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