3.2 Integrals 101 to 200

\(\int \genfrac {}{}{}{}{(A+B x^2) (a-c x^4)^{3/2}}{\sqrt {d+e x^2}} \, dx\) [101]
\(\int \genfrac {}{}{}{}{(A+B x^2) (a-c x^4)^{3/2}}{(d+e x^2)^{3/2}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{(A+B x^2) (a-c x^4)^{3/2}}{(d+e x^2)^{5/2}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{(A+B x^2) (a-c x^4)^{3/2}}{(d+e x^2)^{7/2}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{(A+B x^2) (a-c x^4)^{3/2}}{(d+e x^2)^{9/2}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{(A+B x^2) (a-c x^4)^{3/2}}{(d+e x^2)^{11/2}} \, dx\) [106]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^{3/2}}{\sqrt {a-c x^4}} \, dx\) [107]
\(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {d+e x^2}}{\sqrt {a-c x^4}} \, dx\) [108]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {d+e x^2} \sqrt {a-c x^4}} \, dx\) [109]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^{3/2} \sqrt {a-c x^4}} \, dx\) [110]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^{5/2} \sqrt {a-c x^4}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^{5/2}}{(a-c x^4)^{3/2}} \, dx\) [112]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^{3/2}}{(a-c x^4)^{3/2}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {d+e x^2}}{(a-c x^4)^{3/2}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {d+e x^2} (a-c x^4)^{3/2}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^{3/2} (a-c x^4)^{3/2}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {d+e x^2} \sqrt {a-c x^4}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{2 A e+C d x^2+2 C e x^4}{\sqrt {d+e x^2} \sqrt {a-c x^4}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {a+c x^4}}{\sqrt {d+e x^2}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {d+e x^2} \sqrt {a+c x^4}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {d+e x^2} \sqrt {a+c x^4}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{2 A e+C d x^2+2 C e x^4}{\sqrt {d+e x^2} \sqrt {a+c x^4}} \, dx\) [122]
\(\int (A+B x^2) (d+e x^2)^q (a+c x^4) \, dx\) [123]
\(\int (A+B x^2) (d+e x^2)^q \, dx\) [124]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^q}{a+c x^4} \, dx\) [125]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^q}{(a+c x^4)^2} \, dx\) [126]
\(\int (d+e x^2)^q (a+c x^4) (A+B x^2+C x^4) \, dx\) [127]
\(\int (d+e x^2)^q (A+B x^2+C x^4) \, dx\) [128]
\(\int \genfrac {}{}{}{}{(d+e x^2)^q (A+B x^2+C x^4)}{a+c x^4} \, dx\) [129]
\(\int \genfrac {}{}{}{}{(d+e x^2)^q (A+B x^2+C x^4)}{(a+c x^4)^2} \, dx\) [130]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) \sqrt {a d^2+b d^2 x^2+(b d e-a e^2) x^4}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d-e x^2) \sqrt {a d^2+b d^2 x^2+(b d e-a e^2) x^4}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x^2+x^4}}{(1+x^2)^2} \, dx\) [133]
\(\int \genfrac {}{}{}{}{(2+x^2)^2}{(2+3 x^2+x^4)^{3/2}} \, dx\) [134]
\(\int \genfrac {}{}{}{}{2+x^2}{(1+x^2) \sqrt {2+3 x^2+x^4}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{4+x^2-2 x^4}{(1+x^2)^2 \sqrt {1+x^2+x^4}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {d+e x^2}}{\sqrt {a d+(b d+a e) x^2+b e x^4}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {d+e x^2} \sqrt {d e+(d^2+e^2) x^2+d e x^4}} \, dx\) [138]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {d-e x^2} \sqrt {-d e+(d^2+e^2) x^2-d e x^4}} \, dx\) [139]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {-d+e x^2} \sqrt {-d e+(d^2+e^2) x^2-d e x^4}} \, dx\) [140]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {-d-e x^2} \sqrt {d e+(d^2+e^2) x^2+d e x^4}} \, dx\) [141]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {d+e x^2} \sqrt {-d e+(d^2-e^2) x^2+d e x^4}} \, dx\) [142]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {d-e x^2} \sqrt {d e+(d^2-e^2) x^2-d e x^4}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {-d+e x^2} \sqrt {d e+(d^2-e^2) x^2-d e x^4}} \, dx\) [144]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {-d-e x^2} \sqrt {-d e+(d^2-e^2) x^2+d e x^4}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{5/2} (A+B x^2+C x^4)}{\sqrt {a d+(b d+a e) x^2+b e x^4}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (A+B x^2+C x^4)}{\sqrt {a d+(b d+a e) x^2+b e x^4}} \, dx\) [147]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (A+B x^2+C x^4)}{\sqrt {a d+(b d+a e) x^2+b e x^4}} \, dx\) [148]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {d+e x^2} \sqrt {a d+(b d+a e) x^2+b e x^4}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(d+e x^2)^{3/2} \sqrt {a d+(b d+a e) x^2+b e x^4}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(d+e x^2)^{5/2} \sqrt {a d+(b d+a e) x^2+b e x^4}} \, dx\) [151]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(d+e x^2)^{7/2} \sqrt {a d+(b d+a e) x^2+b e x^4}} \, dx\) [152]
\(\int \genfrac {}{}{}{}{1-\sqrt {3}-2 x^2}{\sqrt {1+x^2} (1-x^2+x^4)} \, dx\) [153]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{5/2} (A+B x^2+C x^4)}{a+b x^2+c x^4} \, dx\) [154]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (A+B x^2+C x^4)}{a+b x^2+c x^4} \, dx\) [155]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (A+B x^2+C x^4)}{a+b x^2+c x^4} \, dx\) [156]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {d+e x^2} (a+b x^2+c x^4)} \, dx\) [157]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(d+e x^2)^{3/2} (a+b x^2+c x^4)} \, dx\) [158]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(d+e x^2)^{5/2} (a+b x^2+c x^4)} \, dx\) [159]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{5/2} (A+B x^2+C x^4)}{(a+b x^2+c x^4)^2} \, dx\) [160]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (A+B x^2+C x^4)}{(a+b x^2+c x^4)^2} \, dx\) [161]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (A+B x^2+C x^4)}{(a+b x^2+c x^4)^2} \, dx\) [162]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {d+e x^2} (a+b x^2+c x^4)^2} \, dx\) [163]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(d+e x^2)^{3/2} (a+b x^2+c x^4)^2} \, dx\) [164]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(d+e x^2)^{5/2} (a+b x^2+c x^4)^2} \, dx\) [165]
\(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt [3]{d+e x^2}}{a+b x^2+c x^4} \, dx\) [166]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^3}{\sqrt {a+b x^2+c x^4}} \, dx\) [167]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^2}{\sqrt {a+b x^2+c x^4}} \, dx\) [168]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [169]
\(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2+c x^4}} \, dx\) [170]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [171]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^2 \sqrt {a+b x^2+c x^4}} \, dx\) [172]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^3 \sqrt {a+b x^2+c x^4}} \, dx\) [173]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^3}{(a+b x^2+c x^4)^{3/2}} \, dx\) [174]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^2}{(a+b x^2+c x^4)^{3/2}} \, dx\) [175]
\(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)}{(a+b x^2+c x^4)^{3/2}} \, dx\) [176]
\(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2+c x^4)^{3/2}} \, dx\) [177]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) (a+b x^2+c x^4)^{3/2}} \, dx\) [178]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^2 (a+b x^2+c x^4)^{3/2}} \, dx\) [179]
\(\int \genfrac {}{}{}{}{1+\genfrac {}{}{}{}{\sqrt {c} x^2}{\sqrt {a}}}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [180]
\(\int \genfrac {}{}{}{}{1+\sqrt {\genfrac {}{}{}{}{c}{a}} x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [181]
\(\int \genfrac {}{}{}{}{1-\genfrac {}{}{}{}{\sqrt {c} x^2}{\sqrt {a}}}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [182]
\(\int \genfrac {}{}{}{}{1-\sqrt {\genfrac {}{}{}{}{c}{a}} x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [183]
\(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) \sqrt {b x^2+c (\genfrac {}{}{}{}{a}{c}+x^4)}} \, dx\) [184]
\(\int \genfrac {}{}{}{}{946+315 x^2}{(7+5 x^2) \sqrt {2+3 x^2+x^4}} \, dx\) [185]
\(\int \genfrac {}{}{}{}{\sqrt {a}+\sqrt {c} x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [186]
\(\int \genfrac {}{}{}{}{1+\sqrt {\genfrac {}{}{}{}{c}{a}} x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [187]
\(\int \genfrac {}{}{}{}{2+3 \sqrt {2}+2 (3+\sqrt {2}) x^2}{(3+2 x^2) \sqrt {1+2 x^2+2 x^4}} \, dx\) [188]
\(\int \genfrac {}{}{}{}{a+b+\sqrt {b} \sqrt {a+b}-(b+\sqrt {b} \sqrt {a+b}) x^2}{(1-x^2) \sqrt {a+b-2 b x^2+b x^4}} \, dx\) [189]
\(\int (1+2 x^2)^3 (4-7 x^2+x^4) \sqrt {2+5 x^2+3 x^4} \, dx\) [190]
\(\int (1+2 x^2)^2 (4-7 x^2+x^4) \sqrt {2+5 x^2+3 x^4} \, dx\) [191]
\(\int (1+2 x^2) (4-7 x^2+x^4) \sqrt {2+5 x^2+3 x^4} \, dx\) [192]
\(\int (4-7 x^2+x^4) \sqrt {2+5 x^2+3 x^4} \, dx\) [193]
\(\int \genfrac {}{}{}{}{(4-7 x^2+x^4) \sqrt {2+5 x^2+3 x^4}}{1+2 x^2} \, dx\) [194]
\(\int \genfrac {}{}{}{}{(4-7 x^2+x^4) \sqrt {2+5 x^2+3 x^4}}{(1+2 x^2)^2} \, dx\) [195]
\(\int \genfrac {}{}{}{}{(4-7 x^2+x^4) \sqrt {2+5 x^2+3 x^4}}{(1+2 x^2)^3} \, dx\) [196]
\(\int (1+2 x^2)^3 (4-7 x^2+x^4) (2+5 x^2+3 x^4)^{3/2} \, dx\) [197]
\(\int (1+2 x^2)^2 (4-7 x^2+x^4) (2+5 x^2+3 x^4)^{3/2} \, dx\) [198]
\(\int (1+2 x^2) (4-7 x^2+x^4) (2+5 x^2+3 x^4)^{3/2} \, dx\) [199]
\(\int (4-7 x^2+x^4) (2+5 x^2+3 x^4)^{3/2} \, dx\) [200]