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3.2
Integrals 101 to 189
\(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \text {sech}^{-1}(c x))}{x^2} \, dx\) [101]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \text {sech}^{-1}(c x))}{x^4} \, dx\) [102]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \text {sech}^{-1}(c x))}{x^6} \, dx\) [103]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \text {sech}^{-1}(c x))}{x^8} \, dx\) [104]
\(\int x^3 (d+e x^2)^2 (a+b \text {sech}^{-1}(c x)) \, dx\) [105]
\(\int x (d+e x^2)^2 (a+b \text {sech}^{-1}(c x)) \, dx\) [106]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \text {sech}^{-1}(c x))}{x} \, dx\) [107]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \text {sech}^{-1}(c x))}{x^3} \, dx\) [108]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {sech}^{-1}(c x))}{d+e x^2} \, dx\) [109]
\(\int \genfrac {}{}{}{}{x (a+b \text {sech}^{-1}(c x))}{d+e x^2} \, dx\) [110]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{d+e x^2} \, dx\) [111]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x (d+e x^2)} \, dx\) [112]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x^2 (d+e x^2)} \, dx\) [113]
\(\int \genfrac {}{}{}{}{x^5 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^2} \, dx\) [114]
\(\int \genfrac {}{}{}{}{x^3 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^2} \, dx\) [115]
\(\int \genfrac {}{}{}{}{x (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^2} \, dx\) [116]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x (d+e x^2)^2} \, dx\) [117]
\(\int \genfrac {}{}{}{}{x^4 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^2} \, dx\) [118]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^2} \, dx\) [119]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{(d+e x^2)^2} \, dx\) [120]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x^2 (d+e x^2)^2} \, dx\) [121]
\(\int \genfrac {}{}{}{}{x^5 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^3} \, dx\) [122]
\(\int \genfrac {}{}{}{}{x^3 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^3} \, dx\) [123]
\(\int \genfrac {}{}{}{}{x (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^3} \, dx\) [124]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x (d+e x^2)^3} \, dx\) [125]
\(\int \genfrac {}{}{}{}{x^4 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^3} \, dx\) [126]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^3} \, dx\) [127]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{(d+e x^2)^3} \, dx\) [128]
\(\int x^5 \sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x)) \, dx\) [129]
\(\int x^3 \sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x)) \, dx\) [130]
\(\int x \sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x)) \, dx\) [131]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x))}{x} \, dx\) [132]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x))}{x^3} \, dx\) [133]
\(\int x^2 \sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x)) \, dx\) [134]
\(\int \sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x)) \, dx\) [135]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x))}{x^2} \, dx\) [136]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x))}{x^4} \, dx\) [137]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x))}{x^6} \, dx\) [138]
\(\int x^3 (d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x)) \, dx\) [139]
\(\int x (d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x)) \, dx\) [140]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x))}{x} \, dx\) [141]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x))}{x^3} \, dx\) [142]
\(\int x^2 (d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x)) \, dx\) [143]
\(\int (d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x)) \, dx\) [144]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x))}{x^2} \, dx\) [145]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x))}{x^4} \, dx\) [146]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x))}{x^6} \, dx\) [147]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x))}{x^8} \, dx\) [148]
\(\int \genfrac {}{}{}{}{x^5 (a+b \text {sech}^{-1}(c x))}{\sqrt {d+e x^2}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{x^3 (a+b \text {sech}^{-1}(c x))}{\sqrt {d+e x^2}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{x (a+b \text {sech}^{-1}(c x))}{\sqrt {d+e x^2}} \, dx\) [151]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x \sqrt {d+e x^2}} \, dx\) [152]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x^3 \sqrt {d+e x^2}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {sech}^{-1}(c x))}{\sqrt {d+e x^2}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{\sqrt {d+e x^2}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x^2 \sqrt {d+e x^2}} \, dx\) [156]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x^4 \sqrt {d+e x^2}} \, dx\) [157]
\(\int \genfrac {}{}{}{}{x^5 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [158]
\(\int \genfrac {}{}{}{}{x^3 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [159]
\(\int \genfrac {}{}{}{}{x (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [160]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x (d+e x^2)^{3/2}} \, dx\) [161]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x^3 (d+e x^2)^{3/2}} \, dx\) [162]
\(\int \genfrac {}{}{}{}{x^4 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [163]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [164]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{(d+e x^2)^{3/2}} \, dx\) [165]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x^2 (d+e x^2)^{3/2}} \, dx\) [166]
\(\int \genfrac {}{}{}{}{x^5 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [167]
\(\int \genfrac {}{}{}{}{x^3 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [168]
\(\int \genfrac {}{}{}{}{x (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [169]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x (d+e x^2)^{5/2}} \, dx\) [170]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x^3 (d+e x^2)^{5/2}} \, dx\) [171]
\(\int \genfrac {}{}{}{}{x^6 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [172]
\(\int \genfrac {}{}{}{}{x^4 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [173]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{5/2}} \, dx\) [174]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{(d+e x^2)^{5/2}} \, dx\) [175]
\(\int (f x)^m (d+e x^2)^3 (a+b \text {sech}^{-1}(c x)) \, dx\) [176]
\(\int (f x)^m (d+e x^2)^2 (a+b \text {sech}^{-1}(c x)) \, dx\) [177]
\(\int (f x)^m (d+e x^2) (a+b \text {sech}^{-1}(c x)) \, dx\) [178]
\(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {sech}^{-1}(c x))}{d+e x^2} \, dx\) [179]
\(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^2} \, dx\) [180]
\(\int (f x)^m (d+e x^2)^{3/2} (a+b \text {sech}^{-1}(c x)) \, dx\) [181]
\(\int (f x)^m \sqrt {d+e x^2} (a+b \text {sech}^{-1}(c x)) \, dx\) [182]
\(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {sech}^{-1}(c x))}{\sqrt {d+e x^2}} \, dx\) [183]
\(\int \genfrac {}{}{}{}{(f x)^m (a+b \text {sech}^{-1}(c x))}{(d+e x^2)^{3/2}} \, dx\) [184]
\(\int \genfrac {}{}{}{}{x^{11} (a+b \text {sech}^{-1}(c x))}{\sqrt {1-c^4 x^4}} \, dx\) [185]
\(\int \genfrac {}{}{}{}{x^7 (a+b \text {sech}^{-1}(c x))}{\sqrt {1-c^4 x^4}} \, dx\) [186]
\(\int \genfrac {}{}{}{}{x^3 (a+b \text {sech}^{-1}(c x))}{\sqrt {1-c^4 x^4}} \, dx\) [187]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x \sqrt {1-c^4 x^4}} \, dx\) [188]
\(\int \genfrac {}{}{}{}{a+b \text {sech}^{-1}(c x)}{x^5 \sqrt {1-c^4 x^4}} \, dx\) [189]
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