3.2 Integrals 101 to 200

\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^6}}{x^9} \, dx\) [101]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^6}}{x^{10}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {1+x^6}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{1}{x^5 \sqrt [3]{1+x^6}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{-2+x^6}{x^4 \sqrt [4]{1+x^6}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^6}}{x^{10}} \, dx\) [106]
\(\int \genfrac {}{}{}{}{(-2+x^6) (1+x^6)^{3/4}}{x^8} \, dx\) [107]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^6} (1+x^6)}{x^5} \, dx\) [108]
\(\int \genfrac {}{}{}{}{2+x^6}{x^4 \sqrt [4]{-1+x^6}} \, dx\) [109]
\(\int \genfrac {}{}{}{}{(-1+x^6)^{3/4} (2+x^6)}{x^8} \, dx\) [110]
\(\int \genfrac {}{}{}{}{-3+2 x^5}{x^3 \sqrt [4]{x+x^6}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{\sqrt [3]{x+x^4} (-2-x^3+x^6)}{x^6} \, dx\) [112]
\(\int \genfrac {}{}{}{}{x (2+x^6)}{\sqrt {-1+x^6} (-1-x^4+x^6)} \, dx\) [113]
\(\int \genfrac {}{}{}{}{-1+x^8}{x^4 \sqrt {-1+x^4}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{(-1+x^8) \sqrt {1+x^8}}{x^7} \, dx\) [115]
\(\int \genfrac {}{}{}{}{2+x+2 x^2}{(-1+2 x) \sqrt {x+x^4}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{-1+x^2}{(1+x^2) \sqrt {1+x^2+x^4}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{-1+x^4}{(1+x^4) \sqrt {1+x^2+x^4}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{-1+2 x^2+2 x^4}{(1+2 x^2) \sqrt {-1+x^6}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{x^3}{(-1+x^2)^{3/4}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{3+x}{(-1+x)^2 \sqrt [3]{-1+x^2}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{x^3}{(1+x^2)^{2/3}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [3]{-x+x^3}} \, dx\) [123]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-x+x^3}}{x^4} \, dx\) [124]
\(\int \genfrac {}{}{}{}{-1+x^2}{(1+x^2) \sqrt {x+x^3}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{x^2+x^3}} \, dx\) [126]
\(\int \genfrac {}{}{}{}{2+x}{x^2 \sqrt [4]{x^2+x^3}} \, dx\) [127]
\(\int \genfrac {}{}{}{}{(-2 b+a x^3) \sqrt {b+a x^3}}{x^4} \, dx\) [128]
\(\int \genfrac {}{}{}{}{1+x+x^2}{(-1+x)^2 \sqrt {-1+x^4}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{-1+x^4}{x^2 \sqrt {-x+x^3}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {-x+x^4}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [4]{-x+x^4}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{-1+x^3}{x^6 \sqrt [4]{-x+x^4}} \, dx\) [133]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-x+x^4}}{x^5} \, dx\) [134]
\(\int \genfrac {}{}{}{}{(2+x^3) \sqrt [3]{-x+x^4}}{(-1+x^3)^2} \, dx\) [135]
\(\int \genfrac {}{}{}{}{\sqrt {-x+x^4}}{x^6} \, dx\) [136]
\(\int \genfrac {}{}{}{}{x}{\sqrt {x+x^4}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{-2+x^3}{(1+x^3) \sqrt [3]{x+x^4}} \, dx\) [138]
\(\int \genfrac {}{}{}{}{-1+x^2}{x \sqrt [3]{x^2+x^4}} \, dx\) [139]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [4]{x^2+x^4}} \, dx\) [140]
\(\int \genfrac {}{}{}{}{\sqrt [4]{x^2+x^4}}{x^4} \, dx\) [141]
\(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt [3]{x^2+x^4}}{x^3} \, dx\) [142]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [4]{x^3+x^4}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{(1+x) \sqrt [4]{x^3+x^4}}{x^4} \, dx\) [144]
\(\int \genfrac {}{}{}{}{-2-x+2 x^4}{(1+x+x^4) \sqrt {1+x+x^2+x^4}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{3+x^4}{x^3 \sqrt [4]{-x+x^5}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{(-1+x^4) (3+x^4)}{x^6 \sqrt [4]{-x+x^5}} \, dx\) [147]
\(\int \genfrac {}{}{}{}{-3+x^4}{(1+x^4) \sqrt [4]{x+x^5}} \, dx\) [148]
\(\int \genfrac {}{}{}{}{(-1+2 x^3) \sqrt [3]{x^2+x^5}}{x^3} \, dx\) [149]
\(\int \genfrac {}{}{}{}{-1+x^2}{x \sqrt [4]{x^3+x^5}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{x^3+x^5}}{x^4} \, dx\) [151]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {-1+x^6}} \, dx\) [152]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1+x^6}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{(-1+x^5) (3+2 x^5)}{x^6 \sqrt [4]{-x+x^6}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [3]{x^2+x^6}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{-1+x^4}{x^2 \sqrt [4]{x^2+x^6}} \, dx\) [156]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{x^2+x^6}}{x^4} \, dx\) [157]
\(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {1+x^2}}}{\sqrt {1+x^2}} \, dx\) [158]
\(\int \genfrac {}{}{}{}{-2-2 x+x^2}{(1+x+x^2) \sqrt {-1+x^3}} \, dx\) [159]
\(\int \genfrac {}{}{}{}{b+a x^2}{x \sqrt {-b x+a x^3}} \, dx\) [160]
\(\int \genfrac {}{}{}{}{-1-2 x+2 x^2}{(1+2 x^2) \sqrt {x+x^4}} \, dx\) [161]
\(\int \genfrac {}{}{}{}{1+x^4}{(-1+x^4) \sqrt {-1-x^2+x^4}} \, dx\) [162]
\(\int \genfrac {}{}{}{}{x}{\sqrt [5]{1-4 x+6 x^2-4 x^3+x^4}} \, dx\) [163]
\(\int \genfrac {}{}{}{}{-2+x^6}{x^4 \sqrt [4]{1+x^4+x^6}} \, dx\) [164]
\(\int \genfrac {}{}{}{}{1+x^8}{x^4 \sqrt [4]{-1+x^4+x^8}} \, dx\) [165]
\(\int \genfrac {}{}{}{}{-1+x^8}{x^4 \sqrt [4]{1+x^4+x^8}} \, dx\) [166]
\(\int \genfrac {}{}{}{}{1+x^2}{(-1+x^2) \sqrt {-x+x^3}} \, dx\) [167]
\(\int \genfrac {}{}{}{}{1}{(1+x^2) \sqrt [3]{x+x^3}} \, dx\) [168]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{-x^2+x^3}} \, dx\) [169]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {-b+a x^3}} \, dx\) [170]
\(\int x^2 \sqrt {-b+a x^3} \, dx\) [171]
\(\int \genfrac {}{}{}{}{\sqrt {-b+a x^3} (2 b+a x^3)}{x^4} \, dx\) [172]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [4]{-x^2+x^4}} \, dx\) [173]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-x^2+x^4}}{x^4} \, dx\) [174]
\(\int \genfrac {}{}{}{}{(1+x^2) \sqrt [3]{-x^2+x^4}}{x^3} \, dx\) [175]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [4]{-x^3+x^4}} \, dx\) [176]
\(\int \genfrac {}{}{}{}{(-1+x) \sqrt [4]{-x^3+x^4}}{x^4} \, dx\) [177]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-x^3+x^4}}{x^3} \, dx\) [178]
\(\int x (1+2 x^2) \sqrt {-1+2 x^2+2 x^4} \, dx\) [179]
\(\int \genfrac {}{}{}{}{(1+2 x^3) \sqrt [3]{-x^2+x^5}}{x^3} \, dx\) [180]
\(\int \genfrac {}{}{}{}{-1+x^4}{x^2 \sqrt [4]{-x^3+x^5}} \, dx\) [181]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{-x^3+x^5}}{x^4} \, dx\) [182]
\(\int \genfrac {}{}{}{}{-1-2 x^2+2 x^4}{x^2 (1+x^2) \sqrt {1+x^6}} \, dx\) [183]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [3]{-x^2+x^6}} \, dx\) [184]
\(\int \genfrac {}{}{}{}{1+x^4}{x^2 \sqrt [4]{-x^2+x^6}} \, dx\) [185]
\(\int \genfrac {}{}{}{}{(1+x^4) \sqrt [4]{-x^2+x^6}}{x^4} \, dx\) [186]
\(\int \genfrac {}{}{}{}{-1+x^8}{x^4 \sqrt [4]{-x^2+x^6}} \, dx\) [187]
\(\int \genfrac {}{}{}{}{1+x^8}{\sqrt [4]{1-x^8} (-1+x^8)} \, dx\) [188]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-x^2+x^8}} \, dx\) [189]
\(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {1+x^2}}}{1+x^2} \, dx\) [190]
\(\int \genfrac {}{}{}{}{-1+x}{(2+x) \sqrt {-1+x^3}} \, dx\) [191]
\(\int \genfrac {}{}{}{}{-2-2 x+x^2}{(2+x^2) \sqrt {-1+x^3}} \, dx\) [192]
\(\int \genfrac {}{}{}{}{-2-2 x+x^2}{(2 x+x^2) \sqrt {-1+x^3}} \, dx\) [193]
\(\int \genfrac {}{}{}{}{-1+2 x+2 x^2}{(-1+x) x \sqrt {-x+x^4}} \, dx\) [194]
\(\int \genfrac {}{}{}{}{-1+2 x+2 x^2}{(1+2 x^2) \sqrt {-x+x^4}} \, dx\) [195]
\(\int \genfrac {}{}{}{}{-1-2 x+2 x^2}{(-1+2 x) \sqrt {x+x^4}} \, dx\) [196]
\(\int \genfrac {}{}{}{}{-1-2 x+2 x^2}{(1-x+x^2) \sqrt {x+x^4}} \, dx\) [197]
\(\int \genfrac {}{}{}{}{1}{(1+x) \sqrt [4]{x^3+x^4}} \, dx\) [198]
\(\int \genfrac {}{}{}{}{1+2 x^4}{(-1+2 x^4) \sqrt {-1-x^2+2 x^4}} \, dx\) [199]
\(\int \genfrac {}{}{}{}{-1+2 x^4}{(1+2 x^2+2 x^4) \sqrt {1+3 x^2+2 x^4}} \, dx\) [200]