3.2 Integrals 101 to 151

\(\int \genfrac {}{}{}{}{a-3 b x^2}{(a+b x^2)^3} \, dx\) [101]
\(\int (a+b x^2)^{5/2} (a+8 b x^2) \, dx\) [102]
\(\int (a+b x^2)^{3/2} (a+6 b x^2) \, dx\) [103]
\(\int \sqrt {a+b x^2} (a+4 b x^2) \, dx\) [104]
\(\int \genfrac {}{}{}{}{a+2 b x^2}{\sqrt {a+b x^2}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{a-2 b x^2}{(a+b x^2)^{5/2}} \, dx\) [106]
\(\int \genfrac {}{}{}{}{a-4 b x^2}{(a+b x^2)^{7/2}} \, dx\) [107]
\(\int (a+b x^2)^p (A+B x^2) \, dx\) [108]
\(\int (a+b x^2)^3 (A+B x^2+C x^4) \, dx\) [109]
\(\int (a+b x^2)^2 (A+B x^2+C x^4) \, dx\) [110]
\(\int (a+b x^2) (A+B x^2+C x^4) \, dx\) [111]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{a+b x^2} \, dx\) [112]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^2} \, dx\) [113]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^3} \, dx\) [114]
\(\int (a+b x^2)^{3/2} (A+B x^2+C x^4) \, dx\) [115]
\(\int \sqrt {a+b x^2} (A+B x^2+C x^4) \, dx\) [116]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^{3/2}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^{5/2}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^{7/2}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^{9/2}} \, dx\) [121]
\(\int \sqrt [3]{a+b x^2} (A+B x^2+C x^4) \, dx\) [122]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^{2/3}} \, dx\) [123]
\(\int (a+b x^2)^{2/3} (A+B x^2+C x^4) \, dx\) [124]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt [3]{a+b x^2}} \, dx\) [125]
\(\int (a+b x^2)^p (A+B x^2+C x^4) \, dx\) [126]
\(\int (a+b x^2)^3 (A+B x^2+C x^4+D x^6) \, dx\) [127]
\(\int (a+b x^2)^2 (A+B x^2+C x^4+D x^6) \, dx\) [128]
\(\int (a+b x^2) (A+B x^2+C x^4+D x^6) \, dx\) [129]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{a+b x^2} \, dx\) [130]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^2} \, dx\) [131]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^3} \, dx\) [132]
\(\int (a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6) \, dx\) [133]
\(\int \sqrt {a+b x^2} (A+B x^2+C x^4+D x^6) \, dx\) [134]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{\sqrt {a+b x^2}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{3/2}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{5/2}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{7/2}} \, dx\) [138]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{9/2}} \, dx\) [139]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{11/2}} \, dx\) [140]
\(\int (a+b x^2)^{3/4} (A+B x^2+C x^4+D x^6) \, dx\) [141]
\(\int \sqrt [4]{a+b x^2} (A+B x^2+C x^4+D x^6) \, dx\) [142]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{\sqrt [4]{a+b x^2}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{3/4}} \, dx\) [144]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{5/4}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{7/4}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{9/4}} \, dx\) [147]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{11/4}} \, dx\) [148]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{13/4}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{15/4}} \, dx\) [150]
\(\int (a+b x^2)^p (A+B x^2+C x^4+D x^6) \, dx\) [151]