3.2 Integrals 101 to 200

\(\int \genfrac {}{}{}{}{x^{17}}{(a+b x^8) \sqrt {c+d x^8}} \, dx\) [101]
\(\int \genfrac {}{}{}{}{x^9}{(a+b x^8) \sqrt {c+d x^8}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{x}{(a+b x^8) \sqrt {c+d x^8}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{1}{x^7 (a+b x^8) \sqrt {c+d x^8}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{x^{13}}{(a+b x^8) \sqrt {c+d x^8}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{x^5}{(a+b x^8) \sqrt {c+d x^8}} \, dx\) [106]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^8) \sqrt {c+d x^8}} \, dx\) [107]
\(\int \genfrac {}{}{}{}{x^4}{(a+b x^8) \sqrt {c+d x^8}} \, dx\) [108]
\(\int \genfrac {}{}{}{}{x^2}{(a+b x^8) \sqrt {c+d x^8}} \, dx\) [109]
\(\int \genfrac {}{}{}{}{1}{(a+b x^8) \sqrt {c+d x^8}} \, dx\) [110]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^8) \sqrt {c+d x^8}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{1}{x^4 (a+b x^8) \sqrt {c+d x^8}} \, dx\) [112]
\(\int \genfrac {}{}{}{}{x^{23}}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{x^{15}}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{x^7}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{1}{x^9 (a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{x^{19}}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{x^{11}}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{x^3}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{1}{x^5 (a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{1}{x^{13} (a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{x^{25}}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [123]
\(\int \genfrac {}{}{}{}{x^{17}}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [124]
\(\int \genfrac {}{}{}{}{x^9}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{x}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [126]
\(\int \genfrac {}{}{}{}{1}{x^7 (a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [127]
\(\int \genfrac {}{}{}{}{x^{13}}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [128]
\(\int \genfrac {}{}{}{}{x^5}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{x^4}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{x^2}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{1}{(a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [133]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [134]
\(\int \genfrac {}{}{}{}{1}{x^4 (a+b x^8)^2 \sqrt {c+d x^8}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{x^8 (c+d x^8)}{(a+b x^8)^{5/4}} \, dx\) [136]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^5 \, dx\) [137]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^3 \, dx\) [138]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x \, dx\) [139]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}}}{x} \, dx\) [140]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}}}{x^3} \, dx\) [141]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}}}{x^5} \, dx\) [142]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}}}{x^7} \, dx\) [143]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}}}{x^9} \, dx\) [144]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^{10} \, dx\) [145]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^8 \, dx\) [146]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^6 \, dx\) [147]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^4 \, dx\) [148]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^2 \, dx\) [149]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}}}{x^2} \, dx\) [151]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) \sqrt {c+\genfrac {}{}{}{}{d}{x^2}}}{x^4} \, dx\) [152]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^5 \, dx\) [153]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^3 \, dx\) [154]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x \, dx\) [155]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2}}{x} \, dx\) [156]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2}}{x^3} \, dx\) [157]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2}}{x^5} \, dx\) [158]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2}}{x^7} \, dx\) [159]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2}}{x^9} \, dx\) [160]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^{12} \, dx\) [161]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^{10} \, dx\) [162]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^8 \, dx\) [163]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^6 \, dx\) [164]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^4 \, dx\) [165]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^2 \, dx\) [166]
\(\int (a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2} \, dx\) [167]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2}}{x^2} \, dx\) [168]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) (c+\genfrac {}{}{}{}{d}{x^2})^{3/2}}{x^4} \, dx\) [169]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) x^3}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}}} \, dx\) [170]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) x}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}}} \, dx\) [171]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x} \, dx\) [172]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^3} \, dx\) [173]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^5} \, dx\) [174]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^7} \, dx\) [175]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) x^4}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}}} \, dx\) [176]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) x^2}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}}} \, dx\) [177]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}}} \, dx\) [178]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^2} \, dx\) [179]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{\sqrt {c+\genfrac {}{}{}{}{d}{x^2}} x^4} \, dx\) [180]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) x^3}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2}} \, dx\) [181]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) x}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2}} \, dx\) [182]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x} \, dx\) [183]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^3} \, dx\) [184]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^5} \, dx\) [185]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^7} \, dx\) [186]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^9} \, dx\) [187]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) x^4}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2}} \, dx\) [188]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2}) x^2}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2}} \, dx\) [189]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2}} \, dx\) [190]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^2} \, dx\) [191]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^4} \, dx\) [192]
\(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{(c+\genfrac {}{}{}{}{d}{x^2})^{3/2} x^6} \, dx\) [193]
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q x^4 \, dx\) [194]
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q x^2 \, dx\) [195]
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q \, dx\) [196]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{x^2} \, dx\) [197]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{x^4} \, dx\) [198]
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q x^3 \, dx\) [199]
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q x \, dx\) [200]