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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]
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