dx\)
 3.98 \(\int x \cos (\frac{1}{2} b^2 \pi x^2) S(b x) \, dx\)
 3.99 \(\int \cos (\frac{1}{2} b^2 \pi x^2) S(b x) \, dx\)
 3.100 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) S(b x)}{x} \, dx\)
 3.101 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) S(b x)}{x^2} \, dx\)
 3.102 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) S(b x)}{x^3} \, dx\)
 3.103 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) S(b x)}{x^4} \, dx\)
 3.104 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) S(b x)}{x^5} \, dx\)
 3.105 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) S(b x)}{x^6} \, dx\)
 3.106 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) S(b x)}{x^7} \, dx\)
 3.107 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) S(b x)}{x^8} \, dx\)
 3.108 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) S(b x)}{x^9} \, dx\)
 3.109 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) S(b x)}{x^{10}} \, dx\)
 3.110 \(\int x^7 \text{FresnelC}(b x) \, dx\)
 3.111 \(\int x^6 \text{FresnelC}(b x) \, dx\)
 3.112 \(\int x^5 \text{FresnelC}(b x) \, dx\)
 3.113 \(\int x^4 \text{FresnelC}(b x) \, dx\)
 3.114 \(\int x^3 \text{FresnelC}(b x) \, dx\)
 3.115 \(\int x^2 \text{FresnelC}(b x) \, dx\)
 3.116 \(\int x \text{FresnelC}(b x) \, dx\)
 3.117 \(\int \text{FresnelC}(b x) \, dx\)
 3.118 \(\int \frac{\text{FresnelC}(b x)}{x} \, dx\)
 3.119 \(\int \frac{\text{FresnelC}(b x)}{x^2} \, dx\)
 3.120 \(\int \frac{\text{FresnelC}(b x)}{x^3} \, dx\)
 3.121 \(\int \frac{\text{FresnelC}(b x)}{x^4} \, dx\)
 3.122 \(\int \frac{\text{FresnelC}(b x)}{x^5} \, dx\)
 3.123 \(\int \frac{\text{FresnelC}(b x)}{x^6} \, dx\)
 3.124 \(\int \frac{\text{FresnelC}(b x)}{x^7} \, dx\)
 3.125 \(\int \frac{\text{FresnelC}(b x)}{x^8} \, dx\)
 3.126 \(\int \frac{\text{FresnelC}(b x)}{x^9} \, dx\)
 3.127 \(\int \frac{\text{FresnelC}(b x)}{x^{10}} \, dx\)
 3.128 \(\int (c+d x)^3 \text{FresnelC}(a+b x) \, dx\)
 3.129 \(\int (c+d x)^2 \text{FresnelC}(a+b x) \, dx\)
 3.130 \(\int (c+d x) \text{FresnelC}(a+b x) \, dx\)
 3.131 \(\int \text{FresnelC}(a+b x) \, dx\)
 3.132 \(\int \frac{\text{FresnelC}(a+b x)}{c+d x} \, dx\)
 3.133 \(\int \frac{\text{FresnelC}(a+b x)}{(c+d x)^2} \, dx\)
 3.134 \(\int x^3 \text{FresnelC}(a+b x) \, dx\)
 3.135 \(\int x^2 \text{FresnelC}(a+b x) \, dx\)
 3.136 \(\int x \text{FresnelC}(a+b x) \, dx\)
 3.137 \(\int \text{FresnelC}(a+b x) \, dx\)
 3.138 \(\int \frac{\text{FresnelC}(a+b x)}{x} \, dx\)
 3.139 \(\int \frac{\text{FresnelC}(a+b x)}{x^2} \, dx\)
 3.140 \(\int x^7 \text{FresnelC}(b x)^2 \, dx\)
 3.141 \(\int x^6 \text{FresnelC}(b x)^2 \, dx\)
 3.142 \(\int x^5 \text{FresnelC}(b x)^2 \, dx\)
 3.143 \(\int x^4 \text{FresnelC}(b x)^2 \, dx\)
 3.144 \(\int x^3 \text{FresnelC}(b x)^2 \, dx\)
 3.145 \(\int x^2 \text{FresnelC}(b x)^2 \, dx\)
 3.146 \(\int x \text{FresnelC}(b x)^2 \, dx\)
 3.147 \(\int \text{FresnelC}(b x)^2 \, dx\)
 3.148 \(\int \frac{\text{FresnelC}(b x)^2}{x} \, dx\)
 3.149 \(\int \frac{\text{FresnelC}(b x)^2}{x^2} \, dx\)
 3.150 \(\int \frac{\text{FresnelC}(b x)^2}{x^3} \, dx\)
 3.151 \(\int \frac{\text{FresnelC}(b x)^2}{x^4} \, dx\)
 3.152 \(\int \frac{\text{FresnelC}(b x)^2}{x^5} \, dx\)
 3.153 \(\int \frac{\text{FresnelC}(b x)^2}{x^6} \, dx\)
 3.154 \(\int \frac{\text{FresnelC}(b x)^2}{x^7} \, dx\)
 3.155 \(\int \frac{\text{FresnelC}(b x)^2}{x^8} \, dx\)
 3.156 \(\int \frac{\text{FresnelC}(b x)^2}{x^9} \, dx\)
 3.157 \(\int \frac{\text{FresnelC}(b x)^2}{x^{10}} \, dx\)
 3.158 \(\int (c+d x)^2 \text{FresnelC}(a+b x)^2 \, dx\)
 3.159 \(\int (c+d x) \text{FresnelC}(a+b x)^2 \, dx\)
 3.160 \(\int \text{FresnelC}(a+b x)^2 \, dx\)
 3.161 \(\int \frac{\text{FresnelC}(a+b x)^2}{c+d x} \, dx\)
 3.162 \(\int \frac{\text{FresnelC}(a+b x)^2}{(c+d x)^2} \, dx\)
 3.163 \(\int x^2 \text{FresnelC}(d (a+b \log (c x^n))) \, dx\)
 3.164 \(\int x \text{FresnelC}(d (a+b \log (c x^n))) \, dx\)
 3.165 \(\int \text{FresnelC}(d (a+b \log (c x^n))) \, dx\)
 3.166 \(\int \frac{\text{FresnelC}(d (a+b \log (c x^n)))}{x} \, dx\)
 3.167 \(\int \frac{\text{FresnelC}(d (a+b \log (c x^n)))}{x^2} \, dx\)
 3.168 \(\int \frac{\text{FresnelC}(d (a+b \log (c x^n)))}{x^3} \, dx\)
 3.169 \(\int (e x)^m \text{FresnelC}(d (a+b \log (c x^n))) \, dx\)
 3.170 \(\int e^{c+\frac{1}{2} i b^2 \pi x^2} \text{FresnelC}(b x) \, dx\)
 3.171 \(\int e^{c-\frac{1}{2} i b^2 \pi x^2} \text{FresnelC}(b x) \, dx\)
 3.172 \(\int \text{FresnelC}(b x) \sin (c+\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.173 \(\int \cos (c+\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.174 \(\int \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)^2 \, dx\)
 3.175 \(\int \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.176 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2)}{\text{FresnelC}(b x)} \, dx\)
 3.177 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2)}{\text{FresnelC}(b x)^2} \, dx\)
 3.178 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2)}{\text{FresnelC}(b x)^3} \, dx\)
 3.179 \(\int \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)^n \, dx\)
 3.180 \(\int x^8 \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.181 \(\int x^7 \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.182 \(\int x^6 \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.183 \(\int x^5 \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.184 \(\int x^4 \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.185 \(\int x^3 \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.186 \(\int x^2 \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.187 \(\int x \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.188 \(\int \cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x) \, dx\)
 3.189 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)}{x} \, dx\)
 3.190 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)}{x^2} \, dx\)
 3.191 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)}{x^3} \, dx\)
 3.192 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)}{x^4} \, dx\)
 3.193 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)}{x^5} \, dx\)
 3.194 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)}{x^6} \, dx\)
 3.195 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)}{x^7} \, dx\)
 3.196 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)}{x^8} \, dx\)
 3.197 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)}{x^9} \, dx\)
 3.198 \(\int \frac{\cos (\frac{1}{2} b^2 \pi x^2) \text{FresnelC}(b x)}{x^{10}} \, dx\)
 3.199 \(\int \text{FresnelC}(b x)^n \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.200 \(\int x^8 \text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.201 \(\int x^7 \text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.202 \(\int x^6 \text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.203 \(\int x^5 \text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.204 \(\int x^4 \text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.205 \(\int x^3 \text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.206 \(\int x^2 \text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.207 \(\int x \text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.208 \(\int \text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2) \, dx\)
 3.209 \(\int \frac{\text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x} \, dx\)
 3.210 \(\int \frac{\text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^2} \, dx\)
 3.211 \(\int \frac{\text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^3} \, dx\)
 3.212 \(\int \frac{\text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^4} \, dx\)
 3.213 \(\int \frac{\text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^5} \, dx\)
 3.214 \(\int \frac{\text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^6} \, dx\)
 3.215 \(\int \frac{\text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^7} \, dx\)
 3.216 \(\int \frac{\text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^8} \, dx\)
 3.217 \(\int \frac{\text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^9} \, dx\)
 3.218 \(\int \frac{\text{FresnelC}(b x) \sin (\frac{1}{2} b^2 \pi x^2)}{x^{10}} \, dx\)