3.30.1 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^4 (a+b (c+d x)^3)^2} \, dx\) [2901]
3.30.2 \(\int \genfrac {}{}{}{}{(c e+d e x)^4}{(a+b (c+d x)^3)^3} \, dx\) [2902]
3.30.3 \(\int \genfrac {}{}{}{}{(c e+d e x)^3}{(a+b (c+d x)^3)^3} \, dx\) [2903]
3.30.4 \(\int \genfrac {}{}{}{}{(c e+d e x)^2}{(a+b (c+d x)^3)^3} \, dx\) [2904]
3.30.5 \(\int \genfrac {}{}{}{}{c e+d e x}{(a+b (c+d x)^3)^3} \, dx\) [2905]
3.30.6 \(\int \genfrac {}{}{}{}{1}{(c e+d e x) (a+b (c+d x)^3)^3} \, dx\) [2906]
3.30.7 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^2 (a+b (c+d x)^3)^3} \, dx\) [2907]
3.30.8 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^3 (a+b (c+d x)^3)^3} \, dx\) [2908]
3.30.9 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^4 (a+b (c+d x)^3)^3} \, dx\) [2909]
3.30.10 \(\int (c+d x)^3 (a+b (c+d x)^4)^p \, dx\) [2910]
3.30.11 \(\int (c+d x)^3 (a+b (c+d x)^4) \, dx\) [2911]
3.30.12 \(\int (c+d x)^3 (a+b (c+d x)^4)^2 \, dx\) [2912]
3.30.13 \(\int (c+d x)^3 (a+b (c+d x)^4)^3 \, dx\) [2913]
3.30.14 \(\int \genfrac {}{}{}{}{(c+d x)^3}{a+b (c+d x)^4} \, dx\) [2914]
3.30.15 \(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+b (c+d x)^4)^2} \, dx\) [2915]
3.30.16 \(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+b (c+d x)^4)^3} \, dx\) [2916]
3.30.17 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b (c+d x)^4}} \, dx\) [2917]
3.30.18 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+b (c+d x)^4}} \, dx\) [2918]
3.30.19 \(\int (d x)^m \sqrt {a+b (c x)^{3/2}} \, dx\) [2919]
3.30.20 \(\int (d x)^m \sqrt {a+b \sqrt {c x}} \, dx\) [2920]
3.30.21 \(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{\sqrt {c x}}} \, dx\) [2921]
3.30.22 \(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{(c x)^{3/2}}} \, dx\) [2922]
3.30.23 \(\int (d x)^m (a+b (c x)^n)^p \, dx\) [2923]
3.30.24 \(\int x^2 (a+b (c x)^n)^p \, dx\) [2924]
3.30.25 \(\int x (a+b (c x)^n)^p \, dx\) [2925]
3.30.26 \(\int (a+b (c x)^n)^p \, dx\) [2926]
3.30.27 \(\int \genfrac {}{}{}{}{(a+b (c x)^n)^p}{x} \, dx\) [2927]
3.30.28 \(\int \genfrac {}{}{}{}{(a+b (c x)^n)^p}{x^2} \, dx\) [2928]
3.30.29 \(\int \genfrac {}{}{}{}{1}{1+(x^2)^{3/2}} \, dx\) [2929]
3.30.30 \(\int x^5 \sqrt {a+b \sqrt {c x^2}} \, dx\) [2930]
3.30.31 \(\int x^3 \sqrt {a+b \sqrt {c x^2}} \, dx\) [2931]
3.30.32 \(\int x \sqrt {a+b \sqrt {c x^2}} \, dx\) [2932]
3.30.33 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x} \, dx\) [2933]
3.30.34 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x^3} \, dx\) [2934]
3.30.35 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x^5} \, dx\) [2935]
3.30.36 \(\int x^4 \sqrt {a+b \sqrt {c x^2}} \, dx\) [2936]
3.30.37 \(\int x^2 \sqrt {a+b \sqrt {c x^2}} \, dx\) [2937]
3.30.38 \(\int \sqrt {a+b \sqrt {c x^2}} \, dx\) [2938]
3.30.39 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x^2} \, dx\) [2939]
3.30.40 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x^4} \, dx\) [2940]
3.30.41 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^2}}}{x^6} \, dx\) [2941]
3.30.42 \(\int x^8 \sqrt {a+b (c x^2)^{3/2}} \, dx\) [2942]
3.30.43 \(\int x^5 \sqrt {a+b (c x^2)^{3/2}} \, dx\) [2943]
3.30.44 \(\int x^2 \sqrt {a+b (c x^2)^{3/2}} \, dx\) [2944]
3.30.45 \(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x} \, dx\) [2945]
3.30.46 \(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x^4} \, dx\) [2946]
3.30.47 \(\int x^3 \sqrt {a+b (c x^2)^{3/2}} \, dx\) [2947]
3.30.48 \(\int \sqrt {a+b (c x^2)^{3/2}} \, dx\) [2948]
3.30.49 \(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x^3} \, dx\) [2949]
3.30.50 \(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x^6} \, dx\) [2950]
3.30.51 \(\int x^4 \sqrt {a+b (c x^2)^{3/2}} \, dx\) [2951]
3.30.52 \(\int x \sqrt {a+b (c x^2)^{3/2}} \, dx\) [2952]
3.30.53 \(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x^2} \, dx\) [2953]
3.30.54 \(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^2)^{3/2}}}{x^5} \, dx\) [2954]
3.30.55 \(\int (d x)^m \sqrt {a+b (c x^2)^{3/2}} \, dx\) [2955]
3.30.56 \(\int (d x)^m \sqrt {a+b \sqrt {c x^2}} \, dx\) [2956]
3.30.57 \(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{\sqrt {c x^2}}} \, dx\) [2957]
3.30.58 \(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{(c x^2)^{3/2}}} \, dx\) [2958]
3.30.59 \(\int \genfrac {}{}{}{}{1}{1+(x^3)^{2/3}} \, dx\) [2959]
3.30.60 \(\int x^5 \sqrt {a+b \sqrt {c x^3}} \, dx\) [2960]
3.30.61 \(\int x^2 \sqrt {a+b \sqrt {c x^3}} \, dx\) [2961]
3.30.62 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^3}}}{x} \, dx\) [2962]
3.30.63 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^3}}}{x^4} \, dx\) [2963]
3.30.64 \(\int x \sqrt {a+b \sqrt {c x^3}} \, dx\) [2964]
3.30.65 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^3}}}{x^2} \, dx\) [2965]
3.30.66 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^3}}}{x^5} \, dx\) [2966]
3.30.67 \(\int x^3 \sqrt {a+b \sqrt {c x^3}} \, dx\) [2967]
3.30.68 \(\int \sqrt {a+b \sqrt {c x^3}} \, dx\) [2968]
3.30.69 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {c x^3}}}{x^3} \, dx\) [2969]
3.30.70 \(\int x^{17} \sqrt {a+b (c x^3)^{3/2}} \, dx\) [2970]
3.30.71 \(\int x^8 \sqrt {a+b (c x^3)^{3/2}} \, dx\) [2971]
3.30.72 \(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^3)^{3/2}}}{x} \, dx\) [2972]
3.30.73 \(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^3)^{3/2}}}{x^{10}} \, dx\) [2973]
3.30.74 \(\int x^2 \sqrt {a+b (c x^3)^{3/2}} \, dx\) [2974]
3.30.75 \(\int x^9 \sqrt {a+b (c x^3)^{3/2}} \, dx\) [2975]
3.30.76 \(\int \sqrt {a+b (c x^3)^{3/2}} \, dx\) [2976]
3.30.77 \(\int \genfrac {}{}{}{}{\sqrt {a+b (c x^3)^{3/2}}}{x^9} \, dx\) [2977]
3.30.78 \(\int (d x)^m \sqrt {a+b (c x^3)^{3/2}} \, dx\) [2978]
3.30.79 \(\int (d x)^m \sqrt {a+b \sqrt {c x^3}} \, dx\) [2979]
3.30.80 \(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{\sqrt {c x^3}}} \, dx\) [2980]
3.30.81 \(\int (d x)^m \sqrt {a+\genfrac {}{}{}{}{b}{(c x^3)^{3/2}}} \, dx\) [2981]
3.30.82 \(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} x \, dx\) [2982]
3.30.83 \(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} \, dx\) [2983]
3.30.84 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}}{x} \, dx\) [2984]
3.30.85 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}}{x^2} \, dx\) [2985]
3.30.86 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}}{x^3} \, dx\) [2986]
3.30.87 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}}{x^4} \, dx\) [2987]
3.30.88 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}} \, dx\) [2988]
3.30.89 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}} \, dx\) [2989]
3.30.90 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} x} \, dx\) [2990]
3.30.91 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} x^2} \, dx\) [2991]
3.30.92 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} x^3} \, dx\) [2992]
3.30.93 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} x^4} \, dx\) [2993]
3.30.94 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\sqrt {\genfrac {}{}{}{}{1}{x}}}} \, dx\) [2994]
3.30.95 \(\int \sqrt {a+b (\genfrac {}{}{}{}{c}{x})^{3/2}} (d x)^m \, dx\) [2995]
3.30.96 \(\int \sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}} (d x)^m \, dx\) [2996]
3.30.97 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{\sqrt {\genfrac {}{}{}{}{c}{x}}}} (d x)^m \, dx\) [2997]
3.30.98 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{(\genfrac {}{}{}{}{c}{x})^{3/2}}} (d x)^m \, dx\) [2998]
3.30.99 \(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a+b (\genfrac {}{}{}{}{c}{x})^{3/2}}} \, dx\) [2999]
3.30.100 \(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a+b \sqrt {\genfrac {}{}{}{}{c}{x}}}} \, dx\) [3000]