3.2.1 \(\int \genfrac {}{}{}{}{1}{(a+b x^2) (c+d x^2)^{3/2}} \, dx\) [101]
  3.2.2 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^2 \sqrt {c+d x^2}} \, dx\) [102]
  3.2.3 \(\int \genfrac {}{}{}{}{\sqrt {c+d x^2}}{(a+b x^2)^3} \, dx\) [103]
  3.2.4 \(\int \genfrac {}{}{}{}{(c+d x^2)^{3/2}}{(a+b x^2)^4} \, dx\) [104]
  3.2.5 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b c}{d}+b x^2) \sqrt {c+d x^2}} \, dx\) [105]
  3.2.6 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-x^2} (1+x^2)} \, dx\) [106]
  3.2.7 \(\int \genfrac {}{}{}{}{1}{(a+b x^2) \sqrt {c+d x^2}} \, dx\) [107]
  3.2.8 \(\int \genfrac {}{}{}{}{-1+x^2}{(1+x^2)^{3/2}} \, dx\) [108]
  3.2.9 \(\int (a-b x^2)^{2/3} (3 a+b x^2)^3 \, dx\) [109]
  3.2.10 \(\int (a-b x^2)^{2/3} (3 a+b x^2)^2 \, dx\) [110]
  3.2.11 \(\int (a-b x^2)^{2/3} (3 a+b x^2) \, dx\) [111]
  3.2.12 \(\int \genfrac {}{}{}{}{(a-b x^2)^{2/3}}{3 a+b x^2} \, dx\) [112]
  3.2.13 \(\int \genfrac {}{}{}{}{(a-b x^2)^{2/3}}{(3 a+b x^2)^2} \, dx\) [113]
  3.2.14 \(\int \genfrac {}{}{}{}{(a-b x^2)^{2/3}}{(3 a+b x^2)^3} \, dx\) [114]
  3.2.15 \(\int \genfrac {}{}{}{}{(a-b x^2)^{2/3}}{(3 a+b x^2)^4} \, dx\) [115]
  3.2.16 \(\int (a-b x^2)^{5/3} (3 a+b x^2)^3 \, dx\) [116]
  3.2.17 \(\int (a-b x^2)^{5/3} (3 a+b x^2)^2 \, dx\) [117]
  3.2.18 \(\int (a-b x^2)^{5/3} (3 a+b x^2) \, dx\) [118]
  3.2.19 \(\int \genfrac {}{}{}{}{(a-b x^2)^{5/3}}{3 a+b x^2} \, dx\) [119]
  3.2.20 \(\int \genfrac {}{}{}{}{(a-b x^2)^{5/3}}{(3 a+b x^2)^2} \, dx\) [120]
  3.2.21 \(\int \genfrac {}{}{}{}{(a-b x^2)^{5/3}}{(3 a+b x^2)^3} \, dx\) [121]
  3.2.22 \(\int \genfrac {}{}{}{}{(3 a+b x^2)^4}{\sqrt [3]{a-b x^2}} \, dx\) [122]
  3.2.23 \(\int \genfrac {}{}{}{}{(3 a+b x^2)^3}{\sqrt [3]{a-b x^2}} \, dx\) [123]
  3.2.24 \(\int \genfrac {}{}{}{}{(3 a+b x^2)^2}{\sqrt [3]{a-b x^2}} \, dx\) [124]
  3.2.25 \(\int \genfrac {}{}{}{}{3 a+b x^2}{\sqrt [3]{a-b x^2}} \, dx\) [125]
  3.2.26 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a-b x^2} (3 a+b x^2)} \, dx\) [126]
  3.2.27 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a-b x^2} (3 a+b x^2)^2} \, dx\) [127]
  3.2.28 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a-b x^2} (3 a+b x^2)^3} \, dx\) [128]
  3.2.29 \(\int \genfrac {}{}{}{}{(3 a+b x^2)^3}{(a-b x^2)^{4/3}} \, dx\) [129]
  3.2.30 \(\int \genfrac {}{}{}{}{(3 a+b x^2)^2}{(a-b x^2)^{4/3}} \, dx\) [130]
  3.2.31 \(\int \genfrac {}{}{}{}{3 a+b x^2}{(a-b x^2)^{4/3}} \, dx\) [131]
  3.2.32 \(\int \genfrac {}{}{}{}{1}{(a-b x^2)^{4/3} (3 a+b x^2)} \, dx\) [132]
  3.2.33 \(\int \genfrac {}{}{}{}{1}{(a-b x^2)^{4/3} (3 a+b x^2)^2} \, dx\) [133]
  3.2.34 \(\int \genfrac {}{}{}{}{1}{(a-b x^2)^{4/3} (3 a+b x^2)^3} \, dx\) [134]
  3.2.35 \(\int \genfrac {}{}{}{}{(3 a+b x^2)^4}{(a-b x^2)^{7/3}} \, dx\) [135]
  3.2.36 \(\int \genfrac {}{}{}{}{(3 a+b x^2)^3}{(a-b x^2)^{7/3}} \, dx\) [136]
  3.2.37 \(\int \genfrac {}{}{}{}{(3 a+b x^2)^2}{(a-b x^2)^{7/3}} \, dx\) [137]
  3.2.38 \(\int \genfrac {}{}{}{}{3 a+b x^2}{(a-b x^2)^{7/3}} \, dx\) [138]
  3.2.39 \(\int \genfrac {}{}{}{}{1}{(a-b x^2)^{7/3} (3 a+b x^2)} \, dx\) [139]
  3.2.40 \(\int \genfrac {}{}{}{}{1}{(a-b x^2)^{7/3} (3 a+b x^2)^2} \, dx\) [140]
  3.2.41 \(\int \genfrac {}{}{}{}{1}{(-3 a-b x^2) \sqrt [3]{-a+b x^2}} \, dx\) [141]
  3.2.42 \(\int \genfrac {}{}{}{}{1}{(3 a-b x^2) \sqrt [3]{a+b x^2}} \, dx\) [142]
  3.2.43 \(\int \genfrac {}{}{}{}{1}{(c-d x^2) \sqrt [3]{c+3 d x^2}} \, dx\) [143]
  3.2.44 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a-b x^2} (3 a+b x^2)} \, dx\) [144]
  3.2.45 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c-3 d x^2} (c+d x^2)} \, dx\) [145]
  3.2.46 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [146]
  3.2.47 \(\int \genfrac {}{}{}{}{1}{(3-x^2) \sqrt [3]{1+x^2}} \, dx\) [147]
  3.2.48 \(\int \genfrac {}{}{}{}{3-x}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [148]
  3.2.49 \(\int \genfrac {}{}{}{}{3+x}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [149]
  3.2.50 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x^2} (\genfrac {}{}{}{}{9 a d}{b}+d x^2)} \, dx\) [150]
  3.2.51 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a-b x^2} (-\genfrac {}{}{}{}{9 a d}{b}+d x^2)} \, dx\) [151]
  3.2.52 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-a+b x^2} (-\genfrac {}{}{}{}{9 a d}{b}+d x^2)} \, dx\) [152]
  3.2.53 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-a-b x^2} (\genfrac {}{}{}{}{9 a d}{b}+d x^2)} \, dx\) [153]
  3.2.54 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{2+b x^2} (\genfrac {}{}{}{}{18 d}{b}+d x^2)} \, dx\) [154]
  3.2.55 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-2+b x^2} (-\genfrac {}{}{}{}{18 d}{b}+d x^2)} \, dx\) [155]
  3.2.56 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{2+3 x^2} (6 d+d x^2)} \, dx\) [156]
  3.2.57 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{2-3 x^2} (-6 d+d x^2)} \, dx\) [157]
  3.2.58 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-2+3 x^2} (-6 d+d x^2)} \, dx\) [158]
  3.2.59 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-2-3 x^2} (6 d+d x^2)} \, dx\) [159]
  3.2.60 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1+x^2} (9+x^2)} \, dx\) [160]
  3.2.61 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1+b x^2} (9+b x^2)} \, dx\) [161]
  3.2.62 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1-x^2} (9-x^2)} \, dx\) [162]
  3.2.63 \(\int \genfrac {}{}{}{}{\sqrt {-1+c^2 x^2}}{(d-c^2 d x^2)^{5/2}} \, dx\) [163]
  3.2.64 \(\int \genfrac {}{}{}{}{1}{(-1+c^2 x^2)^{3/2} \sqrt {d-c^2 d x^2}} \, dx\) [164]
  3.2.65 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+c^2 x^2} (d-c^2 d x^2)^{3/2}} \, dx\) [165]
  3.2.66 \(\int (a+b x^2)^{3/2} \sqrt {c+d x^2} \, dx\) [166]
  3.2.67 \(\int \sqrt {a+b x^2} \sqrt {c+d x^2} \, dx\) [167]
  3.2.68 \(\int \genfrac {}{}{}{}{\sqrt {c+d x^2}}{\sqrt {a+b x^2}} \, dx\) [168]
  3.2.69 \(\int \genfrac {}{}{}{}{\sqrt {c+d x^2}}{(a+b x^2)^{3/2}} \, dx\) [169]
  3.2.70 \(\int \genfrac {}{}{}{}{\sqrt {c+d x^2}}{(a+b x^2)^{5/2}} \, dx\) [170]
  3.2.71 \(\int \genfrac {}{}{}{}{\sqrt {c+d x^2}}{(a+b x^2)^{7/2}} \, dx\) [171]
  3.2.72 \(\int (a+b x^2)^{3/2} (c+d x^2)^{3/2} \, dx\) [172]
  3.2.73 \(\int \sqrt {a+b x^2} (c+d x^2)^{3/2} \, dx\) [173]
  3.2.74 \(\int \genfrac {}{}{}{}{(c+d x^2)^{3/2}}{\sqrt {a+b x^2}} \, dx\) [174]
  3.2.75 \(\int \genfrac {}{}{}{}{(c+d x^2)^{3/2}}{(a+b x^2)^{3/2}} \, dx\) [175]
  3.2.76 \(\int \genfrac {}{}{}{}{(c+d x^2)^{3/2}}{(a+b x^2)^{5/2}} \, dx\) [176]
  3.2.77 \(\int \genfrac {}{}{}{}{(c+d x^2)^{3/2}}{(a+b x^2)^{7/2}} \, dx\) [177]
  3.2.78 \(\int \sqrt {2+b x^2} \sqrt {3+d x^2} \, dx\) [178]
  3.2.79 \(\int \sqrt {3-6 x^2} \sqrt {2+4 x^2} \, dx\) [179]
  3.2.80 \(\int \sqrt {2+4 x^2} \sqrt {3+6 x^2} \, dx\) [180]
  3.2.81 \(\int \genfrac {}{}{}{}{\sqrt {2+b x^2}}{\sqrt {3+d x^2}} \, dx\) [181]
  3.2.82 \(\int \genfrac {}{}{}{}{\sqrt {4-x^2}}{\sqrt {c+d x^2}} \, dx\) [182]
  3.2.83 \(\int \genfrac {}{}{}{}{\sqrt {4+x^2}}{\sqrt {c+d x^2}} \, dx\) [183]
  3.2.84 \(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {2-3 x^2}} \, dx\) [184]
  3.2.85 \(\int \genfrac {}{}{}{}{\sqrt {4-x^2}}{\sqrt {2-3 x^2}} \, dx\) [185]
  3.2.86 \(\int \genfrac {}{}{}{}{\sqrt {1-4 x^2}}{\sqrt {2-3 x^2}} \, dx\) [186]
  3.2.87 \(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{\sqrt {1-x^2}} \, dx\) [187]
  3.2.88 \(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{\sqrt {2-3 x^2}} \, dx\) [188]
  3.2.89 \(\int \genfrac {}{}{}{}{\sqrt {4+x^2}}{\sqrt {2-3 x^2}} \, dx\) [189]
  3.2.90 \(\int \genfrac {}{}{}{}{\sqrt {1+4 x^2}}{\sqrt {2-3 x^2}} \, dx\) [190]
  3.2.91 \(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {1+x^2}} \, dx\) [191]
  3.2.92 \(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {2+3 x^2}} \, dx\) [192]
  3.2.93 \(\int \genfrac {}{}{}{}{\sqrt {4-x^2}}{\sqrt {2+3 x^2}} \, dx\) [193]
  3.2.94 \(\int \genfrac {}{}{}{}{\sqrt {1-4 x^2}}{\sqrt {2+3 x^2}} \, dx\) [194]
  3.2.95 \(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{\sqrt {2+3 x^2}} \, dx\) [195]
  3.2.96 \(\int \genfrac {}{}{}{}{\sqrt {4+x^2}}{\sqrt {2+3 x^2}} \, dx\) [196]
  3.2.97 \(\int \genfrac {}{}{}{}{\sqrt {1+4 x^2}}{\sqrt {2+3 x^2}} \, dx\) [197]
  3.2.98 \(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{\sqrt {-1+2 x^2}} \, dx\) [198]
  3.2.99 \(\int \genfrac {}{}{}{}{(a+b x^2)^{7/2}}{\sqrt {c+d x^2}} \, dx\) [199]
  3.2.100 \(\int \genfrac {}{}{}{}{(a+b x^2)^{5/2}}{\sqrt {c+d x^2}} \, dx\) [200]