3.27.1 \(\int \genfrac {}{}{}{}{(2+3 x) (3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx\) [2601]
3.27.2 \(\int \genfrac {}{}{}{}{(3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx\) [2602]
3.27.3 \(\int \genfrac {}{}{}{}{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)} \, dx\) [2603]
3.27.4 \(\int \genfrac {}{}{}{}{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^2} \, dx\) [2604]
3.27.5 \(\int \genfrac {}{}{}{}{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^3} \, dx\) [2605]
3.27.6 \(\int \genfrac {}{}{}{}{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^4} \, dx\) [2606]
3.27.7 \(\int \genfrac {}{}{}{}{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^5} \, dx\) [2607]
3.27.8 \(\int \genfrac {}{}{}{}{(2+3 x)^5}{(1-2 x)^{5/2} \sqrt {3+5 x}} \, dx\) [2608]
3.27.9 \(\int \genfrac {}{}{}{}{(2+3 x)^4}{(1-2 x)^{5/2} \sqrt {3+5 x}} \, dx\) [2609]
3.27.10 \(\int \genfrac {}{}{}{}{(2+3 x)^3}{(1-2 x)^{5/2} \sqrt {3+5 x}} \, dx\) [2610]
3.27.11 \(\int \genfrac {}{}{}{}{(2+3 x)^2}{(1-2 x)^{5/2} \sqrt {3+5 x}} \, dx\) [2611]
3.27.12 \(\int \genfrac {}{}{}{}{2+3 x}{(1-2 x)^{5/2} \sqrt {3+5 x}} \, dx\) [2612]
3.27.13 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} \sqrt {3+5 x}} \, dx\) [2613]
3.27.14 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x) \sqrt {3+5 x}} \, dx\) [2614]
3.27.15 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^2 \sqrt {3+5 x}} \, dx\) [2615]
3.27.16 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^3 \sqrt {3+5 x}} \, dx\) [2616]
3.27.17 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^4 \sqrt {3+5 x}} \, dx\) [2617]
3.27.18 \(\int \genfrac {}{}{}{}{(2+3 x)^5}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx\) [2618]
3.27.19 \(\int \genfrac {}{}{}{}{(2+3 x)^4}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx\) [2619]
3.27.20 \(\int \genfrac {}{}{}{}{(2+3 x)^3}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx\) [2620]
3.27.21 \(\int \genfrac {}{}{}{}{(2+3 x)^2}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx\) [2621]
3.27.22 \(\int \genfrac {}{}{}{}{2+3 x}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx\) [2622]
3.27.23 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx\) [2623]
3.27.24 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x) (3+5 x)^{3/2}} \, dx\) [2624]
3.27.25 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^2 (3+5 x)^{3/2}} \, dx\) [2625]
3.27.26 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^3 (3+5 x)^{3/2}} \, dx\) [2626]
3.27.27 \(\int \genfrac {}{}{}{}{(2+3 x)^6}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [2627]
3.27.28 \(\int \genfrac {}{}{}{}{(2+3 x)^5}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [2628]
3.27.29 \(\int \genfrac {}{}{}{}{(2+3 x)^4}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [2629]
3.27.30 \(\int \genfrac {}{}{}{}{(2+3 x)^3}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [2630]
3.27.31 \(\int \genfrac {}{}{}{}{(2+3 x)^2}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [2631]
3.27.32 \(\int \genfrac {}{}{}{}{2+3 x}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [2632]
3.27.33 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [2633]
3.27.34 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x) (3+5 x)^{5/2}} \, dx\) [2634]
3.27.35 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^2 (3+5 x)^{5/2}} \, dx\) [2635]
3.27.36 \(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^3 (3+5 x)^{5/2}} \, dx\) [2636]
3.27.37 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt {c+\genfrac {}{}{}{}{b (-1+c) x}{a}} \sqrt {e+\genfrac {}{}{}{}{b (-1+e) x}{a}}} \, dx\) [2637]
3.27.38 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+\genfrac {}{}{}{}{b (-1+e) x}{a}}} \, dx\) [2638]
3.27.39 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [2639]
3.27.40 \(\int \genfrac {}{}{}{}{\sqrt {e+\genfrac {}{}{}{}{b (-1+e) x}{a}}}{\sqrt {a+b x} \sqrt {c+\genfrac {}{}{}{}{b (-1+c) x}{a}}} \, dx\) [2640]
3.27.41 \(\int \genfrac {}{}{}{}{\sqrt {c+d x}}{\sqrt {a+b x} \sqrt {e+\genfrac {}{}{}{}{b (-1+e) x}{a}}} \, dx\) [2641]
3.27.42 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{\sqrt {c+\genfrac {}{}{}{}{b (-1+c) x}{a}} \sqrt {e+\genfrac {}{}{}{}{b (-1+e) x}{a}}} \, dx\) [2642]
3.27.43 \(\int \genfrac {}{}{}{}{\sqrt {e+f x}}{\sqrt {a+b x} \sqrt {c+d x}} \, dx\) [2643]
3.27.44 \(\int \genfrac {}{}{}{}{1}{\sqrt {-c+d x} \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [2644]
3.27.45 \(\int \sqrt {1-2 x} (2+3 x)^{5/2} \sqrt {3+5 x} \, dx\) [2645]
3.27.46 \(\int \sqrt {1-2 x} (2+3 x)^{3/2} \sqrt {3+5 x} \, dx\) [2646]
3.27.47 \(\int \sqrt {1-2 x} \sqrt {2+3 x} \sqrt {3+5 x} \, dx\) [2647]
3.27.48 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} \sqrt {3+5 x}}{\sqrt {2+3 x}} \, dx\) [2648]
3.27.49 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} \sqrt {3+5 x}}{(2+3 x)^{3/2}} \, dx\) [2649]
3.27.50 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} \sqrt {3+5 x}}{(2+3 x)^{5/2}} \, dx\) [2650]
3.27.51 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} \sqrt {3+5 x}}{(2+3 x)^{7/2}} \, dx\) [2651]
3.27.52 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} \sqrt {3+5 x}}{(2+3 x)^{9/2}} \, dx\) [2652]
3.27.53 \(\int \sqrt {1-2 x} (2+3 x)^{5/2} (3+5 x)^{3/2} \, dx\) [2653]
3.27.54 \(\int \sqrt {1-2 x} (2+3 x)^{3/2} (3+5 x)^{3/2} \, dx\) [2654]
3.27.55 \(\int \sqrt {1-2 x} \sqrt {2+3 x} (3+5 x)^{3/2} \, dx\) [2655]
3.27.56 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{3/2}}{\sqrt {2+3 x}} \, dx\) [2656]
3.27.57 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{3/2}}{(2+3 x)^{3/2}} \, dx\) [2657]
3.27.58 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{3/2}}{(2+3 x)^{5/2}} \, dx\) [2658]
3.27.59 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{3/2}}{(2+3 x)^{7/2}} \, dx\) [2659]
3.27.60 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{3/2}}{(2+3 x)^{9/2}} \, dx\) [2660]
3.27.61 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{3/2}}{(2+3 x)^{11/2}} \, dx\) [2661]
3.27.62 \(\int \sqrt {1-2 x} (2+3 x)^{5/2} (3+5 x)^{5/2} \, dx\) [2662]
3.27.63 \(\int \sqrt {1-2 x} (2+3 x)^{3/2} (3+5 x)^{5/2} \, dx\) [2663]
3.27.64 \(\int \sqrt {1-2 x} \sqrt {2+3 x} (3+5 x)^{5/2} \, dx\) [2664]
3.27.65 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{5/2}}{\sqrt {2+3 x}} \, dx\) [2665]
3.27.66 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{3/2}} \, dx\) [2666]
3.27.67 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{5/2}} \, dx\) [2667]
3.27.68 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{7/2}} \, dx\) [2668]
3.27.69 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{9/2}} \, dx\) [2669]
3.27.70 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{11/2}} \, dx\) [2670]
3.27.71 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{13/2}} \, dx\) [2671]
3.27.72 \(\int \genfrac {}{}{}{}{\sqrt {e+f x}}{\sqrt {a+b x} \sqrt {c+d x}} \, dx\) [2672]
3.27.73 \(\int \genfrac {}{}{}{}{\sqrt {e+f x}}{(a+b x)^{3/2} \sqrt {c+d x}} \, dx\) [2673]
3.27.74 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{\sqrt {-3-5 x} \sqrt {2+3 x}} \, dx\) [2674]
3.27.75 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (2+3 x)^{5/2}}{\sqrt {3+5 x}} \, dx\) [2675]
3.27.76 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (2+3 x)^{3/2}}{\sqrt {3+5 x}} \, dx\) [2676]
3.27.77 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} \sqrt {2+3 x}}{\sqrt {3+5 x}} \, dx\) [2677]
3.27.78 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{\sqrt {2+3 x} \sqrt {3+5 x}} \, dx\) [2678]
3.27.79 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{(2+3 x)^{3/2} \sqrt {3+5 x}} \, dx\) [2679]
3.27.80 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{(2+3 x)^{5/2} \sqrt {3+5 x}} \, dx\) [2680]
3.27.81 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{(2+3 x)^{7/2} \sqrt {3+5 x}} \, dx\) [2681]
3.27.82 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (2+3 x)^{7/2}}{(3+5 x)^{3/2}} \, dx\) [2682]
3.27.83 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (2+3 x)^{5/2}}{(3+5 x)^{3/2}} \, dx\) [2683]
3.27.84 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (2+3 x)^{3/2}}{(3+5 x)^{3/2}} \, dx\) [2684]
3.27.85 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} \sqrt {2+3 x}}{(3+5 x)^{3/2}} \, dx\) [2685]
3.27.86 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{\sqrt {2+3 x} (3+5 x)^{3/2}} \, dx\) [2686]
3.27.87 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{(2+3 x)^{3/2} (3+5 x)^{3/2}} \, dx\) [2687]
3.27.88 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{(2+3 x)^{5/2} (3+5 x)^{3/2}} \, dx\) [2688]
3.27.89 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{(2+3 x)^{7/2} (3+5 x)^{3/2}} \, dx\) [2689]
3.27.90 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (2+3 x)^{9/2}}{(3+5 x)^{5/2}} \, dx\) [2690]
3.27.91 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (2+3 x)^{7/2}}{(3+5 x)^{5/2}} \, dx\) [2691]
3.27.92 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (2+3 x)^{5/2}}{(3+5 x)^{5/2}} \, dx\) [2692]
3.27.93 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} (2+3 x)^{3/2}}{(3+5 x)^{5/2}} \, dx\) [2693]
3.27.94 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x} \sqrt {2+3 x}}{(3+5 x)^{5/2}} \, dx\) [2694]
3.27.95 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{\sqrt {2+3 x} (3+5 x)^{5/2}} \, dx\) [2695]
3.27.96 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{(2+3 x)^{3/2} (3+5 x)^{5/2}} \, dx\) [2696]
3.27.97 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{(2+3 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [2697]
3.27.98 \(\int \genfrac {}{}{}{}{\sqrt {1-2 x}}{(2+3 x)^{7/2} (3+5 x)^{5/2}} \, dx\) [2698]
3.27.99 \(\int (1-2 x)^{3/2} (2+3 x)^{5/2} \sqrt {3+5 x} \, dx\) [2699]
3.27.100 \(\int (1-2 x)^{3/2} (2+3 x)^{3/2} \sqrt {3+5 x} \, dx\) [2700]