3.2 Integrals 101 to 174

   \(\int \genfrac {}{}{}{}{x^2 (a+b \sec ^{-1}(c x))}{(d+e x^2)^2} \, dx\) [101]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{(d+e x^2)^2} \, dx\) [102]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^2 (d+e x^2)^2} \, dx\) [103]
   \(\int \genfrac {}{}{}{}{x^5 (a+b \sec ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [104]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \sec ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [105]
   \(\int \genfrac {}{}{}{}{x (a+b \sec ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [106]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x (d+e x^2)^3} \, dx\) [107]
   \(\int \genfrac {}{}{}{}{x^4 (a+b \sec ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [108]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \sec ^{-1}(c x))}{(d+e x^2)^3} \, dx\) [109]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{(d+e x^2)^3} \, dx\) [110]
   \(\int x^5 \sqrt {d+e x^2} (a+b \sec ^{-1}(c x)) \, dx\) [111]
   \(\int x^3 \sqrt {d+e x^2} (a+b \sec ^{-1}(c x)) \, dx\) [112]
   \(\int x \sqrt {d+e x^2} (a+b \sec ^{-1}(c x)) \, dx\) [113]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \sec ^{-1}(c x))}{x} \, dx\) [114]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \sec ^{-1}(c x))}{x^3} \, dx\) [115]
   \(\int x^2 \sqrt {d+e x^2} (a+b \sec ^{-1}(c x)) \, dx\) [116]
   \(\int \sqrt {d+e x^2} (a+b \sec ^{-1}(c x)) \, dx\) [117]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \sec ^{-1}(c x))}{x^2} \, dx\) [118]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \sec ^{-1}(c x))}{x^4} \, dx\) [119]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \sec ^{-1}(c x))}{x^6} \, dx\) [120]
   \(\int x^3 (d+e x^2)^{3/2} (a+b \sec ^{-1}(c x)) \, dx\) [121]
   \(\int x (d+e x^2)^{3/2} (a+b \sec ^{-1}(c x)) \, dx\) [122]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \sec ^{-1}(c x))}{x} \, dx\) [123]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \sec ^{-1}(c x))}{x^3} \, dx\) [124]
   \(\int x^2 (d+e x^2)^{3/2} (a+b \sec ^{-1}(c x)) \, dx\) [125]
   \(\int (d+e x^2)^{3/2} (a+b \sec ^{-1}(c x)) \, dx\) [126]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \sec ^{-1}(c x))}{x^2} \, dx\) [127]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \sec ^{-1}(c x))}{x^4} \, dx\) [128]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \sec ^{-1}(c x))}{x^6} \, dx\) [129]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \sec ^{-1}(c x))}{x^8} \, dx\) [130]
   \(\int \genfrac {}{}{}{}{x^5 (a+b \sec ^{-1}(c x))}{\sqrt {d+e x^2}} \, dx\) [131]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \sec ^{-1}(c x))}{\sqrt {d+e x^2}} \, dx\) [132]
   \(\int \genfrac {}{}{}{}{x (a+b \sec ^{-1}(c x))}{\sqrt {d+e x^2}} \, dx\) [133]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x \sqrt {d+e x^2}} \, dx\) [134]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^3 \sqrt {d+e x^2}} \, dx\) [135]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \sec ^{-1}(c x))}{\sqrt {d+e x^2}} \, dx\) [136]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{\sqrt {d+e x^2}} \, dx\) [137]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^2 \sqrt {d+e x^2}} \, dx\) [138]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^4 \sqrt {d+e x^2}} \, dx\) [139]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^6 \sqrt {d+e x^2}} \, dx\) [140]
   \(\int \genfrac {}{}{}{}{x^5 (a+b \sec ^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [141]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \sec ^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [142]
   \(\int \genfrac {}{}{}{}{x (a+b \sec ^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [143]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x (d+e x^2)^{3/2}} \, dx\) [144]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^3 (d+e x^2)^{3/2}} \, dx\) [145]
   \(\int \genfrac {}{}{}{}{x^4 (a+b \sec ^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [146]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \sec ^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [147]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{(d+e x^2)^{3/2}} \, dx\) [148]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^2 (d+e x^2)^{3/2}} \, dx\) [149]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^4 (d+e x^2)^{3/2}} \, dx\) [150]
   \(\int \genfrac {}{}{}{}{x^5 (a+b \sec ^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [151]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \sec ^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [152]
   \(\int \genfrac {}{}{}{}{x (a+b \sec ^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [153]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x (d+e x^2)^{5/2}} \, dx\) [154]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^3 (d+e x^2)^{5/2}} \, dx\) [155]
   \(\int \genfrac {}{}{}{}{x^6 (a+b \sec ^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [156]
   \(\int \genfrac {}{}{}{}{x^4 (a+b \sec ^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [157]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \sec ^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [158]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{(d+e x^2)^{5/2}} \, dx\) [159]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^2 (d+e x^2)^{5/2}} \, dx\) [160]
   \(\int (f x)^m (d+e x^2)^3 (a+b \sec ^{-1}(c x)) \, dx\) [161]
   \(\int (f x)^m (d+e x^2)^2 (a+b \sec ^{-1}(c x)) \, dx\) [162]
   \(\int (f x)^m (d+e x^2) (a+b \sec ^{-1}(c x)) \, dx\) [163]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \sec ^{-1}(c x))}{d+e x^2} \, dx\) [164]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \sec ^{-1}(c x))}{(d+e x^2)^2} \, dx\) [165]
   \(\int (f x)^m (d+e x^2)^{3/2} (a+b \sec ^{-1}(c x)) \, dx\) [166]
   \(\int (f x)^m \sqrt {d+e x^2} (a+b \sec ^{-1}(c x)) \, dx\) [167]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \sec ^{-1}(c x))}{\sqrt {d+e x^2}} \, dx\) [168]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b \sec ^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [169]
   \(\int \genfrac {}{}{}{}{x^{11} (a+b \sec ^{-1}(c x))}{\sqrt {1-c^4 x^4}} \, dx\) [170]
   \(\int \genfrac {}{}{}{}{x^7 (a+b \sec ^{-1}(c x))}{\sqrt {1-c^4 x^4}} \, dx\) [171]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \sec ^{-1}(c x))}{\sqrt {1-c^4 x^4}} \, dx\) [172]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x \sqrt {1-c^4 x^4}} \, dx\) [173]
   \(\int \genfrac {}{}{}{}{a+b \sec ^{-1}(c x)}{x^5 \sqrt {1-c^4 x^4}} \, dx\) [174]