\(\int \genfrac {}{}{}{}{\arctan (a x)^{5/2}}{x^4 \sqrt {c+a^2 c x^2}} \, dx\) [901]
   \(\int \genfrac {}{}{}{}{x^m \arctan (a x)^{5/2}}{(c+a^2 c x^2)^{3/2}} \, dx\) [902]
   \(\int \genfrac {}{}{}{}{x^2 \arctan (a x)^{5/2}}{(c+a^2 c x^2)^{3/2}} \, dx\) [903]
   \(\int \genfrac {}{}{}{}{x \arctan (a x)^{5/2}}{(c+a^2 c x^2)^{3/2}} \, dx\) [904]
   \(\int \genfrac {}{}{}{}{\arctan (a x)^{5/2}}{(c+a^2 c x^2)^{3/2}} \, dx\) [905]
   \(\int \genfrac {}{}{}{}{\arctan (a x)^{5/2}}{x (c+a^2 c x^2)^{3/2}} \, dx\) [906]
   \(\int \genfrac {}{}{}{}{x^m \arctan (a x)^{5/2}}{(c+a^2 c x^2)^{5/2}} \, dx\) [907]
   \(\int \genfrac {}{}{}{}{x^4 \arctan (a x)^{5/2}}{(c+a^2 c x^2)^{5/2}} \, dx\) [908]
   \(\int \genfrac {}{}{}{}{x^3 \arctan (a x)^{5/2}}{(c+a^2 c x^2)^{5/2}} \, dx\) [909]
   \(\int \genfrac {}{}{}{}{x^2 \arctan (a x)^{5/2}}{(c+a^2 c x^2)^{5/2}} \, dx\) [910]
   \(\int \genfrac {}{}{}{}{x \arctan (a x)^{5/2}}{(c+a^2 c x^2)^{5/2}} \, dx\) [911]
   \(\int \genfrac {}{}{}{}{\arctan (a x)^{5/2}}{(c+a^2 c x^2)^{5/2}} \, dx\) [912]
   \(\int \genfrac {}{}{}{}{\arctan (a x)^{5/2}}{x (c+a^2 c x^2)^{5/2}} \, dx\) [913]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)}{\sqrt {\arctan (a x)}} \, dx\) [914]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)}{\sqrt {\arctan (a x)}} \, dx\) [915]
   \(\int \genfrac {}{}{}{}{c+a^2 c x^2}{\sqrt {\arctan (a x)}} \, dx\) [916]
   \(\int \genfrac {}{}{}{}{c+a^2 c x^2}{x \sqrt {\arctan (a x)}} \, dx\) [917]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^2}{\sqrt {\arctan (a x)}} \, dx\) [918]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^2}{\sqrt {\arctan (a x)}} \, dx\) [919]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2}{\sqrt {\arctan (a x)}} \, dx\) [920]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2}{x \sqrt {\arctan (a x)}} \, dx\) [921]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^3}{\sqrt {\arctan (a x)}} \, dx\) [922]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^3}{\sqrt {\arctan (a x)}} \, dx\) [923]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3}{\sqrt {\arctan (a x)}} \, dx\) [924]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3}{x \sqrt {\arctan (a x)}} \, dx\) [925]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2) \sqrt {\arctan (a x)}} \, dx\) [926]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2) \sqrt {\arctan (a x)}} \, dx\) [927]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2) \sqrt {\arctan (a x)}} \, dx\) [928]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2) \sqrt {\arctan (a x)}} \, dx\) [929]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^2 \sqrt {\arctan (a x)}} \, dx\) [930]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^2 \sqrt {\arctan (a x)}} \, dx\) [931]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^2 \sqrt {\arctan (a x)}} \, dx\) [932]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^2 \sqrt {\arctan (a x)}} \, dx\) [933]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^2 \sqrt {\arctan (a x)}} \, dx\) [934]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^2 \sqrt {\arctan (a x)}} \, dx\) [935]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^3 \sqrt {\arctan (a x)}} \, dx\) [936]
   \(\int \genfrac {}{}{}{}{x^5}{(c+a^2 c x^2)^3 \sqrt {\arctan (a x)}} \, dx\) [937]
   \(\int \genfrac {}{}{}{}{x^4}{(c+a^2 c x^2)^3 \sqrt {\arctan (a x)}} \, dx\) [938]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^3 \sqrt {\arctan (a x)}} \, dx\) [939]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^3 \sqrt {\arctan (a x)}} \, dx\) [940]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^3 \sqrt {\arctan (a x)}} \, dx\) [941]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^3 \sqrt {\arctan (a x)}} \, dx\) [942]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^3 \sqrt {\arctan (a x)}} \, dx\) [943]
   \(\int \genfrac {}{}{}{}{x^m \sqrt {c+a^2 c x^2}}{\sqrt {\arctan (a x)}} \, dx\) [944]
   \(\int \genfrac {}{}{}{}{x \sqrt {c+a^2 c x^2}}{\sqrt {\arctan (a x)}} \, dx\) [945]
   \(\int \genfrac {}{}{}{}{\sqrt {c+a^2 c x^2}}{\sqrt {\arctan (a x)}} \, dx\) [946]
   \(\int \genfrac {}{}{}{}{\sqrt {c+a^2 c x^2}}{x \sqrt {\arctan (a x)}} \, dx\) [947]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^{3/2}}{\sqrt {\arctan (a x)}} \, dx\) [948]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^{3/2}}{\sqrt {\arctan (a x)}} \, dx\) [949]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{3/2}}{\sqrt {\arctan (a x)}} \, dx\) [950]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{3/2}}{x \sqrt {\arctan (a x)}} \, dx\) [951]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^{5/2}}{\sqrt {\arctan (a x)}} \, dx\) [952]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^{5/2}}{\sqrt {\arctan (a x)}} \, dx\) [953]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{5/2}}{\sqrt {\arctan (a x)}} \, dx\) [954]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{5/2}}{x \sqrt {\arctan (a x)}} \, dx\) [955]
   \(\int \genfrac {}{}{}{}{x^m}{\sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)}} \, dx\) [956]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)}} \, dx\) [957]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)}} \, dx\) [958]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)}} \, dx\) [959]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^{3/2} \sqrt {\arctan (a x)}} \, dx\) [960]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^{3/2} \sqrt {\arctan (a x)}} \, dx\) [961]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^{3/2} \sqrt {\arctan (a x)}} \, dx\) [962]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^{3/2} \sqrt {\arctan (a x)}} \, dx\) [963]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^{3/2} \sqrt {\arctan (a x)}} \, dx\) [964]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)}} \, dx\) [965]
   \(\int \genfrac {}{}{}{}{x^4}{(c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)}} \, dx\) [966]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)}} \, dx\) [967]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)}} \, dx\) [968]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)}} \, dx\) [969]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)}} \, dx\) [970]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)}} \, dx\) [971]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)}{\arctan (a x)^{3/2}} \, dx\) [972]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)}{\arctan (a x)^{3/2}} \, dx\) [973]
   \(\int \genfrac {}{}{}{}{c+a^2 c x^2}{\arctan (a x)^{3/2}} \, dx\) [974]
   \(\int \genfrac {}{}{}{}{c+a^2 c x^2}{x \arctan (a x)^{3/2}} \, dx\) [975]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^2}{\arctan (a x)^{3/2}} \, dx\) [976]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^2}{\arctan (a x)^{3/2}} \, dx\) [977]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2}{\arctan (a x)^{3/2}} \, dx\) [978]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2}{x \arctan (a x)^{3/2}} \, dx\) [979]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^3}{\arctan (a x)^{3/2}} \, dx\) [980]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^3}{\arctan (a x)^{3/2}} \, dx\) [981]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3}{\arctan (a x)^{3/2}} \, dx\) [982]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3}{x \arctan (a x)^{3/2}} \, dx\) [983]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2) \arctan (a x)^{3/2}} \, dx\) [984]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2) \arctan (a x)^{3/2}} \, dx\) [985]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2) \arctan (a x)^{3/2}} \, dx\) [986]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2) \arctan (a x)^{3/2}} \, dx\) [987]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^2 \arctan (a x)^{3/2}} \, dx\) [988]
   \(\int \genfrac {}{}{}{}{x^4}{(c+a^2 c x^2)^2 \arctan (a x)^{3/2}} \, dx\) [989]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^2 \arctan (a x)^{3/2}} \, dx\) [990]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^2 \arctan (a x)^{3/2}} \, dx\) [991]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^2 \arctan (a x)^{3/2}} \, dx\) [992]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^2 \arctan (a x)^{3/2}} \, dx\) [993]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^2 \arctan (a x)^{3/2}} \, dx\) [994]
   \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^2 \arctan (a x)^{3/2}} \, dx\) [995]
   \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^2 \arctan (a x)^{3/2}} \, dx\) [996]
   \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^2 \arctan (a x)^{3/2}} \, dx\) [997]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^3 \arctan (a x)^{3/2}} \, dx\) [998]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^3 \arctan (a x)^{3/2}} \, dx\) [999]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^3 \arctan (a x)^{3/2}} \, dx\) [1000]