3.28.1 \(\int (1-2 x)^{3/2} \sqrt {2+3 x} \sqrt {3+5 x} \, dx\) [2701]
3.28.2 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} \sqrt {3+5 x}}{\sqrt {2+3 x}} \, dx\) [2702]
3.28.3 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} \sqrt {3+5 x}}{(2+3 x)^{3/2}} \, dx\) [2703]
3.28.4 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} \sqrt {3+5 x}}{(2+3 x)^{5/2}} \, dx\) [2704]
3.28.5 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} \sqrt {3+5 x}}{(2+3 x)^{7/2}} \, dx\) [2705]
3.28.6 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} \sqrt {3+5 x}}{(2+3 x)^{9/2}} \, dx\) [2706]
3.28.7 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} \sqrt {3+5 x}}{(2+3 x)^{11/2}} \, dx\) [2707]
3.28.8 \(\int (1-2 x)^{3/2} (2+3 x)^{5/2} (3+5 x)^{3/2} \, dx\) [2708]
3.28.9 \(\int (1-2 x)^{3/2} (2+3 x)^{3/2} (3+5 x)^{3/2} \, dx\) [2709]
3.28.10 \(\int (1-2 x)^{3/2} \sqrt {2+3 x} (3+5 x)^{3/2} \, dx\) [2710]
3.28.11 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{3/2}}{\sqrt {2+3 x}} \, dx\) [2711]
3.28.12 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{3/2}} \, dx\) [2712]
3.28.13 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{5/2}} \, dx\) [2713]
3.28.14 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{7/2}} \, dx\) [2714]
3.28.15 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{9/2}} \, dx\) [2715]
3.28.16 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{11/2}} \, dx\) [2716]
3.28.17 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{13/2}} \, dx\) [2717]
3.28.18 \(\int (1-2 x)^{3/2} (2+3 x)^{5/2} (3+5 x)^{5/2} \, dx\) [2718]
3.28.19 \(\int (1-2 x)^{3/2} (2+3 x)^{3/2} (3+5 x)^{5/2} \, dx\) [2719]
3.28.20 \(\int (1-2 x)^{3/2} \sqrt {2+3 x} (3+5 x)^{5/2} \, dx\) [2720]
3.28.21 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{5/2}}{\sqrt {2+3 x}} \, dx\) [2721]
3.28.22 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{3/2}} \, dx\) [2722]
3.28.23 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{5/2}} \, dx\) [2723]
3.28.24 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{7/2}} \, dx\) [2724]
3.28.25 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{9/2}} \, dx\) [2725]
3.28.26 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{11/2}} \, dx\) [2726]
3.28.27 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{13/2}} \, dx\) [2727]
3.28.28 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{15/2}} \, dx\) [2728]
3.28.29 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (2+3 x)^{5/2}}{\sqrt {3+5 x}} \, dx\) [2729]
3.28.30 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (2+3 x)^{3/2}}{\sqrt {3+5 x}} \, dx\) [2730]
3.28.31 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} \sqrt {2+3 x}}{\sqrt {3+5 x}} \, dx\) [2731]
3.28.32 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{\sqrt {2+3 x} \sqrt {3+5 x}} \, dx\) [2732]
3.28.33 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{3/2} \sqrt {3+5 x}} \, dx\) [2733]
3.28.34 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{5/2} \sqrt {3+5 x}} \, dx\) [2734]
3.28.35 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{7/2} \sqrt {3+5 x}} \, dx\) [2735]
3.28.36 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{9/2} \sqrt {3+5 x}} \, dx\) [2736]
3.28.37 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (2+3 x)^{7/2}}{(3+5 x)^{3/2}} \, dx\) [2737]
3.28.38 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (2+3 x)^{5/2}}{(3+5 x)^{3/2}} \, dx\) [2738]
3.28.39 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (2+3 x)^{3/2}}{(3+5 x)^{3/2}} \, dx\) [2739]
3.28.40 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} \sqrt {2+3 x}}{(3+5 x)^{3/2}} \, dx\) [2740]
3.28.41 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{\sqrt {2+3 x} (3+5 x)^{3/2}} \, dx\) [2741]
3.28.42 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{3/2} (3+5 x)^{3/2}} \, dx\) [2742]
3.28.43 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{5/2} (3+5 x)^{3/2}} \, dx\) [2743]
3.28.44 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{7/2} (3+5 x)^{3/2}} \, dx\) [2744]
3.28.45 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{9/2} (3+5 x)^{3/2}} \, dx\) [2745]
3.28.46 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (2+3 x)^{7/2}}{(3+5 x)^{5/2}} \, dx\) [2746]
3.28.47 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (2+3 x)^{5/2}}{(3+5 x)^{5/2}} \, dx\) [2747]
3.28.48 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} (2+3 x)^{3/2}}{(3+5 x)^{5/2}} \, dx\) [2748]
3.28.49 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2} \sqrt {2+3 x}}{(3+5 x)^{5/2}} \, dx\) [2749]
3.28.50 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{\sqrt {2+3 x} (3+5 x)^{5/2}} \, dx\) [2750]
3.28.51 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{3/2} (3+5 x)^{5/2}} \, dx\) [2751]
3.28.52 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [2752]
3.28.53 \(\int \genfrac {}{}{}{}{(1-2 x)^{3/2}}{(2+3 x)^{7/2} (3+5 x)^{5/2}} \, dx\) [2753]
3.28.54 \(\int (1-2 x)^{5/2} (2+3 x)^{5/2} \sqrt {3+5 x} \, dx\) [2754]
3.28.55 \(\int (1-2 x)^{5/2} (2+3 x)^{3/2} \sqrt {3+5 x} \, dx\) [2755]
3.28.56 \(\int (1-2 x)^{5/2} \sqrt {2+3 x} \sqrt {3+5 x} \, dx\) [2756]
3.28.57 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} \sqrt {3+5 x}}{\sqrt {2+3 x}} \, dx\) [2757]
3.28.58 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} \sqrt {3+5 x}}{(2+3 x)^{3/2}} \, dx\) [2758]
3.28.59 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} \sqrt {3+5 x}}{(2+3 x)^{5/2}} \, dx\) [2759]
3.28.60 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} \sqrt {3+5 x}}{(2+3 x)^{7/2}} \, dx\) [2760]
3.28.61 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} \sqrt {3+5 x}}{(2+3 x)^{9/2}} \, dx\) [2761]
3.28.62 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} \sqrt {3+5 x}}{(2+3 x)^{11/2}} \, dx\) [2762]
3.28.63 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} \sqrt {3+5 x}}{(2+3 x)^{13/2}} \, dx\) [2763]
3.28.64 \(\int (1-2 x)^{5/2} (2+3 x)^{5/2} (3+5 x)^{3/2} \, dx\) [2764]
3.28.65 \(\int (1-2 x)^{5/2} (2+3 x)^{3/2} (3+5 x)^{3/2} \, dx\) [2765]
3.28.66 \(\int (1-2 x)^{5/2} \sqrt {2+3 x} (3+5 x)^{3/2} \, dx\) [2766]
3.28.67 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{3/2}}{\sqrt {2+3 x}} \, dx\) [2767]
3.28.68 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{3/2}} \, dx\) [2768]
3.28.69 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{5/2}} \, dx\) [2769]
3.28.70 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{7/2}} \, dx\) [2770]
3.28.71 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{9/2}} \, dx\) [2771]
3.28.72 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{11/2}} \, dx\) [2772]
3.28.73 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{13/2}} \, dx\) [2773]
3.28.74 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{15/2}} \, dx\) [2774]
3.28.75 \(\int (1-2 x)^{5/2} (2+3 x)^{3/2} (3+5 x)^{5/2} \, dx\) [2775]
3.28.76 \(\int (1-2 x)^{5/2} \sqrt {2+3 x} (3+5 x)^{5/2} \, dx\) [2776]
3.28.77 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{5/2}}{\sqrt {2+3 x}} \, dx\) [2777]
3.28.78 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{3/2}} \, dx\) [2778]
3.28.79 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{5/2}} \, dx\) [2779]
3.28.80 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{7/2}} \, dx\) [2780]
3.28.81 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{9/2}} \, dx\) [2781]
3.28.82 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{11/2}} \, dx\) [2782]
3.28.83 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{13/2}} \, dx\) [2783]
3.28.84 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{15/2}} \, dx\) [2784]
3.28.85 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{17/2}} \, dx\) [2785]
3.28.86 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (2+3 x)^{5/2}}{\sqrt {3+5 x}} \, dx\) [2786]
3.28.87 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (2+3 x)^{3/2}}{\sqrt {3+5 x}} \, dx\) [2787]
3.28.88 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} \sqrt {2+3 x}}{\sqrt {3+5 x}} \, dx\) [2788]
3.28.89 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2}}{\sqrt {2+3 x} \sqrt {3+5 x}} \, dx\) [2789]
3.28.90 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2}}{(2+3 x)^{3/2} \sqrt {3+5 x}} \, dx\) [2790]
3.28.91 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2}}{(2+3 x)^{5/2} \sqrt {3+5 x}} \, dx\) [2791]
3.28.92 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2}}{(2+3 x)^{7/2} \sqrt {3+5 x}} \, dx\) [2792]
3.28.93 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2}}{(2+3 x)^{9/2} \sqrt {3+5 x}} \, dx\) [2793]
3.28.94 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2}}{(2+3 x)^{11/2} \sqrt {3+5 x}} \, dx\) [2794]
3.28.95 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2}}{(2+3 x)^{13/2} \sqrt {3+5 x}} \, dx\) [2795]
3.28.96 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (2+3 x)^{7/2}}{(3+5 x)^{3/2}} \, dx\) [2796]
3.28.97 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (2+3 x)^{5/2}}{(3+5 x)^{3/2}} \, dx\) [2797]
3.28.98 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} (2+3 x)^{3/2}}{(3+5 x)^{3/2}} \, dx\) [2798]
3.28.99 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2} \sqrt {2+3 x}}{(3+5 x)^{3/2}} \, dx\) [2799]
3.28.100 \(\int \genfrac {}{}{}{}{(1-2 x)^{5/2}}{\sqrt {2+3 x} (3+5 x)^{3/2}} \, dx\) [2800]