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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]
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