3.2 Integrals 101 to 200

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