\(\int \genfrac {}{}{}{}{e^{5 i \arctan (a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [301]
   \(\int \genfrac {}{}{}{}{e^{4 i \arctan (a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [302]
   \(\int \genfrac {}{}{}{}{e^{3 i \arctan (a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [303]
   \(\int \genfrac {}{}{}{}{e^{2 i \arctan (a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [304]
   \(\int \genfrac {}{}{}{}{e^{i \arctan (a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [305]
   \(\int \genfrac {}{}{}{}{e^{-i \arctan (a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [306]
   \(\int \genfrac {}{}{}{}{e^{-2 i \arctan (a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [307]
   \(\int \genfrac {}{}{}{}{e^{-3 i \arctan (a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [308]
   \(\int \genfrac {}{}{}{}{e^{-4 i \arctan (a x)}}{\sqrt {1+a^2 x^2}} \, dx\) [309]
   \(\int \genfrac {}{}{}{}{e^{5 i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [310]
   \(\int \genfrac {}{}{}{}{e^{4 i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [311]
   \(\int \genfrac {}{}{}{}{e^{3 i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [312]
   \(\int \genfrac {}{}{}{}{e^{2 i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [313]
   \(\int \genfrac {}{}{}{}{e^{i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [314]
   \(\int \genfrac {}{}{}{}{e^{-i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [315]
   \(\int \genfrac {}{}{}{}{e^{-2 i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [316]
   \(\int \genfrac {}{}{}{}{e^{-3 i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [317]
   \(\int \genfrac {}{}{}{}{e^{-4 i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [318]
   \(\int \genfrac {}{}{}{}{e^{5 i \arctan (a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [319]
   \(\int \genfrac {}{}{}{}{e^{4 i \arctan (a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [320]
   \(\int \genfrac {}{}{}{}{e^{3 i \arctan (a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [321]
   \(\int \genfrac {}{}{}{}{e^{2 i \arctan (a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [322]
   \(\int \genfrac {}{}{}{}{e^{i \arctan (a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [323]
   \(\int \genfrac {}{}{}{}{e^{-i \arctan (a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [324]
   \(\int \genfrac {}{}{}{}{e^{-2 i \arctan (a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [325]
   \(\int \genfrac {}{}{}{}{e^{-3 i \arctan (a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [326]
   \(\int \genfrac {}{}{}{}{e^{-4 i \arctan (a x)}}{(1+a^2 x^2)^{3/2}} \, dx\) [327]
   \(\int \genfrac {}{}{}{}{e^{5 i \arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [328]
   \(\int \genfrac {}{}{}{}{e^{4 i \arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [329]
   \(\int \genfrac {}{}{}{}{e^{3 i \arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [330]
   \(\int \genfrac {}{}{}{}{e^{2 i \arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [331]
   \(\int \genfrac {}{}{}{}{e^{i \arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [332]
   \(\int \genfrac {}{}{}{}{e^{-i \arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [333]
   \(\int \genfrac {}{}{}{}{e^{-2 i \arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [334]
   \(\int \genfrac {}{}{}{}{e^{-3 i \arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [335]
   \(\int \genfrac {}{}{}{}{e^{-4 i \arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [336]
   \(\int e^{n \arctan (a x)} (c+a^2 c x^2)^2 \, dx\) [337]
   \(\int e^{n \arctan (a x)} (c+a^2 c x^2) \, dx\) [338]
   \(\int e^{n \arctan (a x)} \, dx\) [339]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x^3}{c+a^2 c x^2} \, dx\) [340]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x^2}{c+a^2 c x^2} \, dx\) [341]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x}{c+a^2 c x^2} \, dx\) [342]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{c+a^2 c x^2} \, dx\) [343]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{x (c+a^2 c x^2)} \, dx\) [344]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{x^2 (c+a^2 c x^2)} \, dx\) [345]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{x^3 (c+a^2 c x^2)} \, dx\) [346]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{(c+a^2 c x^2)^4} \, dx\) [347]
   \(\int e^{n \arctan (a x)} (c+a^2 c x^2)^{3/2} \, dx\) [348]
   \(\int e^{n \arctan (a x)} \sqrt {c+a^2 c x^2} \, dx\) [349]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [350]
   \(\int e^{n \arctan (a x)} x^2 (c+a^2 c x^2)^{3/2} \, dx\) [351]
   \(\int e^{n \arctan (a x)} x^2 \sqrt {c+a^2 c x^2} \, dx\) [352]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x^3}{\sqrt {c+a^2 c x^2}} \, dx\) [353]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x^2}{\sqrt {c+a^2 c x^2}} \, dx\) [354]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x}{\sqrt {c+a^2 c x^2}} \, dx\) [355]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [356]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{x \sqrt {c+a^2 c x^2}} \, dx\) [357]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{x^2 \sqrt {c+a^2 c x^2}} \, dx\) [358]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{x^3 \sqrt {c+a^2 c x^2}} \, dx\) [359]
   \(\int e^{n \arctan (a x)} \sqrt [3]{c+a^2 c x^2} \, dx\) [360]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{\sqrt [3]{c+a^2 c x^2}} \, dx\) [361]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{(c+a^2 c x^2)^{2/3}} \, dx\) [362]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)}}{(c+a^2 c x^2)^{4/3}} \, dx\) [363]
   \(\int e^{n \arctan (a x)} x^m (c+a^2 c x^2) \, dx\) [364]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x^m}{c+a^2 c x^2} \, dx\) [365]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x^m}{(c+a^2 c x^2)^2} \, dx\) [366]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x^m}{(c+a^2 c x^2)^3} \, dx\) [367]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x^m}{\sqrt {c+a^2 c x^2}} \, dx\) [368]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x^m}{(c+a^2 c x^2)^{3/2}} \, dx\) [369]
   \(\int \genfrac {}{}{}{}{e^{n \arctan (a x)} x^m}{(c+a^2 c x^2)^{5/2}} \, dx\) [370]
   \(\int e^{n \arctan (a x)} (c+a^2 c x^2)^p \, dx\) [371]
   \(\int e^{-2 i p \arctan (a x)} (c+a^2 c x^2)^p \, dx\) [372]
   \(\int e^{2 i p \arctan (a x)} (c+a^2 c x^2)^p \, dx\) [373]
   \(\int e^{i n \arctan (a x)} x^2 (c+a^2 c x^2)^{-1-\genfrac {}{}{}{}{n^2}{2}} \, dx\) [374]
   \(\int \genfrac {}{}{}{}{e^{6 i \arctan (a x)} x^2}{(c+a^2 c x^2)^{19}} \, dx\) [375]
   \(\int \genfrac {}{}{}{}{e^{4 i \arctan (a x)} x^2}{(c+a^2 c x^2)^9} \, dx\) [376]
   \(\int \genfrac {}{}{}{}{e^{2 i \arctan (a x)} x^2}{(c+a^2 c x^2)^3} \, dx\) [377]
   \(\int \genfrac {}{}{}{}{e^{-2 i \arctan (a x)} x^2}{(c+a^2 c x^2)^3} \, dx\) [378]
   \(\int \genfrac {}{}{}{}{e^{-4 i \arctan (a x)} x^2}{(c+a^2 c x^2)^9} \, dx\) [379]
   \(\int \genfrac {}{}{}{}{e^{5 i \arctan (a x)} x^2}{(c+a^2 c x^2)^{27/2}} \, dx\) [380]
   \(\int \genfrac {}{}{}{}{e^{3 i \arctan (a x)} x^2}{(c+a^2 c x^2)^{11/2}} \, dx\) [381]
   \(\int \genfrac {}{}{}{}{e^{i \arctan (a x)} x^2}{(c+a^2 c x^2)^{3/2}} \, dx\) [382]
   \(\int \genfrac {}{}{}{}{e^{-i \arctan (a x)} x^2}{(c+a^2 c x^2)^{3/2}} \, dx\) [383]
   \(\int \genfrac {}{}{}{}{e^{-3 i \arctan (a x)} x^2}{(c+a^2 c x^2)^{11/2}} \, dx\) [384]
   \(\int \genfrac {}{}{}{}{e^{-5 i \arctan (a x)} x^2}{(c+a^2 c x^2)^{27/2}} \, dx\) [385]