3.2 Integrals 101 to 166

\(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^4} \, dx\) [101]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^7} \, dx\) [102]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^{10}} \, dx\) [103]
\(\int x^3 (a+b \arctan (c x^3)) \, dx\) [104]
\(\int (a+b \arctan (c x^3)) \, dx\) [105]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^3} \, dx\) [106]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^6} \, dx\) [107]
\(\int x^7 (a+b \arctan (c x^3)) \, dx\) [108]
\(\int x^4 (a+b \arctan (c x^3)) \, dx\) [109]
\(\int x (a+b \arctan (c x^3)) \, dx\) [110]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^2} \, dx\) [111]
\(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^5} \, dx\) [112]
\(\int x^{11} (a+b \arctan (c x^3))^2 \, dx\) [113]
\(\int x^8 (a+b \arctan (c x^3))^2 \, dx\) [114]
\(\int x^5 (a+b \arctan (c x^3))^2 \, dx\) [115]
\(\int x^2 (a+b \arctan (c x^3))^2 \, dx\) [116]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^2}{x} \, dx\) [117]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^2}{x^4} \, dx\) [118]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^2}{x^7} \, dx\) [119]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^2}{x^{10}} \, dx\) [120]
\(\int x^8 (a+b \arctan (c x^3))^3 \, dx\) [121]
\(\int x^5 (a+b \arctan (c x^3))^3 \, dx\) [122]
\(\int x^2 (a+b \arctan (c x^3))^3 \, dx\) [123]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^3}{x} \, dx\) [124]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^3}{x^4} \, dx\) [125]
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^3}{x^7} \, dx\) [126]
\(\int (d x)^m (a+b \arctan (c x^3))^3 \, dx\) [127]
\(\int (d x)^m (a+b \arctan (c x^3))^2 \, dx\) [128]
\(\int (d x)^m (a+b \arctan (c x^3)) \, dx\) [129]
\(\int \genfrac {}{}{}{}{(d x)^m}{a+b \arctan (c x^3)} \, dx\) [130]
\(\int \genfrac {}{}{}{}{(d x)^m}{(a+b \arctan (c x^3))^2} \, dx\) [131]
\(\int x^3 (a+b \arctan (\genfrac {}{}{}{}{c}{x})) \, dx\) [132]
\(\int x^2 (a+b \arctan (\genfrac {}{}{}{}{c}{x})) \, dx\) [133]
\(\int x (a+b \arctan (\genfrac {}{}{}{}{c}{x})) \, dx\) [134]
\(\int (a+b \arctan (\genfrac {}{}{}{}{c}{x})) \, dx\) [135]
\(\int \genfrac {}{}{}{}{a+b \arctan (\genfrac {}{}{}{}{c}{x})}{x} \, dx\) [136]
\(\int \genfrac {}{}{}{}{a+b \arctan (\genfrac {}{}{}{}{c}{x})}{x^2} \, dx\) [137]
\(\int \genfrac {}{}{}{}{a+b \arctan (\genfrac {}{}{}{}{c}{x})}{x^3} \, dx\) [138]
\(\int \genfrac {}{}{}{}{a+b \arctan (\genfrac {}{}{}{}{c}{x})}{x^4} \, dx\) [139]
\(\int x^3 (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [140]
\(\int x^2 (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [141]
\(\int x (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [142]
\(\int (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [143]
\(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2}{x} \, dx\) [144]
\(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2}{x^2} \, dx\) [145]
\(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2}{x^3} \, dx\) [146]
\(\int x^3 (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [147]
\(\int x^2 (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [148]
\(\int x (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [149]
\(\int (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [150]
\(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3}{x} \, dx\) [151]
\(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3}{x^2} \, dx\) [152]
\(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3}{x^3} \, dx\) [153]
\(\int x^2 \arctan (\sqrt {x}) \, dx\) [154]
\(\int x \arctan (\sqrt {x}) \, dx\) [155]
\(\int \arctan (\sqrt {x}) \, dx\) [156]
\(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{x} \, dx\) [157]
\(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{x^2} \, dx\) [158]
\(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{x^3} \, dx\) [159]
\(\int x^{3/2} \arctan (\sqrt {x}) \, dx\) [160]
\(\int \sqrt {x} \arctan (\sqrt {x}) \, dx\) [161]
\(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{\sqrt {x}} \, dx\) [162]
\(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{x^{3/2}} \, dx\) [163]
\(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{x^{5/2}} \, dx\) [164]
\(\int \genfrac {}{}{}{}{\arctan (a x^5)}{x} \, dx\) [165]
\(\int \genfrac {}{}{}{}{\arctan (a x^n)}{x} \, dx\) [166]