3.8 Integrals 701 to 800

\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{c+a^2 c x^2} \, dx\) [701]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x (c+a^2 c x^2)} \, dx\) [702]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x^2 (c+a^2 c x^2)} \, dx\) [703]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x^3 (c+a^2 c x^2)} \, dx\) [704]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x^4 (c+a^2 c x^2)} \, dx\) [705]
\(\int \genfrac {}{}{}{}{x^m \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^2} \, dx\) [706]
\(\int \genfrac {}{}{}{}{x^3 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^2} \, dx\) [707]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^2} \, dx\) [708]
\(\int \genfrac {}{}{}{}{x \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^2} \, dx\) [709]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{(c+a^2 c x^2)^2} \, dx\) [710]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x (c+a^2 c x^2)^2} \, dx\) [711]
\(\int \genfrac {}{}{}{}{x^m \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^3} \, dx\) [712]
\(\int \genfrac {}{}{}{}{x^5 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^3} \, dx\) [713]
\(\int \genfrac {}{}{}{}{x^4 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^3} \, dx\) [714]
\(\int \genfrac {}{}{}{}{x^3 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^3} \, dx\) [715]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^3} \, dx\) [716]
\(\int \genfrac {}{}{}{}{x \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^3} \, dx\) [717]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{(c+a^2 c x^2)^3} \, dx\) [718]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x (c+a^2 c x^2)^3} \, dx\) [719]
\(\int x^m \sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)} \, dx\) [720]
\(\int x^2 \sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)} \, dx\) [721]
\(\int x \sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)} \, dx\) [722]
\(\int \sqrt {c+a^2 c x^2} \sqrt {\arctan (a x)} \, dx\) [723]
\(\int x^m (c+a^2 c x^2)^{3/2} \sqrt {\arctan (a x)} \, dx\) [724]
\(\int x^2 (c+a^2 c x^2)^{3/2} \sqrt {\arctan (a x)} \, dx\) [725]
\(\int x (c+a^2 c x^2)^{3/2} \sqrt {\arctan (a x)} \, dx\) [726]
\(\int (c+a^2 c x^2)^{3/2} \sqrt {\arctan (a x)} \, dx\) [727]
\(\int x^m (c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)} \, dx\) [728]
\(\int x^2 (c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)} \, dx\) [729]
\(\int x (c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)} \, dx\) [730]
\(\int (c+a^2 c x^2)^{5/2} \sqrt {\arctan (a x)} \, dx\) [731]
\(\int \genfrac {}{}{}{}{x^m \sqrt {\arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [732]
\(\int \genfrac {}{}{}{}{x^3 \sqrt {\arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [733]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {\arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [734]
\(\int \genfrac {}{}{}{}{x \sqrt {\arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [735]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx\) [736]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x \sqrt {c+a^2 c x^2}} \, dx\) [737]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x^2 \sqrt {c+a^2 c x^2}} \, dx\) [738]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x^3 \sqrt {c+a^2 c x^2}} \, dx\) [739]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x^4 \sqrt {c+a^2 c x^2}} \, dx\) [740]
\(\int \genfrac {}{}{}{}{x^m \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [741]
\(\int \genfrac {}{}{}{}{x^3 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [742]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [743]
\(\int \genfrac {}{}{}{}{x \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [744]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{3/2}} \, dx\) [745]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x (c+a^2 c x^2)^{3/2}} \, dx\) [746]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x^2 (c+a^2 c x^2)^{3/2}} \, dx\) [747]
\(\int \genfrac {}{}{}{}{x^m \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{5/2}} \, dx\) [748]
\(\int \genfrac {}{}{}{}{x^4 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{5/2}} \, dx\) [749]
\(\int \genfrac {}{}{}{}{x^3 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{5/2}} \, dx\) [750]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{5/2}} \, dx\) [751]
\(\int \genfrac {}{}{}{}{x \sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{5/2}} \, dx\) [752]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{(c+a^2 c x^2)^{5/2}} \, dx\) [753]
\(\int \genfrac {}{}{}{}{\sqrt {\arctan (a x)}}{x (c+a^2 c x^2)^{5/2}} \, dx\) [754]
\(\int x^m (c+a^2 c x^2) \arctan (a x)^{3/2} \, dx\) [755]
\(\int x^2 (c+a^2 c x^2) \arctan (a x)^{3/2} \, dx\) [756]
\(\int x (c+a^2 c x^2) \arctan (a x)^{3/2} \, dx\) [757]
\(\int (c+a^2 c x^2) \arctan (a x)^{3/2} \, dx\) [758]
\(\int \genfrac {}{}{}{}{(c+a^2 c x^2) \arctan (a x)^{3/2}}{x} \, dx\) [759]
\(\int \genfrac {}{}{}{}{(c+a^2 c x^2) \arctan (a x)^{3/2}}{x^2} \, dx\) [760]
\(\int x^m (c+a^2 c x^2)^2 \arctan (a x)^{3/2} \, dx\) [761]
\(\int x^2 (c+a^2 c x^2)^2 \arctan (a x)^{3/2} \, dx\) [762]
\(\int x (c+a^2 c x^2)^2 \arctan (a x)^{3/2} \, dx\) [763]
\(\int (c+a^2 c x^2)^2 \arctan (a x)^{3/2} \, dx\) [764]
\(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2 \arctan (a x)^{3/2}}{x} \, dx\) [765]
\(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2 \arctan (a x)^{3/2}}{x^2} \, dx\) [766]
\(\int x^m (c+a^2 c x^2)^3 \arctan (a x)^{3/2} \, dx\) [767]
\(\int x^2 (c+a^2 c x^2)^3 \arctan (a x)^{3/2} \, dx\) [768]
\(\int x (c+a^2 c x^2)^3 \arctan (a x)^{3/2} \, dx\) [769]
\(\int (c+a^2 c x^2)^3 \arctan (a x)^{3/2} \, dx\) [770]
\(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3 \arctan (a x)^{3/2}}{x} \, dx\) [771]
\(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3 \arctan (a x)^{3/2}}{x^2} \, dx\) [772]
\(\int \genfrac {}{}{}{}{x^m \arctan (a x)^{3/2}}{c+a^2 c x^2} \, dx\) [773]
\(\int \genfrac {}{}{}{}{x^3 \arctan (a x)^{3/2}}{c+a^2 c x^2} \, dx\) [774]
\(\int \genfrac {}{}{}{}{x^2 \arctan (a x)^{3/2}}{c+a^2 c x^2} \, dx\) [775]
\(\int \genfrac {}{}{}{}{x \arctan (a x)^{3/2}}{c+a^2 c x^2} \, dx\) [776]
\(\int \genfrac {}{}{}{}{\arctan (a x)^{3/2}}{c+a^2 c x^2} \, dx\) [777]
\(\int \genfrac {}{}{}{}{\arctan (a x)^{3/2}}{x (c+a^2 c x^2)} \, dx\) [778]
\(\int \genfrac {}{}{}{}{\arctan (a x)^{3/2}}{x^2 (c+a^2 c x^2)} \, dx\) [779]
\(\int \genfrac {}{}{}{}{\arctan (a x)^{3/2}}{x^3 (c+a^2 c x^2)} \, dx\) [780]
\(\int \genfrac {}{}{}{}{\arctan (a x)^{3/2}}{x^4 (c+a^2 c x^2)} \, dx\) [781]
\(\int \genfrac {}{}{}{}{x^m \arctan (a x)^{3/2}}{(c+a^2 c x^2)^2} \, dx\) [782]
\(\int \genfrac {}{}{}{}{x^3 \arctan (a x)^{3/2}}{(c+a^2 c x^2)^2} \, dx\) [783]
\(\int \genfrac {}{}{}{}{x^2 \arctan (a x)^{3/2}}{(c+a^2 c x^2)^2} \, dx\) [784]
\(\int \genfrac {}{}{}{}{x \arctan (a x)^{3/2}}{(c+a^2 c x^2)^2} \, dx\) [785]
\(\int \genfrac {}{}{}{}{\arctan (a x)^{3/2}}{(c+a^2 c x^2)^2} \, dx\) [786]
\(\int \genfrac {}{}{}{}{\arctan (a x)^{3/2}}{x (c+a^2 c x^2)^2} \, dx\) [787]
\(\int \genfrac {}{}{}{}{x^m \arctan (a x)^{3/2}}{(c+a^2 c x^2)^3} \, dx\) [788]
\(\int \genfrac {}{}{}{}{x^5 \arctan (a x)^{3/2}}{(c+a^2 c x^2)^3} \, dx\) [789]
\(\int \genfrac {}{}{}{}{x^4 \arctan (a x)^{3/2}}{(c+a^2 c x^2)^3} \, dx\) [790]
\(\int \genfrac {}{}{}{}{x^3 \arctan (a x)^{3/2}}{(c+a^2 c x^2)^3} \, dx\) [791]
\(\int \genfrac {}{}{}{}{x^2 \arctan (a x)^{3/2}}{(c+a^2 c x^2)^3} \, dx\) [792]
\(\int \genfrac {}{}{}{}{x \arctan (a x)^{3/2}}{(c+a^2 c x^2)^3} \, dx\) [793]
\(\int \genfrac {}{}{}{}{\arctan (a x)^{3/2}}{(c+a^2 c x^2)^3} \, dx\) [794]
\(\int \genfrac {}{}{}{}{\arctan (a x)^{3/2}}{x (c+a^2 c x^2)^3} \, dx\) [795]
\(\int x^m \sqrt {c+a^2 c x^2} \arctan (a x)^{3/2} \, dx\) [796]
\(\int x^2 \sqrt {c+a^2 c x^2} \arctan (a x)^{3/2} \, dx\) [797]
\(\int x \sqrt {c+a^2 c x^2} \arctan (a x)^{3/2} \, dx\) [798]
\(\int \sqrt {c+a^2 c x^2} \arctan (a x)^{3/2} \, dx\) [799]
\(\int \genfrac {}{}{}{}{\sqrt {c+a^2 c x^2} \arctan (a x)^{3/2}}{x} \, dx\) [800]