3.2.1 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^4} \, dx\) [101]
3.2.2 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^7} \, dx\) [102]
3.2.3 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^{10}} \, dx\) [103]
3.2.4 \(\int x^3 (a+b \arctan (c x^3)) \, dx\) [104]
3.2.5 \(\int (a+b \arctan (c x^3)) \, dx\) [105]
3.2.6 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^3} \, dx\) [106]
3.2.7 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^6} \, dx\) [107]
3.2.8 \(\int x^7 (a+b \arctan (c x^3)) \, dx\) [108]
3.2.9 \(\int x^4 (a+b \arctan (c x^3)) \, dx\) [109]
3.2.10 \(\int x (a+b \arctan (c x^3)) \, dx\) [110]
3.2.11 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^2} \, dx\) [111]
3.2.12 \(\int \genfrac {}{}{}{}{a+b \arctan (c x^3)}{x^5} \, dx\) [112]
3.2.13 \(\int x^{11} (a+b \arctan (c x^3))^2 \, dx\) [113]
3.2.14 \(\int x^8 (a+b \arctan (c x^3))^2 \, dx\) [114]
3.2.15 \(\int x^5 (a+b \arctan (c x^3))^2 \, dx\) [115]
3.2.16 \(\int x^2 (a+b \arctan (c x^3))^2 \, dx\) [116]
3.2.17 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^2}{x} \, dx\) [117]
3.2.18 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^2}{x^4} \, dx\) [118]
3.2.19 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^2}{x^7} \, dx\) [119]
3.2.20 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^2}{x^{10}} \, dx\) [120]
3.2.21 \(\int x^8 (a+b \arctan (c x^3))^3 \, dx\) [121]
3.2.22 \(\int x^5 (a+b \arctan (c x^3))^3 \, dx\) [122]
3.2.23 \(\int x^2 (a+b \arctan (c x^3))^3 \, dx\) [123]
3.2.24 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^3}{x} \, dx\) [124]
3.2.25 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^3}{x^4} \, dx\) [125]
3.2.26 \(\int \genfrac {}{}{}{}{(a+b \arctan (c x^3))^3}{x^7} \, dx\) [126]
3.2.27 \(\int (d x)^m (a+b \arctan (c x^3))^3 \, dx\) [127]
3.2.28 \(\int (d x)^m (a+b \arctan (c x^3))^2 \, dx\) [128]
3.2.29 \(\int (d x)^m (a+b \arctan (c x^3)) \, dx\) [129]
3.2.30 \(\int \genfrac {}{}{}{}{(d x)^m}{a+b \arctan (c x^3)} \, dx\) [130]
3.2.31 \(\int \genfrac {}{}{}{}{(d x)^m}{(a+b \arctan (c x^3))^2} \, dx\) [131]
3.2.32 \(\int x^3 (a+b \arctan (\genfrac {}{}{}{}{c}{x})) \, dx\) [132]
3.2.33 \(\int x^2 (a+b \arctan (\genfrac {}{}{}{}{c}{x})) \, dx\) [133]
3.2.34 \(\int x (a+b \arctan (\genfrac {}{}{}{}{c}{x})) \, dx\) [134]
3.2.35 \(\int (a+b \arctan (\genfrac {}{}{}{}{c}{x})) \, dx\) [135]
3.2.36 \(\int \genfrac {}{}{}{}{a+b \arctan (\genfrac {}{}{}{}{c}{x})}{x} \, dx\) [136]
3.2.37 \(\int \genfrac {}{}{}{}{a+b \arctan (\genfrac {}{}{}{}{c}{x})}{x^2} \, dx\) [137]
3.2.38 \(\int \genfrac {}{}{}{}{a+b \arctan (\genfrac {}{}{}{}{c}{x})}{x^3} \, dx\) [138]
3.2.39 \(\int \genfrac {}{}{}{}{a+b \arctan (\genfrac {}{}{}{}{c}{x})}{x^4} \, dx\) [139]
3.2.40 \(\int x^3 (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [140]
3.2.41 \(\int x^2 (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [141]
3.2.42 \(\int x (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [142]
3.2.43 \(\int (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [143]
3.2.44 \(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2}{x} \, dx\) [144]
3.2.45 \(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2}{x^2} \, dx\) [145]
3.2.46 \(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^2}{x^3} \, dx\) [146]
3.2.47 \(\int x^3 (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [147]
3.2.48 \(\int x^2 (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [148]
3.2.49 \(\int x (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [149]
3.2.50 \(\int (a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [150]
3.2.51 \(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3}{x} \, dx\) [151]
3.2.52 \(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3}{x^2} \, dx\) [152]
3.2.53 \(\int \genfrac {}{}{}{}{(a+b \arctan (\genfrac {}{}{}{}{c}{x}))^3}{x^3} \, dx\) [153]
3.2.54 \(\int x^2 \arctan (\sqrt {x}) \, dx\) [154]
3.2.55 \(\int x \arctan (\sqrt {x}) \, dx\) [155]
3.2.56 \(\int \arctan (\sqrt {x}) \, dx\) [156]
3.2.57 \(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{x} \, dx\) [157]
3.2.58 \(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{x^2} \, dx\) [158]
3.2.59 \(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{x^3} \, dx\) [159]
3.2.60 \(\int x^{3/2} \arctan (\sqrt {x}) \, dx\) [160]
3.2.61 \(\int \sqrt {x} \arctan (\sqrt {x}) \, dx\) [161]
3.2.62 \(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{\sqrt {x}} \, dx\) [162]
3.2.63 \(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{x^{3/2}} \, dx\) [163]
3.2.64 \(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{x^{5/2}} \, dx\) [164]
3.2.65 \(\int \genfrac {}{}{}{}{\arctan (a x^5)}{x} \, dx\) [165]
3.2.66 \(\int \genfrac {}{}{}{}{\arctan (a x^n)}{x} \, dx\) [166]