3.27 Integrals 2601 to 2700

   \(\int \genfrac {}{}{}{}{x^{-1+n}}{a+b x^n} \, dx\) [2601]
   \(\int \genfrac {}{}{}{}{1}{x (a+b x^n)} \, dx\) [2602]
   \(\int \genfrac {}{}{}{}{x^{-1-n}}{a+b x^n} \, dx\) [2603]
   \(\int \genfrac {}{}{}{}{x^{-1-2 n}}{a+b x^n} \, dx\) [2604]
   \(\int \genfrac {}{}{}{}{x^{-1-3 n}}{a+b x^n} \, dx\) [2605]
   \(\int \genfrac {}{}{}{}{x^{4+5 (-1+n)}}{a+b x^n} \, dx\) [2606]
   \(\int \genfrac {}{}{}{}{x^{3+4 (-1+n)}}{a+b x^n} \, dx\) [2607]
   \(\int \genfrac {}{}{}{}{x^{2+3 (-1+n)}}{a+b x^n} \, dx\) [2608]
   \(\int \genfrac {}{}{}{}{x^{1+2 (-1+n)}}{a+b x^n} \, dx\) [2609]
   \(\int \genfrac {}{}{}{}{x^{-1+n}}{a+b x^n} \, dx\) [2610]
   \(\int \genfrac {}{}{}{}{1}{x (a+b x^n)} \, dx\) [2611]
   \(\int \genfrac {}{}{}{}{x^{-1-n}}{a+b x^n} \, dx\) [2612]
   \(\int \genfrac {}{}{}{}{x^{-3-2 (-1+n)}}{a+b x^n} \, dx\) [2613]
   \(\int \genfrac {}{}{}{}{x^{-4-3 (-1+n)}}{a+b x^n} \, dx\) [2614]
   \(\int \genfrac {}{}{}{}{x^{-1+5 n}}{2+b x^n} \, dx\) [2615]
   \(\int \genfrac {}{}{}{}{x^{-1+4 n}}{2+b x^n} \, dx\) [2616]
   \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{2+b x^n} \, dx\) [2617]
   \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{2+b x^n} \, dx\) [2618]
   \(\int \genfrac {}{}{}{}{x^{-1+n}}{2+b x^n} \, dx\) [2619]
   \(\int \genfrac {}{}{}{}{1}{x (2+b x^n)} \, dx\) [2620]
   \(\int \genfrac {}{}{}{}{x^{-1-n}}{2+b x^n} \, dx\) [2621]
   \(\int \genfrac {}{}{}{}{x^{-1-2 n}}{2+b x^n} \, dx\) [2622]
   \(\int \genfrac {}{}{}{}{x^{-1-3 n}}{2+b x^n} \, dx\) [2623]
   \(\int \genfrac {}{}{}{}{x^{-1+4 n}}{(a+b x^n)^2} \, dx\) [2624]
   \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{(a+b x^n)^2} \, dx\) [2625]
   \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{(a+b x^n)^2} \, dx\) [2626]
   \(\int \genfrac {}{}{}{}{x^{-1+n}}{(a+b x^n)^2} \, dx\) [2627]
   \(\int \genfrac {}{}{}{}{1}{x (a+b x^n)^2} \, dx\) [2628]
   \(\int \genfrac {}{}{}{}{x^{-1-n}}{(a+b x^n)^2} \, dx\) [2629]
   \(\int \genfrac {}{}{}{}{x^{-1-2 n}}{(a+b x^n)^2} \, dx\) [2630]
   \(\int \genfrac {}{}{}{}{x^{-1-3 n}}{(a+b x^n)^2} \, dx\) [2631]
   \(\int \genfrac {}{}{}{}{x^{-1+4 n}}{(a+b x^n)^3} \, dx\) [2632]
   \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{(a+b x^n)^3} \, dx\) [2633]
   \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{(a+b x^n)^3} \, dx\) [2634]
   \(\int \genfrac {}{}{}{}{x^{-1+n}}{(a+b x^n)^3} \, dx\) [2635]
   \(\int \genfrac {}{}{}{}{1}{x (a+b x^n)^3} \, dx\) [2636]
   \(\int \genfrac {}{}{}{}{x^{-1-n}}{(a+b x^n)^3} \, dx\) [2637]
   \(\int \genfrac {}{}{}{}{x^{-1-2 n}}{(a+b x^n)^3} \, dx\) [2638]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{2}}}{a+b x^n} \, dx\) [2639]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{2 n}{3}}}{a+b x^n} \, dx\) [2640]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{3 n}{4}}}{a+b x^n} \, dx\) [2641]
   \(\int \genfrac {}{}{}{}{x^{-1-n}}{a+b x^n} \, dx\) [2642]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{2}}}{a+b x^n} \, dx\) [2643]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{3}}}{a+b x^n} \, dx\) [2644]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{4}}}{a+b x^n} \, dx\) [2645]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{3 n}{2}}}{a+b x^n} \, dx\) [2646]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{4 n}{3}}}{a+b x^n} \, dx\) [2647]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{5 n}{4}}}{a+b x^n} \, dx\) [2648]
   \(\int x^{-1+4 n} \sqrt {a+b x^n} \, dx\) [2649]
   \(\int x^{-1+3 n} \sqrt {a+b x^n} \, dx\) [2650]
   \(\int x^{-1+2 n} \sqrt {a+b x^n} \, dx\) [2651]
   \(\int x^{-1+n} \sqrt {a+b x^n} \, dx\) [2652]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x^n}}{x} \, dx\) [2653]
   \(\int x^{-1-n} \sqrt {a+b x^n} \, dx\) [2654]
   \(\int x^{-1-2 n} \sqrt {a+b x^n} \, dx\) [2655]
   \(\int x^{-1-3 n} \sqrt {a+b x^n} \, dx\) [2656]
   \(\int x^{-1-4 n} \sqrt {a+b x^n} \, dx\) [2657]
   \(\int \genfrac {}{}{}{}{x^{-1+4 n}}{\sqrt {a+b x^n}} \, dx\) [2658]
   \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{\sqrt {a+b x^n}} \, dx\) [2659]
   \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{\sqrt {a+b x^n}} \, dx\) [2660]
   \(\int \genfrac {}{}{}{}{x^{-1+n}}{\sqrt {a+b x^n}} \, dx\) [2661]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x^n}} \, dx\) [2662]
   \(\int \genfrac {}{}{}{}{x^{-1-n}}{\sqrt {a+b x^n}} \, dx\) [2663]
   \(\int \genfrac {}{}{}{}{x^{-1-2 n}}{\sqrt {a+b x^n}} \, dx\) [2664]
   \(\int \genfrac {}{}{}{}{x^{-1-3 n}}{\sqrt {a+b x^n}} \, dx\) [2665]
   \(\int \genfrac {}{}{}{}{x^{-1-4 n}}{\sqrt {a+b x^n}} \, dx\) [2666]
   \(\int x^m (a+b x^n)^3 \, dx\) [2667]
   \(\int x^m (a+b x^n)^2 \, dx\) [2668]
   \(\int x^m (a+b x^n) \, dx\) [2669]
   \(\int \genfrac {}{}{}{}{x^m}{a+b x^n} \, dx\) [2670]
   \(\int \genfrac {}{}{}{}{x^m}{(a+b x^n)^2} \, dx\) [2671]
   \(\int \genfrac {}{}{}{}{x^m}{(a+b x^n)^3} \, dx\) [2672]
   \(\int x^m (a+b x^n)^{3/2} \, dx\) [2673]
   \(\int x^m \sqrt {a+b x^n} \, dx\) [2674]
   \(\int \genfrac {}{}{}{}{x^m}{\sqrt {a+b x^n}} \, dx\) [2675]
   \(\int \genfrac {}{}{}{}{x^m}{(a+b x^n)^{3/2}} \, dx\) [2676]
   \(\int \genfrac {}{}{}{}{x^m}{(a+b x^n)^{5/2}} \, dx\) [2677]
   \(\int \genfrac {}{}{}{}{x^{3+2 n}}{\sqrt {a+b x^n}} \, dx\) [2678]
   \(\int \genfrac {}{}{}{}{x^{3+n}}{\sqrt {a+b x^n}} \, dx\) [2679]
   \(\int \genfrac {}{}{}{}{x^{3-n}}{\sqrt {a+b x^n}} \, dx\) [2680]
   \(\int \genfrac {}{}{}{}{x^{3-2 n}}{\sqrt {a+b x^n}} \, dx\) [2681]
   \(\int \genfrac {}{}{}{}{x^{m+2 n}}{\sqrt {a+b x^n}} \, dx\) [2682]
   \(\int \genfrac {}{}{}{}{x^{m+n}}{\sqrt {a+b x^n}} \, dx\) [2683]
   \(\int \genfrac {}{}{}{}{x^{m-n}}{\sqrt {a+b x^n}} \, dx\) [2684]
   \(\int \genfrac {}{}{}{}{x^{m-2 n}}{\sqrt {a+b x^n}} \, dx\) [2685]
   \(\int (-\genfrac {}{}{}{}{b n x^{-1+m+n}}{2 (a+b x^n)^{3/2}}+\genfrac {}{}{}{}{m x^{-1+m}}{\sqrt {a+b x^n}}) \, dx\) [2686]
   \(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{7 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2687]
   \(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{5 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2688]
   \(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{3 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2689]
   \(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2690]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2691]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{3 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2692]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{5 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2693]
   \(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{7 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2694]
   \(\int \genfrac {}{}{}{}{x^m}{\sqrt {a+b x^{-2+m}}} \, dx\) [2695]
   \(\int \genfrac {}{}{}{}{x^m}{\sqrt {a+b x^{2-m}}} \, dx\) [2696]
   \(\int (\genfrac {}{}{}{}{6 a x^2}{b (4+m) \sqrt {a+b x^{-2+m}}}+\genfrac {}{}{}{}{x^m}{\sqrt {a+b x^{-2+m}}}) \, dx\) [2697]
   \(\int \genfrac {}{}{}{}{x^{-1+m} (2 a m+b (2 m-n) x^n)}{2 (a+b x^n)^{3/2}} \, dx\) [2698]
   \(\int (-\genfrac {}{}{}{}{b n x^{-1+m+n}}{2 (a+b x^n)^{3/2}}+\genfrac {}{}{}{}{m x^{-1+m}}{\sqrt {a+b x^n}}) \, dx\) [2699]
   \(\int \genfrac {}{}{}{}{x^m}{\sqrt [3]{a+b x^{3 (1+m)}}} \, dx\) [2700]