3.31 Integrals 3001 to 3100

   \(\int \sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)^2 \, dx\) [3001]
   \(\int \sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x) \, dx\) [3002]
   \(\int \sqrt [3]{a+b x} (c+d x)^{2/3} \, dx\) [3003]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{e+f x} \, dx\) [3004]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{(e+f x)^2} \, dx\) [3005]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{(e+f x)^3} \, dx\) [3006]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{(e+f x)^4} \, dx\) [3007]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (e+f x)^2}{\sqrt [3]{c+d x}} \, dx\) [3008]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (e+f x)}{\sqrt [3]{c+d x}} \, dx\) [3009]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x}} \, dx\) [3010]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)} \, dx\) [3011]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)^2} \, dx\) [3012]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)^3} \, dx\) [3013]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)^4} \, dx\) [3014]
   \(\int \genfrac {}{}{}{}{(e+f x)^3}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [3015]
   \(\int \genfrac {}{}{}{}{(e+f x)^2}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [3016]
   \(\int \genfrac {}{}{}{}{e+f x}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [3017]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [3018]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)} \, dx\) [3019]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)^2} \, dx\) [3020]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)^3} \, dx\) [3021]
   \(\int \genfrac {}{}{}{}{(a+b x)^3}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3022]
   \(\int \genfrac {}{}{}{}{(a+b x)^2}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3023]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3024]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3025]
   \(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3026]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 \sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3027]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^3 \sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [3028]
   \(\int \genfrac {}{}{}{}{(a+b x)^3}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3029]
   \(\int \genfrac {}{}{}{}{(a+b x)^2}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3030]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3031]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3032]
   \(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3033]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 \sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3034]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^3 \sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [3035]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{d-3 e x} (d+e x) \sqrt [3]{d+3 e x}} \, dx\) [3036]
   \(\int \genfrac {}{}{}{}{(a+b x)^{4/3} (e+f x)^2}{(c+d x)^{4/3}} \, dx\) [3037]
   \(\int \genfrac {}{}{}{}{(a+b x)^{4/3} (e+f x)}{(c+d x)^{4/3}} \, dx\) [3038]
   \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3}} \, dx\) [3039]
   \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)} \, dx\) [3040]
   \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^2} \, dx\) [3041]
   \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^3} \, dx\) [3042]
   \(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^4} \, dx\) [3043]
   \(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt {c+d x} \sqrt [4]{e+f x}} \, dx\) [3044]
   \(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt {c+d x} (e+f x)^{3/4}} \, dx\) [3045]
   \(\int (a+b x)^p (A+B x) (d+e x)^{-2-p} \, dx\) [3046]
   \(\int (a+b x) (c+d x)^n (e+f x)^{-n} \, dx\) [3047]
   \(\int (a+b x) (c+d x)^{-1+n} (e+f x)^{-n} \, dx\) [3048]
   \(\int (a+b x) (c+d x)^{-2+n} (e+f x)^{-n} \, dx\) [3049]
   \(\int (a+b x) (c+d x)^{-3+n} (e+f x)^{-n} \, dx\) [3050]
   \(\int (a+b x) (c+d x)^{-4+n} (e+f x)^{-n} \, dx\) [3051]
   \(\int (a+b x) (c+d x)^{-5+n} (e+f x)^{-n} \, dx\) [3052]
   \(\int (a+b x)^{-n} (c+d x) (e+f x)^n \, dx\) [3053]
   \(\int (a+b x)^{-n} (c+d x) (e+f x)^{-1+n} \, dx\) [3054]
   \(\int (a+b x)^{-n} (c+d x) (e+f x)^{-2+n} \, dx\) [3055]
   \(\int (a+b x)^{-n} (c+d x) (e+f x)^{-3+n} \, dx\) [3056]
   \(\int (a+b x)^{-n} (c+d x) (e+f x)^{-4+n} \, dx\) [3057]
   \(\int (a+b x)^{-n} (c+d x) (e+f x)^{-5+n} \, dx\) [3058]
   \(\int (a+b x)^m (c+d x)^{-m} (e+f x)^p \, dx\) [3059]
   \(\int (5-4 x)^4 (1+2 x)^{-m} (2+3 x)^m \, dx\) [3060]
   \(\int (a+b x)^m (c+d x)^{-m} (e+f x)^3 \, dx\) [3061]
   \(\int (a+b x)^m (c+d x)^{-m} (e+f x)^2 \, dx\) [3062]
   \(\int (a+b x)^m (c+d x)^{-m} (e+f x) \, dx\) [3063]
   \(\int (a+b x)^m (c+d x)^{-m} \, dx\) [3064]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-m}}{e+f x} \, dx\) [3065]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-m}}{(e+f x)^2} \, dx\) [3066]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-m}}{(e+f x)^3} \, dx\) [3067]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-m}}{(e+f x)^4} \, dx\) [3068]
   \(\int \genfrac {}{}{}{}{(1+2 x)^{-m} (2+3 x)^m}{(5-4 x)^5} \, dx\) [3069]
   \(\int (a+b x)^m (c+d x)^{-1-m} (e+f x)^p \, dx\) [3070]
   \(\int (5-4 x)^3 (1+2 x)^{-1-m} (2+3 x)^m \, dx\) [3071]
   \(\int (5-4 x)^2 (1+2 x)^{-1-m} (2+3 x)^m \, dx\) [3072]
   \(\int (a+b x)^m (c+d x)^{-1-m} (e+f x) \, dx\) [3073]
   \(\int (a+b x)^m (c+d x)^{-1-m} \, dx\) [3074]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-1-m}}{e+f x} \, dx\) [3075]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-1-m}}{(e+f x)^2} \, dx\) [3076]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-1-m}}{(e+f x)^3} \, dx\) [3077]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-1-m}}{(e+f x)^4} \, dx\) [3078]
   \(\int (a+b x)^m (c+d x)^{-2-m} (e+f x)^p \, dx\) [3079]
   \(\int (5-4 x)^3 (1+2 x)^{-2-m} (2+3 x)^m \, dx\) [3080]
   \(\int (a+b x)^m (c+d x)^{-2-m} (e+f x)^2 \, dx\) [3081]
   \(\int (a+b x)^m (c+d x)^{-2-m} (e+f x) \, dx\) [3082]
   \(\int (a+b x)^m (c+d x)^{-2-m} \, dx\) [3083]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-2-m}}{e+f x} \, dx\) [3084]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-2-m}}{(e+f x)^2} \, dx\) [3085]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-2-m}}{(e+f x)^3} \, dx\) [3086]
   \(\int (a+b x)^m (c+d x)^{-3-m} (e+f x)^p \, dx\) [3087]
   \(\int (5-4 x)^4 (1+2 x)^{-3-m} (2+3 x)^m \, dx\) [3088]
   \(\int (5-4 x)^3 (1+2 x)^{-3-m} (2+3 x)^m \, dx\) [3089]
   \(\int (a+b x)^m (c+d x)^{-3-m} (e+f x)^2 \, dx\) [3090]
   \(\int (a+b x)^m (c+d x)^{-3-m} (e+f x) \, dx\) [3091]
   \(\int (a+b x)^m (c+d x)^{-3-m} \, dx\) [3092]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-3-m}}{e+f x} \, dx\) [3093]
   \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-3-m}}{(e+f x)^2} \, dx\) [3094]
   \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x)^p \, dx\) [3095]
   \(\int (5-4 x)^4 (1+2 x)^{-4-m} (2+3 x)^m \, dx\) [3096]
   \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x)^3 \, dx\) [3097]
   \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x)^2 \, dx\) [3098]
   \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x) \, dx\) [3099]
   \(\int (a+b x)^m (c+d x)^{-4-m} \, dx\) [3100]