3.31 Integrals 3001 to 3100

  3.31.1 \(\int \sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)^2 \, dx\) [3001]
  3.31.2 \(\int \sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x) \, dx\) [3002]
  3.31.3 \(\int \sqrt [3]{a+b x} (c+d x)^{2/3} \, dx\) [3003]
  3.31.4 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{e+f x} \, dx\) [3004]
  3.31.5 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{(e+f x)^2} \, dx\) [3005]
  3.31.6 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{(e+f x)^3} \, dx\) [3006]
  3.31.7 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{(e+f x)^4} \, dx\) [3007]
  3.31.8 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (e+f x)^2}{\sqrt [3]{c+d x}} \, dx\) [3008]
  3.31.9 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (e+f x)}{\sqrt [3]{c+d x}} \, dx\) [3009]
  3.31.10 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x}} \, dx\) [3010]
  3.31.11 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)} \, dx\) [3011]
  3.31.12 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)^2} \, dx\) [3012]
  3.31.13 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)^3} \, dx\) [3013]
  3.31.14 \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)^4} \, dx\) [3014]
  3.31.15 \(\int \genfrac {}{}{}{}{(e+f x)^3}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [3015]
  3.31.16 \(\int \genfrac {}{}{}{}{(e+f x)^2}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [3016]
  3.31.17 \(\int \genfrac {}{}{}{}{e+f x}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [3017]
  3.31.18 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [3018]
  3.31.19 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)} \, dx\) [3019]
  3.31.20 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)^2} \, dx\) [3020]
  3.31.21 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)^3} \, dx\) [3021]
  3.31.22 \(\int \genfrac {}{}{}{}{(a+b x)^3}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3022]
  3.31.23 \(\int \genfrac {}{}{}{}{(a+b x)^2}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3023]
  3.31.24 \(\int \genfrac {}{}{}{}{a+b x}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3024]
  3.31.25 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3025]
  3.31.26 \(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3026]
  3.31.27 \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 \sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3027]
  3.31.28 \(\int \genfrac {}{}{}{}{1}{(a+b x)^3 \sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3028]
  3.31.29 \(\int \genfrac {}{}{}{}{(a+b x)^3}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3029]
  3.31.30 \(\int \genfrac {}{}{}{}{(a+b x)^2}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3030]
  3.31.31 \(\int \genfrac {}{}{}{}{a+b x}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3031]
  3.31.32 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3032]
  3.31.33 \(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3033]
  3.31.34 \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 \sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3034]
  3.31.35 \(\int \genfrac {}{}{}{}{1}{(a+b x)^3 \sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3035]
  3.31.36 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{d-3 e x} (d+e x) \sqrt [3]{d+3 e x}} \, dx\) [3036]
  3.31.37 \(\int \genfrac {}{}{}{}{(a+b x)^{4/3} (e+f x)^2}{(c+d x)^{4/3}} \, dx\) [3037]
  3.31.38 \(\int \genfrac {}{}{}{}{(a+b x)^{4/3} (e+f x)}{(c+d x)^{4/3}} \, dx\) [3038]
  3.31.39 \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3}} \, dx\) [3039]
  3.31.40 \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)} \, dx\) [3040]
  3.31.41 \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^2} \, dx\) [3041]
  3.31.42 \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^3} \, dx\) [3042]
  3.31.43 \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^4} \, dx\) [3043]
  3.31.44 \(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt {c+d x} \sqrt [4]{e+f x}} \, dx\) [3044]
  3.31.45 \(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt {c+d x} (e+f x)^{3/4}} \, dx\) [3045]
  3.31.46 \(\int (a+b x)^p (A+B x) (d+e x)^{-2-p} \, dx\) [3046]
  3.31.47 \(\int (a+b x) (c+d x)^n (e+f x)^{-n} \, dx\) [3047]
  3.31.48 \(\int (a+b x) (c+d x)^{-1+n} (e+f x)^{-n} \, dx\) [3048]
  3.31.49 \(\int (a+b x) (c+d x)^{-2+n} (e+f x)^{-n} \, dx\) [3049]
  3.31.50 \(\int (a+b x) (c+d x)^{-3+n} (e+f x)^{-n} \, dx\) [3050]
  3.31.51 \(\int (a+b x) (c+d x)^{-4+n} (e+f x)^{-n} \, dx\) [3051]
  3.31.52 \(\int (a+b x) (c+d x)^{-5+n} (e+f x)^{-n} \, dx\) [3052]
  3.31.53 \(\int (a+b x)^{-n} (c+d x) (e+f x)^n \, dx\) [3053]
  3.31.54 \(\int (a+b x)^{-n} (c+d x) (e+f x)^{-1+n} \, dx\) [3054]
  3.31.55 \(\int (a+b x)^{-n} (c+d x) (e+f x)^{-2+n} \, dx\) [3055]
  3.31.56 \(\int (a+b x)^{-n} (c+d x) (e+f x)^{-3+n} \, dx\) [3056]
  3.31.57 \(\int (a+b x)^{-n} (c+d x) (e+f x)^{-4+n} \, dx\) [3057]
  3.31.58 \(\int (a+b x)^{-n} (c+d x) (e+f x)^{-5+n} \, dx\) [3058]
  3.31.59 \(\int (a+b x)^m (c+d x)^{-m} (e+f x)^p \, dx\) [3059]
  3.31.60 \(\int (5-4 x)^4 (1+2 x)^{-m} (2+3 x)^m \, dx\) [3060]
  3.31.61 \(\int (a+b x)^m (c+d x)^{-m} (e+f x)^3 \, dx\) [3061]
  3.31.62 \(\int (a+b x)^m (c+d x)^{-m} (e+f x)^2 \, dx\) [3062]
  3.31.63 \(\int (a+b x)^m (c+d x)^{-m} (e+f x) \, dx\) [3063]
  3.31.64 \(\int (a+b x)^m (c+d x)^{-m} \, dx\) [3064]
  3.31.65 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-m}}{e+f x} \, dx\) [3065]
  3.31.66 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-m}}{(e+f x)^2} \, dx\) [3066]
  3.31.67 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-m}}{(e+f x)^3} \, dx\) [3067]
  3.31.68 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-m}}{(e+f x)^4} \, dx\) [3068]
  3.31.69 \(\int \genfrac {}{}{}{}{(1+2 x)^{-m} (2+3 x)^m}{(5-4 x)^5} \, dx\) [3069]
  3.31.70 \(\int (a+b x)^m (c+d x)^{-1-m} (e+f x)^p \, dx\) [3070]
  3.31.71 \(\int (5-4 x)^3 (1+2 x)^{-1-m} (2+3 x)^m \, dx\) [3071]
  3.31.72 \(\int (5-4 x)^2 (1+2 x)^{-1-m} (2+3 x)^m \, dx\) [3072]
  3.31.73 \(\int (a+b x)^m (c+d x)^{-1-m} (e+f x) \, dx\) [3073]
  3.31.74 \(\int (a+b x)^m (c+d x)^{-1-m} \, dx\) [3074]
  3.31.75 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-1-m}}{e+f x} \, dx\) [3075]
  3.31.76 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-1-m}}{(e+f x)^2} \, dx\) [3076]
  3.31.77 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-1-m}}{(e+f x)^3} \, dx\) [3077]
  3.31.78 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-1-m}}{(e+f x)^4} \, dx\) [3078]
  3.31.79 \(\int (a+b x)^m (c+d x)^{-2-m} (e+f x)^p \, dx\) [3079]
  3.31.80 \(\int (5-4 x)^3 (1+2 x)^{-2-m} (2+3 x)^m \, dx\) [3080]
  3.31.81 \(\int (a+b x)^m (c+d x)^{-2-m} (e+f x)^2 \, dx\) [3081]
  3.31.82 \(\int (a+b x)^m (c+d x)^{-2-m} (e+f x) \, dx\) [3082]
  3.31.83 \(\int (a+b x)^m (c+d x)^{-2-m} \, dx\) [3083]
  3.31.84 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-2-m}}{e+f x} \, dx\) [3084]
  3.31.85 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-2-m}}{(e+f x)^2} \, dx\) [3085]
  3.31.86 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-2-m}}{(e+f x)^3} \, dx\) [3086]
  3.31.87 \(\int (a+b x)^m (c+d x)^{-3-m} (e+f x)^p \, dx\) [3087]
  3.31.88 \(\int (5-4 x)^4 (1+2 x)^{-3-m} (2+3 x)^m \, dx\) [3088]
  3.31.89 \(\int (5-4 x)^3 (1+2 x)^{-3-m} (2+3 x)^m \, dx\) [3089]
  3.31.90 \(\int (a+b x)^m (c+d x)^{-3-m} (e+f x)^2 \, dx\) [3090]
  3.31.91 \(\int (a+b x)^m (c+d x)^{-3-m} (e+f x) \, dx\) [3091]
  3.31.92 \(\int (a+b x)^m (c+d x)^{-3-m} \, dx\) [3092]
  3.31.93 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-3-m}}{e+f x} \, dx\) [3093]
  3.31.94 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-3-m}}{(e+f x)^2} \, dx\) [3094]
  3.31.95 \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x)^p \, dx\) [3095]
  3.31.96 \(\int (5-4 x)^4 (1+2 x)^{-4-m} (2+3 x)^m \, dx\) [3096]
  3.31.97 \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x)^3 \, dx\) [3097]
  3.31.98 \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x)^2 \, dx\) [3098]
  3.31.99 \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x) \, dx\) [3099]
  3.31.100 \(\int (a+b x)^m (c+d x)^{-4-m} \, dx\) [3100]