3.4.1 \(\int \genfrac {}{}{}{}{e^{5 i \text {ArcTan}(a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [301]
  3.4.2 \(\int \genfrac {}{}{}{}{e^{4 i \text {ArcTan}(a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [302]
  3.4.3 \(\int \genfrac {}{}{}{}{e^{3 i \text {ArcTan}(a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [303]
  3.4.4 \(\int \genfrac {}{}{}{}{e^{2 i \text {ArcTan}(a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [304]
  3.4.5 \(\int \genfrac {}{}{}{}{e^{i \text {ArcTan}(a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [305]
  3.4.6 \(\int \genfrac {}{}{}{}{e^{-i \text {ArcTan}(a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [306]
  3.4.7 \(\int \genfrac {}{}{}{}{e^{-2 i \text {ArcTan}(a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [307]
  3.4.8 \(\int \genfrac {}{}{}{}{e^{-3 i \text {ArcTan}(a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [308]
  3.4.9 \(\int \genfrac {}{}{}{}{e^{-4 i \text {ArcTan}(a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [309]
  3.4.10 \(\int \genfrac {}{}{}{}{e^{5 i \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [310]
  3.4.11 \(\int \genfrac {}{}{}{}{e^{4 i \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [311]
  3.4.12 \(\int \genfrac {}{}{}{}{e^{3 i \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [312]
  3.4.13 \(\int \genfrac {}{}{}{}{e^{2 i \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [313]
  3.4.14 \(\int \genfrac {}{}{}{}{e^{i \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [314]
  3.4.15 \(\int \genfrac {}{}{}{}{e^{-i \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [315]
  3.4.16 \(\int \genfrac {}{}{}{}{e^{-2 i \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [316]
  3.4.17 \(\int \genfrac {}{}{}{}{e^{-3 i \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [317]
  3.4.18 \(\int \genfrac {}{}{}{}{e^{-4 i \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [318]
  3.4.19 \(\int \genfrac {}{}{}{}{e^{5 i \text {ArcTan}(a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [319]
  3.4.20 \(\int \genfrac {}{}{}{}{e^{4 i \text {ArcTan}(a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [320]
  3.4.21 \(\int \genfrac {}{}{}{}{e^{3 i \text {ArcTan}(a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [321]
  3.4.22 \(\int \genfrac {}{}{}{}{e^{2 i \text {ArcTan}(a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [322]
  3.4.23 \(\int \genfrac {}{}{}{}{e^{i \text {ArcTan}(a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [323]
  3.4.24 \(\int \genfrac {}{}{}{}{e^{-i \text {ArcTan}(a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [324]
  3.4.25 \(\int \genfrac {}{}{}{}{e^{-2 i \text {ArcTan}(a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [325]
  3.4.26 \(\int \genfrac {}{}{}{}{e^{-3 i \text {ArcTan}(a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [326]
  3.4.27 \(\int \genfrac {}{}{}{}{e^{-4 i \text {ArcTan}(a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [327]
  3.4.28 \(\int \genfrac {}{}{}{}{e^{5 i \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [328]
  3.4.29 \(\int \genfrac {}{}{}{}{e^{4 i \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [329]
  3.4.30 \(\int \genfrac {}{}{}{}{e^{3 i \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [330]
  3.4.31 \(\int \genfrac {}{}{}{}{e^{2 i \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [331]
  3.4.32 \(\int \genfrac {}{}{}{}{e^{i \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [332]
  3.4.33 \(\int \genfrac {}{}{}{}{e^{-i \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [333]
  3.4.34 \(\int \genfrac {}{}{}{}{e^{-2 i \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [334]
  3.4.35 \(\int \genfrac {}{}{}{}{e^{-3 i \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [335]
  3.4.36 \(\int \genfrac {}{}{}{}{e^{-4 i \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [336]
  3.4.37 \(\int e^{n \text {ArcTan}(a x)} (c+a^2 c x^2)^2 \, dx\) [337]
  3.4.38 \(\int e^{n \text {ArcTan}(a x)} (c+a^2 c x^2) \, dx\) [338]
  3.4.39 \(\int e^{n \text {ArcTan}(a x)} \, dx\) [339]
  3.4.40 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x^3}{c+a^2 c x^2} \, dx\) [340]
  3.4.41 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x^2}{c+a^2 c x^2} \, dx\) [341]
  3.4.42 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x}{c+a^2 c x^2} \, dx\) [342]
  3.4.43 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{c+a^2 c x^2} \, dx\) [343]
  3.4.44 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{x (c+a^2 c x^2)} \, dx\) [344]
  3.4.45 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{x^2 (c+a^2 c x^2)} \, dx\) [345]
  3.4.46 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{x^3 (c+a^2 c x^2)} \, dx\) [346]
  3.4.47 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{(c+a^2 c x^2)^4} \, dx\) [347]
  3.4.48 \(\int e^{n \text {ArcTan}(a x)} (c+a^2 c x^2)^{3/2} \, dx\) [348]
  3.4.49 \(\int e^{n \text {ArcTan}(a x)} \sqrt {c+a^2 c x^2} \, dx\) [349]
  3.4.50 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [350]
  3.4.51 \(\int e^{n \text {ArcTan}(a x)} x^2 (c+a^2 c x^2)^{3/2} \, dx\) [351]
  3.4.52 \(\int e^{n \text {ArcTan}(a x)} x^2 \sqrt {c+a^2 c x^2} \, dx\) [352]
  3.4.53 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x^3}{\sqrt {c+a^2 c x^2}} \, dx\) [353]
  3.4.54 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x^2}{\sqrt {c+a^2 c x^2}} \, dx\) [354]
  3.4.55 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x}{\sqrt {c+a^2 c x^2}} \, dx\) [355]
  3.4.56 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [356]
  3.4.57 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{x \sqrt {c+a^2 c x^2}} \, dx\) [357]
  3.4.58 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{x^2 \sqrt {c+a^2 c x^2}} \, dx\) [358]
  3.4.59 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{x^3 \sqrt {c+a^2 c x^2}} \, dx\) [359]
  3.4.60 \(\int e^{n \text {ArcTan}(a x)} \sqrt [3]{c+a^2 c x^2} \, dx\) [360]
  3.4.61 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{\sqrt [3]{c+a^2 c x^2}} \, dx\) [361]
  3.4.62 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{2/3}} \, dx\) [362]
  3.4.63 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)}}{(c+a^2 c x^2)^{4/3}} \, dx\) [363]
  3.4.64 \(\int e^{n \text {ArcTan}(a x)} x^m (c+a^2 c x^2) \, dx\) [364]
  3.4.65 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x^m}{c+a^2 c x^2} \, dx\) [365]
  3.4.66 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x^m}{(c+a^2 c x^2)^2} \, dx\) [366]
  3.4.67 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x^m}{(c+a^2 c x^2)^3} \, dx\) [367]
  3.4.68 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x^m}{\sqrt {c+a^2 c x^2}} \, dx\) [368]
  3.4.69 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x^m}{(c+a^2 c x^2)^{3/2}} \, dx\) [369]
  3.4.70 \(\int \genfrac {}{}{}{}{e^{n \text {ArcTan}(a x)} x^m}{(c+a^2 c x^2)^{5/2}} \, dx\) [370]
  3.4.71 \(\int e^{n \text {ArcTan}(a x)} (c+a^2 c x^2)^p \, dx\) [371]
  3.4.72 \(\int e^{-2 i p \text {ArcTan}(a x)} (c+a^2 c x^2)^p \, dx\) [372]
  3.4.73 \(\int e^{2 i p \text {ArcTan}(a x)} (c+a^2 c x^2)^p \, dx\) [373]
  3.4.74 \(\int e^{i n \text {ArcTan}(a x)} x^2 (c+a^2 c x^2)^{-1-\genfrac {}{}{}{}{n^2}{2}} \, dx\) [374]
  3.4.75 \(\int \genfrac {}{}{}{}{e^{6 i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^{19}} \, dx\) [375]
  3.4.76 \(\int \genfrac {}{}{}{}{e^{4 i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^9} \, dx\) [376]
  3.4.77 \(\int \genfrac {}{}{}{}{e^{2 i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^3} \, dx\) [377]
  3.4.78 \(\int \genfrac {}{}{}{}{e^{-2 i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^3} \, dx\) [378]
  3.4.79 \(\int \genfrac {}{}{}{}{e^{-4 i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^9} \, dx\) [379]
  3.4.80 \(\int \genfrac {}{}{}{}{e^{5 i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^{27/2}} \, dx\) [380]
  3.4.81 \(\int \genfrac {}{}{}{}{e^{3 i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^{11/2}} \, dx\) [381]
  3.4.82 \(\int \genfrac {}{}{}{}{e^{i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^{3/2}} \, dx\) [382]
  3.4.83 \(\int \genfrac {}{}{}{}{e^{-i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^{3/2}} \, dx\) [383]
  3.4.84 \(\int \genfrac {}{}{}{}{e^{-3 i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^{11/2}} \, dx\) [384]
  3.4.85 \(\int \genfrac {}{}{}{}{e^{-5 i \text {ArcTan}(a x)} x^2}{(c+a^2 c x^2)^{27/2}} \, dx\) [385]