3.2 Integrals 101 to 200

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