3.32.1 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-4-m}}{e+f x} \, dx\) [3101]
3.32.2 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-4-m}}{(e+f x)^2} \, dx\) [3102]
3.32.3 \(\int (a+b x)^m (c+d x)^{-5-m} (e+f x)^p \, dx\) [3103]
3.32.4 \(\int (5-4 x)^5 (1+2 x)^{-5-m} (2+3 x)^m \, dx\) [3104]
3.32.5 \(\int (a+b x)^m (c+d x)^{-5-m} (e+f x)^4 \, dx\) [3105]
3.32.6 \(\int (a+b x)^m (c+d x)^{-5-m} (e+f x)^3 \, dx\) [3106]
3.32.7 \(\int (a+b x)^m (c+d x)^{-5-m} (e+f x)^2 \, dx\) [3107]
3.32.8 \(\int (a+b x)^m (c+d x)^{-5-m} (e+f x) \, dx\) [3108]
3.32.9 \(\int (a+b x)^m (c+d x)^{-5-m} \, dx\) [3109]
3.32.10 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-5-m}}{e+f x} \, dx\) [3110]
3.32.11 \(\int (a+b x)^m (c+d x)^{1-m} (e+f x)^p \, dx\) [3111]
3.32.12 \(\int (a+b x)^m (c+d x)^{1-m} (e+f x)^3 \, dx\) [3112]
3.32.13 \(\int (a+b x)^m (c+d x)^{1-m} (e+f x)^2 \, dx\) [3113]
3.32.14 \(\int (a+b x)^m (c+d x)^{1-m} (e+f x) \, dx\) [3114]
3.32.15 \(\int (a+b x)^m (c+d x)^{1-m} \, dx\) [3115]
3.32.16 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{1-m}}{e+f x} \, dx\) [3116]
3.32.17 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{1-m}}{(e+f x)^2} \, dx\) [3117]
3.32.18 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{1-m}}{(e+f x)^3} \, dx\) [3118]
3.32.19 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{1-m}}{(e+f x)^4} \, dx\) [3119]
3.32.20 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{1-m}}{(e+f x)^5} \, dx\) [3120]
3.32.21 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{1-m}}{(e+f x)^6} \, dx\) [3121]
3.32.22 \(\int (a+b x)^m (c+d x)^{2-m} (e+f x)^p \, dx\) [3122]
3.32.23 \(\int (a+b x)^m (c+d x)^{2-m} (e+f x)^3 \, dx\) [3123]
3.32.24 \(\int (a+b x)^m (c+d x)^{2-m} (e+f x)^2 \, dx\) [3124]
3.32.25 \(\int (a+b x)^m (c+d x)^{2-m} (e+f x) \, dx\) [3125]
3.32.26 \(\int (a+b x)^m (c+d x)^{2-m} \, dx\) [3126]
3.32.27 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{e+f x} \, dx\) [3127]
3.32.28 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^2} \, dx\) [3128]
3.32.29 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^3} \, dx\) [3129]
3.32.30 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^4} \, dx\) [3130]
3.32.31 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^5} \, dx\) [3131]
3.32.32 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^6} \, dx\) [3132]
3.32.33 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^7} \, dx\) [3133]
3.32.34 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{3-m}}{e+f x} \, dx\) [3134]
3.32.35 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{3-m}}{(e+f x)^2} \, dx\) [3135]
3.32.36 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{3-m}}{(e+f x)^3} \, dx\) [3136]
3.32.37 \(\int \genfrac {}{}{}{}{(a+b x)^{1-n} (c+d x)^{1+n}}{b c+a d+2 b d x} \, dx\) [3137]
3.32.38 \(\int \genfrac {}{}{}{}{(a+b x)^{1-n} (c+d x)^{1+n}}{(b c+a d+2 b d x)^2} \, dx\) [3138]
3.32.39 \(\int \genfrac {}{}{}{}{(a+b x)^{1-n} (c+d x)^{1+n}}{(b c+a d+2 b d x)^3} \, dx\) [3139]
3.32.40 \(\int \genfrac {}{}{}{}{(a+b x)^{1-n} (c+d x)^{1+n}}{(b c+a d+2 b d x)^4} \, dx\) [3140]
3.32.41 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{b c+a d+2 b d x} \, dx\) [3141]
3.32.42 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{(b c+a d+2 b d x)^2} \, dx\) [3142]
3.32.43 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{(b c+a d+2 b d x)^3} \, dx\) [3143]
3.32.44 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{2-m}}{(b c+a d+2 b d x)^4} \, dx\) [3144]
3.32.45 \(\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{n+p} \, dx\) [3145]
3.32.46 \(\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{1+n} \, dx\) [3146]
3.32.47 \(\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^n \, dx\) [3147]
3.32.48 \(\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{-1+n} \, dx\) [3148]
3.32.49 \(\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{-2+n} \, dx\) [3149]
3.32.50 \(\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{-3+n} \, dx\) [3150]
3.32.51 \(\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{-4+n} \, dx\) [3151]
3.32.52 \(\int (a+b x)^m (c+d x)^n (\genfrac {}{}{}{}{b c f+a d f+a d f m+b c f n}{b d (2+m+n)}+f x)^{-3-m-n} \, dx\) [3152]
3.32.53 \(\int (a+b x)^m (c+d x)^{-1-\genfrac {}{}{}{}{d (b e-a f) (1+m)}{b (d e-c f)}} (e+f x)^{-1+\genfrac {}{}{}{}{(b c-a d) f (1+m)}{b (d e-c f)}} \, dx\) [3153]
3.32.54 \(\int (a+b x)^m (c+d x)^n (e+f x)^{-m-n} \, dx\) [3154]
3.32.55 \(\int (a+b x)^m (c+d x)^n (e+f x)^{-1-m-n} \, dx\) [3155]
3.32.56 \(\int (a+b x)^m (c+d x)^n (e+f x)^{-2-m-n} \, dx\) [3156]
3.32.57 \(\int (a+b x)^m (c+d x)^n (e+f x)^{-3-m-n} \, dx\) [3157]
3.32.58 \(\int (a+b x)^m (c+d x)^n (e+f x)^{-4-m-n} \, dx\) [3158]
3.32.59 \(\int (a+b x)^m (c+d x)^n (e+f x)^p \, dx\) [3159]
3.32.60 \(\int (a+b x)^m (c+d x)^n (e+f x)^2 \, dx\) [3160]
3.32.61 \(\int (a+b x)^m (c+d x)^n (e+f x) \, dx\) [3161]
3.32.62 \(\int (a+b x)^m (c+d x)^n \, dx\) [3162]
3.32.63 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^n}{e+f x} \, dx\) [3163]
3.32.64 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^n}{(e+f x)^2} \, dx\) [3164]
3.32.65 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^n}{(e+f x)^3} \, dx\) [3165]
3.32.66 \(\int \genfrac {}{}{}{}{(3+4 x)^n}{\sqrt {1-x} \sqrt {1+x}} \, dx\) [3166]
3.32.67 \(\int \genfrac {}{}{}{}{(3-4 x)^n}{\sqrt {1-x} \sqrt {1+x}} \, dx\) [3167]
3.32.68 \(\int \genfrac {}{}{}{}{(-3+4 x)^n}{\sqrt {1-x} \sqrt {1+x}} \, dx\) [3168]
3.32.69 \(\int \genfrac {}{}{}{}{(-3-4 x)^n}{\sqrt {1-x} \sqrt {1+x}} \, dx\) [3169]
3.32.70 \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{\sqrt {c+d x} (e+f x)} \, dx\) [3170]
3.32.71 \(\int \genfrac {}{}{}{}{(c+d x)^{2/5} (e+f x)^{3/5}}{\sqrt {a+b x}} \, dx\) [3171]
3.32.72 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} (e+f x)^n}{\sqrt {c+d x}} \, dx\) [3172]
3.32.73 \(\int \genfrac {}{}{}{}{\sqrt {c+d x} (e+f x)^n}{\sqrt {a+b x}} \, dx\) [3173]
3.32.74 \(\int \genfrac {}{}{}{}{(e+f x)^n}{\sqrt {a+b x} (c+d x)^{3/2}} \, dx\) [3174]
3.32.75 \(\int \genfrac {}{}{}{}{(e+f x)^n}{(a+b x)^{3/2} \sqrt {c+d x}} \, dx\) [3175]
3.32.76 \(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt [3]{c+d x}}{e+f x} \, dx\) [3176]
3.32.77 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} \sqrt {c+d x}}{e+f x} \, dx\) [3177]
3.32.78 \(\int \sqrt {a+b x} \sqrt [3]{c+d x} \sqrt [4]{e+f x} \, dx\) [3178]
3.32.79 \(\int \sqrt [3]{a+b x} \sqrt {c+d x} \sqrt [4]{e+f x} \, dx\) [3179]
3.32.80 \(\int (a+b x)^4 (A+B x) (d+e x)^m \, dx\) [3180]
3.32.81 \(\int (a+b x)^3 (A+B x) (d+e x)^m \, dx\) [3181]
3.32.82 \(\int (a+b x)^2 (A+B x) (d+e x)^m \, dx\) [3182]
3.32.83 \(\int (a+b x) (A+B x) (d+e x)^m \, dx\) [3183]
3.32.84 \(\int (A+B x) (d+e x)^m \, dx\) [3184]
3.32.85 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^m}{a+b x} \, dx\) [3185]
3.32.86 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^m}{(a+b x)^2} \, dx\) [3186]
3.32.87 \(\int (1-2 x) (2+3 x)^m (3+5 x)^3 \, dx\) [3187]
3.32.88 \(\int (1-2 x) (2+3 x)^m (3+5 x)^2 \, dx\) [3188]
3.32.89 \(\int (1-2 x) (2+3 x)^m (3+5 x) \, dx\) [3189]
3.32.90 \(\int \genfrac {}{}{}{}{(1-2 x) (2+3 x)^m}{3+5 x} \, dx\) [3190]
3.32.91 \(\int \genfrac {}{}{}{}{(1-2 x) (2+3 x)^m}{(3+5 x)^2} \, dx\) [3191]
3.32.92 \(\int \genfrac {}{}{}{}{(1-2 x) (2+3 x)^m}{(3+5 x)^3} \, dx\) [3192]
3.32.93 \(\int \genfrac {}{}{}{}{(2+3 x)^m (3+5 x)^3}{1-2 x} \, dx\) [3193]
3.32.94 \(\int \genfrac {}{}{}{}{(2+3 x)^m (3+5 x)^2}{1-2 x} \, dx\) [3194]
3.32.95 \(\int \genfrac {}{}{}{}{(2+3 x)^m (3+5 x)}{1-2 x} \, dx\) [3195]
3.32.96 \(\int \genfrac {}{}{}{}{(2+3 x)^m}{(1-2 x) (3+5 x)} \, dx\) [3196]
3.32.97 \(\int \genfrac {}{}{}{}{(2+3 x)^m}{(1-2 x) (3+5 x)^2} \, dx\) [3197]
3.32.98 \(\int \genfrac {}{}{}{}{(2+3 x)^m}{(1-2 x) (3+5 x)^3} \, dx\) [3198]
3.32.99 \(\int \genfrac {}{}{}{}{(a+b x)^m}{(e+f x)^2} \, dx\) [3199]
3.32.100 \(\int \genfrac {}{}{}{}{(a+b x)^m}{(c+d x) (e+f x)^2} \, dx\) [3200]