3.2 Integrals 101 to 200

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