3.2 Integrals 101 to 200

  3.2.1 \(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^6}}{x^9} \, dx\) [101]
  3.2.2 \(\int \genfrac {}{}{}{}{\sqrt {-1+x^6}}{x^{10}} \, dx\) [102]
  3.2.3 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {1+x^6}} \, dx\) [103]
  3.2.4 \(\int \genfrac {}{}{}{}{1}{x^5 \sqrt [3]{1+x^6}} \, dx\) [104]
  3.2.5 \(\int \genfrac {}{}{}{}{-2+x^6}{x^4 \sqrt [4]{1+x^6}} \, dx\) [105]
  3.2.6 \(\int \genfrac {}{}{}{}{\sqrt {1+x^6}}{x^{10}} \, dx\) [106]
  3.2.7 \(\int \genfrac {}{}{}{}{(-2+x^6) (1+x^6)^{3/4}}{x^8} \, dx\) [107]
  3.2.8 \(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^6} (1+x^6)}{x^5} \, dx\) [108]
  3.2.9 \(\int \genfrac {}{}{}{}{2+x^6}{x^4 \sqrt [4]{-1+x^6}} \, dx\) [109]
  3.2.10 \(\int \genfrac {}{}{}{}{(-1+x^6)^{3/4} (2+x^6)}{x^8} \, dx\) [110]
  3.2.11 \(\int \genfrac {}{}{}{}{-3+2 x^5}{x^3 \sqrt [4]{x+x^6}} \, dx\) [111]
  3.2.12 \(\int \genfrac {}{}{}{}{\sqrt [3]{x+x^4} (-2-x^3+x^6)}{x^6} \, dx\) [112]
  3.2.13 \(\int \genfrac {}{}{}{}{x (2+x^6)}{\sqrt {-1+x^6} (-1-x^4+x^6)} \, dx\) [113]
  3.2.14 \(\int \genfrac {}{}{}{}{-1+x^8}{x^4 \sqrt {-1+x^4}} \, dx\) [114]
  3.2.15 \(\int \genfrac {}{}{}{}{(-1+x^8) \sqrt {1+x^8}}{x^7} \, dx\) [115]
  3.2.16 \(\int \genfrac {}{}{}{}{2+x+2 x^2}{(-1+2 x) \sqrt {x+x^4}} \, dx\) [116]
  3.2.17 \(\int \genfrac {}{}{}{}{-1+x^2}{(1+x^2) \sqrt {1+x^2+x^4}} \, dx\) [117]
  3.2.18 \(\int \genfrac {}{}{}{}{-1+x^4}{(1+x^4) \sqrt {1+x^2+x^4}} \, dx\) [118]
  3.2.19 \(\int \genfrac {}{}{}{}{-1+2 x^2+2 x^4}{(1+2 x^2) \sqrt {-1+x^6}} \, dx\) [119]
  3.2.20 \(\int \genfrac {}{}{}{}{x^3}{(-1+x^2)^{3/4}} \, dx\) [120]
  3.2.21 \(\int \genfrac {}{}{}{}{3+x}{(-1+x)^2 \sqrt [3]{-1+x^2}} \, dx\) [121]
  3.2.22 \(\int \genfrac {}{}{}{}{x^3}{(1+x^2)^{2/3}} \, dx\) [122]
  3.2.23 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [3]{-x+x^3}} \, dx\) [123]
  3.2.24 \(\int \genfrac {}{}{}{}{\sqrt [3]{-x+x^3}}{x^4} \, dx\) [124]
  3.2.25 \(\int \genfrac {}{}{}{}{-1+x^2}{(1+x^2) \sqrt {x+x^3}} \, dx\) [125]
  3.2.26 \(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{x^2+x^3}} \, dx\) [126]
  3.2.27 \(\int \genfrac {}{}{}{}{2+x}{x^2 \sqrt [4]{x^2+x^3}} \, dx\) [127]
  3.2.28 \(\int \genfrac {}{}{}{}{(-2 b+a x^3) \sqrt {b+a x^3}}{x^4} \, dx\) [128]
  3.2.29 \(\int \genfrac {}{}{}{}{1+x+x^2}{(-1+x)^2 \sqrt {-1+x^4}} \, dx\) [129]
  3.2.30 \(\int \genfrac {}{}{}{}{-1+x^4}{x^2 \sqrt {-x+x^3}} \, dx\) [130]
  3.2.31 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {-x+x^4}} \, dx\) [131]
  3.2.32 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [4]{-x+x^4}} \, dx\) [132]
  3.2.33 \(\int \genfrac {}{}{}{}{-1+x^3}{x^6 \sqrt [4]{-x+x^4}} \, dx\) [133]
  3.2.34 \(\int \genfrac {}{}{}{}{\sqrt [4]{-x+x^4}}{x^5} \, dx\) [134]
  3.2.35 \(\int \genfrac {}{}{}{}{(2+x^3) \sqrt [3]{-x+x^4}}{(-1+x^3)^2} \, dx\) [135]
  3.2.36 \(\int \genfrac {}{}{}{}{\sqrt {-x+x^4}}{x^6} \, dx\) [136]
  3.2.37 \(\int \genfrac {}{}{}{}{x}{\sqrt {x+x^4}} \, dx\) [137]
  3.2.38 \(\int \genfrac {}{}{}{}{-2+x^3}{(1+x^3) \sqrt [3]{x+x^4}} \, dx\) [138]
  3.2.39 \(\int \genfrac {}{}{}{}{-1+x^2}{x \sqrt [3]{x^2+x^4}} \, dx\) [139]
  3.2.40 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [4]{x^2+x^4}} \, dx\) [140]
  3.2.41 \(\int \genfrac {}{}{}{}{\sqrt [4]{x^2+x^4}}{x^4} \, dx\) [141]
  3.2.42 \(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt [3]{x^2+x^4}}{x^3} \, dx\) [142]
  3.2.43 \(\int \genfrac {}{}{}{}{1}{x \sqrt [4]{x^3+x^4}} \, dx\) [143]
  3.2.44 \(\int \genfrac {}{}{}{}{(1+x) \sqrt [4]{x^3+x^4}}{x^4} \, dx\) [144]
  3.2.45 \(\int \genfrac {}{}{}{}{-2-x+2 x^4}{(1+x+x^4) \sqrt {1+x+x^2+x^4}} \, dx\) [145]
  3.2.46 \(\int \genfrac {}{}{}{}{3+x^4}{x^3 \sqrt [4]{-x+x^5}} \, dx\) [146]
  3.2.47 \(\int \genfrac {}{}{}{}{(-1+x^4) (3+x^4)}{x^6 \sqrt [4]{-x+x^5}} \, dx\) [147]
  3.2.48 \(\int \genfrac {}{}{}{}{-3+x^4}{(1+x^4) \sqrt [4]{x+x^5}} \, dx\) [148]
  3.2.49 \(\int \genfrac {}{}{}{}{(-1+2 x^3) \sqrt [3]{x^2+x^5}}{x^3} \, dx\) [149]
  3.2.50 \(\int \genfrac {}{}{}{}{-1+x^2}{x \sqrt [4]{x^3+x^5}} \, dx\) [150]
  3.2.51 \(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{x^3+x^5}}{x^4} \, dx\) [151]
  3.2.52 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {-1+x^6}} \, dx\) [152]
  3.2.53 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1+x^6}} \, dx\) [153]
  3.2.54 \(\int \genfrac {}{}{}{}{(-1+x^5) (3+2 x^5)}{x^6 \sqrt [4]{-x+x^6}} \, dx\) [154]
  3.2.55 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [3]{x^2+x^6}} \, dx\) [155]
  3.2.56 \(\int \genfrac {}{}{}{}{-1+x^4}{x^2 \sqrt [4]{x^2+x^6}} \, dx\) [156]
  3.2.57 \(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{x^2+x^6}}{x^4} \, dx\) [157]
  3.2.58 \(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {1+x^2}}}{\sqrt {1+x^2}} \, dx\) [158]
  3.2.59 \(\int \genfrac {}{}{}{}{-2-2 x+x^2}{(1+x+x^2) \sqrt {-1+x^3}} \, dx\) [159]
  3.2.60 \(\int \genfrac {}{}{}{}{b+a x^2}{x \sqrt {-b x+a x^3}} \, dx\) [160]
  3.2.61 \(\int \genfrac {}{}{}{}{-1-2 x+2 x^2}{(1+2 x^2) \sqrt {x+x^4}} \, dx\) [161]
  3.2.62 \(\int \genfrac {}{}{}{}{1+x^4}{(-1+x^4) \sqrt {-1-x^2+x^4}} \, dx\) [162]
  3.2.63 \(\int \genfrac {}{}{}{}{x}{\sqrt [5]{1-4 x+6 x^2-4 x^3+x^4}} \, dx\) [163]
  3.2.64 \(\int \genfrac {}{}{}{}{-2+x^6}{x^4 \sqrt [4]{1+x^4+x^6}} \, dx\) [164]
  3.2.65 \(\int \genfrac {}{}{}{}{1+x^8}{x^4 \sqrt [4]{-1+x^4+x^8}} \, dx\) [165]
  3.2.66 \(\int \genfrac {}{}{}{}{-1+x^8}{x^4 \sqrt [4]{1+x^4+x^8}} \, dx\) [166]
  3.2.67 \(\int \genfrac {}{}{}{}{1+x^2}{(-1+x^2) \sqrt {-x+x^3}} \, dx\) [167]
  3.2.68 \(\int \genfrac {}{}{}{}{1}{(1+x^2) \sqrt [3]{x+x^3}} \, dx\) [168]
  3.2.69 \(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{-x^2+x^3}} \, dx\) [169]
  3.2.70 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {-b+a x^3}} \, dx\) [170]
  3.2.71 \(\int x^2 \sqrt {-b+a x^3} \, dx\) [171]
  3.2.72 \(\int \genfrac {}{}{}{}{\sqrt {-b+a x^3} (2 b+a x^3)}{x^4} \, dx\) [172]
  3.2.73 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [4]{-x^2+x^4}} \, dx\) [173]
  3.2.74 \(\int \genfrac {}{}{}{}{\sqrt [4]{-x^2+x^4}}{x^4} \, dx\) [174]
  3.2.75 \(\int \genfrac {}{}{}{}{(1+x^2) \sqrt [3]{-x^2+x^4}}{x^3} \, dx\) [175]
  3.2.76 \(\int \genfrac {}{}{}{}{1}{x \sqrt [4]{-x^3+x^4}} \, dx\) [176]
  3.2.77 \(\int \genfrac {}{}{}{}{(-1+x) \sqrt [4]{-x^3+x^4}}{x^4} \, dx\) [177]
  3.2.78 \(\int \genfrac {}{}{}{}{\sqrt [4]{-x^3+x^4}}{x^3} \, dx\) [178]
  3.2.79 \(\int x (1+2 x^2) \sqrt {-1+2 x^2+2 x^4} \, dx\) [179]
  3.2.80 \(\int \genfrac {}{}{}{}{(1+2 x^3) \sqrt [3]{-x^2+x^5}}{x^3} \, dx\) [180]
  3.2.81 \(\int \genfrac {}{}{}{}{-1+x^4}{x^2 \sqrt [4]{-x^3+x^5}} \, dx\) [181]
  3.2.82 \(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{-x^3+x^5}}{x^4} \, dx\) [182]
  3.2.83 \(\int \genfrac {}{}{}{}{-1-2 x^2+2 x^4}{x^2 (1+x^2) \sqrt {1+x^6}} \, dx\) [183]
  3.2.84 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [3]{-x^2+x^6}} \, dx\) [184]
  3.2.85 \(\int \genfrac {}{}{}{}{1+x^4}{x^2 \sqrt [4]{-x^2+x^6}} \, dx\) [185]
  3.2.86 \(\int \genfrac {}{}{}{}{(1+x^4) \sqrt [4]{-x^2+x^6}}{x^4} \, dx\) [186]
  3.2.87 \(\int \genfrac {}{}{}{}{-1+x^8}{x^4 \sqrt [4]{-x^2+x^6}} \, dx\) [187]
  3.2.88 \(\int \genfrac {}{}{}{}{1+x^8}{\sqrt [4]{1-x^8} (-1+x^8)} \, dx\) [188]
  3.2.89 \(\int \genfrac {}{}{}{}{1}{\sqrt {-x^2+x^8}} \, dx\) [189]
  3.2.90 \(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {1+x^2}}}{1+x^2} \, dx\) [190]
  3.2.91 \(\int \genfrac {}{}{}{}{-1+x}{(2+x) \sqrt {-1+x^3}} \, dx\) [191]
  3.2.92 \(\int \genfrac {}{}{}{}{-2-2 x+x^2}{(2+x^2) \sqrt {-1+x^3}} \, dx\) [192]
  3.2.93 \(\int \genfrac {}{}{}{}{-2-2 x+x^2}{(2 x+x^2) \sqrt {-1+x^3}} \, dx\) [193]
  3.2.94 \(\int \genfrac {}{}{}{}{-1+2 x+2 x^2}{(-1+x) x \sqrt {-x+x^4}} \, dx\) [194]
  3.2.95 \(\int \genfrac {}{}{}{}{-1+2 x+2 x^2}{(1+2 x^2) \sqrt {-x+x^4}} \, dx\) [195]
  3.2.96 \(\int \genfrac {}{}{}{}{-1-2 x+2 x^2}{(-1+2 x) \sqrt {x+x^4}} \, dx\) [196]
  3.2.97 \(\int \genfrac {}{}{}{}{-1-2 x+2 x^2}{(1-x+x^2) \sqrt {x+x^4}} \, dx\) [197]
  3.2.98 \(\int \genfrac {}{}{}{}{1}{(1+x) \sqrt [4]{x^3+x^4}} \, dx\) [198]
  3.2.99 \(\int \genfrac {}{}{}{}{1+2 x^4}{(-1+2 x^4) \sqrt {-1-x^2+2 x^4}} \, dx\) [199]
  3.2.100 \(\int \genfrac {}{}{}{}{-1+2 x^4}{(1+2 x^2+2 x^4) \sqrt {1+3 x^2+2 x^4}} \, dx\) [200]