3.28 Integrals 2701 to 2800

  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]