3.2 Integrals 101 to 200

\(\int (a+b x)^4 (c+d x)^{10} \, dx\) [101]
\(\int (a+b x)^3 (c+d x)^{10} \, dx\) [102]
\(\int (a+b x)^2 (c+d x)^{10} \, dx\) [103]
\(\int (a+b x) (c+d x)^{10} \, dx\) [104]
\(\int (c+d x)^{10} \, dx\) [105]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{a+b x} \, dx\) [106]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^2} \, dx\) [107]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^3} \, dx\) [108]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^4} \, dx\) [109]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^5} \, dx\) [110]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^6} \, dx\) [111]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^7} \, dx\) [112]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^8} \, dx\) [113]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^9} \, dx\) [114]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{10}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{11}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{12}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{13}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{14}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{15}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{16}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{17}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{18}} \, dx\) [123]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{19}} \, dx\) [124]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{20}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{21}} \, dx\) [126]
\(\int \genfrac {}{}{}{}{(c+d x)^{10}}{(a+b x)^{22}} \, dx\) [127]
\(\int (a+b x)^4 (c+d x)^3 \, dx\) [128]
\(\int (a+b x)^4 (c+d x)^2 \, dx\) [129]
\(\int (a+b x)^4 (c+d x) \, dx\) [130]
\(\int (a+b x)^4 \, dx\) [131]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{c+d x} \, dx\) [132]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^2} \, dx\) [133]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^3} \, dx\) [134]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^4} \, dx\) [135]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^5} \, dx\) [136]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^6} \, dx\) [137]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^7} \, dx\) [138]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^8} \, dx\) [139]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^9} \, dx\) [140]
\(\int (c+d x)^3 (a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4) \, dx\) [141]
\(\int (c+d x)^2 (a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4) \, dx\) [142]
\(\int (c+d x) (a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4) \, dx\) [143]
\(\int (a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4) \, dx\) [144]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{c+d x} \, dx\) [145]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{(c+d x)^2} \, dx\) [146]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{(c+d x)^3} \, dx\) [147]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{(c+d x)^4} \, dx\) [148]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{(c+d x)^5} \, dx\) [149]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{(c+d x)^6} \, dx\) [150]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{(c+d x)^7} \, dx\) [151]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{(c+d x)^8} \, dx\) [152]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{(c+d x)^9} \, dx\) [153]
\(\int (c^3+3 c^2 d x+3 c d^2 x^2+d^3 x^3) (a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4) \, dx\) [154]
\(\int (c^2+2 c d x+d^2 x^2) (a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4) \, dx\) [155]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{c+d x} \, dx\) [156]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{c^2+2 c d x+d^2 x^2} \, dx\) [157]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{c^3+3 c^2 d x+3 c d^2 x^2+d^3 x^3} \, dx\) [158]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{c^4+4 c^3 d x+6 c^2 d^2 x^2+4 c d^3 x^3+d^4 x^4} \, dx\) [159]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{c^5+5 c^4 d x+10 c^3 d^2 x^2+10 c^2 d^3 x^3+5 c d^4 x^4+d^5 x^5} \, dx\) [160]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{c^6+6 c^5 d x+15 c^4 d^2 x^2+20 c^3 d^3 x^3+15 c^2 d^4 x^4+6 c d^5 x^5+d^6 x^6} \, dx\) [161]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{c^7+7 c^6 d x+21 c^5 d^2 x^2+35 c^4 d^3 x^3+35 c^3 d^4 x^4+21 c^2 d^5 x^5+7 c d^6 x^6+d^7 x^7} \, dx\) [162]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{c^8+8 c^7 d x+28 c^6 d^2 x^2+56 c^5 d^3 x^3+70 c^4 d^4 x^4+56 c^3 d^5 x^5+28 c^2 d^6 x^6+8 c d^7 x^7+d^8 x^8} \, dx\) [163]
\(\int \genfrac {}{}{}{}{a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4}{c^9+9 c^8 d x+36 c^7 d^2 x^2+84 c^6 d^3 x^3+126 c^5 d^4 x^4+126 c^4 d^5 x^5+84 c^3 d^6 x^6+36 c^2 d^7 x^7+9 c d^8 x^8+d^9 x^9} \, dx\) [164]
\(\int (\genfrac {}{}{}{}{1}{2} (3-\sqrt {37})+x) (\genfrac {}{}{}{}{1}{2} (3+\sqrt {37})+x) \, dx\) [165]
\(\int \genfrac {}{}{}{}{(a+b x)^5}{c+d x} \, dx\) [166]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{c+d x} \, dx\) [167]
\(\int \genfrac {}{}{}{}{(a+b x)^3}{c+d x} \, dx\) [168]
\(\int \genfrac {}{}{}{}{(a+b x)^2}{c+d x} \, dx\) [169]
\(\int \genfrac {}{}{}{}{a+b x}{c+d x} \, dx\) [170]
\(\int \genfrac {}{}{}{}{1}{c+d x} \, dx\) [171]
\(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x)} \, dx\) [172]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^2 (c+d x)} \, dx\) [173]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^3 (c+d x)} \, dx\) [174]
\(\int \genfrac {}{}{}{}{(a+b x)^5}{(c+d x)^2} \, dx\) [175]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^2} \, dx\) [176]
\(\int \genfrac {}{}{}{}{(a+b x)^3}{(c+d x)^2} \, dx\) [177]
\(\int \genfrac {}{}{}{}{(a+b x)^2}{(c+d x)^2} \, dx\) [178]
\(\int \genfrac {}{}{}{}{a+b x}{(c+d x)^2} \, dx\) [179]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2} \, dx\) [180]
\(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x)^2} \, dx\) [181]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^2 (c+d x)^2} \, dx\) [182]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^3 (c+d x)^2} \, dx\) [183]
\(\int \genfrac {}{}{}{}{(a+b x)^6}{(c+d x)^3} \, dx\) [184]
\(\int \genfrac {}{}{}{}{(a+b x)^5}{(c+d x)^3} \, dx\) [185]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^3} \, dx\) [186]
\(\int \genfrac {}{}{}{}{(a+b x)^3}{(c+d x)^3} \, dx\) [187]
\(\int \genfrac {}{}{}{}{(a+b x)^2}{(c+d x)^3} \, dx\) [188]
\(\int \genfrac {}{}{}{}{a+b x}{(c+d x)^3} \, dx\) [189]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^3} \, dx\) [190]
\(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x)^3} \, dx\) [191]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^2 (c+d x)^3} \, dx\) [192]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^3 (c+d x)^3} \, dx\) [193]
\(\int \genfrac {}{}{}{}{(a+b x)^9}{(c+d x)^8} \, dx\) [194]
\(\int \genfrac {}{}{}{}{(a+b x)^8}{(c+d x)^8} \, dx\) [195]
\(\int \genfrac {}{}{}{}{(a+b x)^7}{(c+d x)^8} \, dx\) [196]
\(\int \genfrac {}{}{}{}{(a+b x)^6}{(c+d x)^8} \, dx\) [197]
\(\int \genfrac {}{}{}{}{(a+b x)^5}{(c+d x)^8} \, dx\) [198]
\(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^8} \, dx\) [199]
\(\int \genfrac {}{}{}{}{(a+b x)^3}{(c+d x)^8} \, dx\) [200]