3.28 Integrals 2701 to 2800

   \(\int x^m (a+b x^{-\genfrac {}{}{}{}{3}{2} (1+m)})^{2/3} \, dx\) [2701]
   \(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{3}}}{\sqrt [3]{a+b x^n}} \, dx\) [2702]
   \(\int x^{-1-\genfrac {}{}{}{}{2 n}{3}} (a+b x^n)^{2/3} \, dx\) [2703]
   \(\int x^m (a+b x^n)^p \, dx\) [2704]
   \(\int (a+b x^n)^{-4-\genfrac {}{}{}{}{1}{n}} \, dx\) [2705]
   \(\int (a+b x^n)^{-3-\genfrac {}{}{}{}{1}{n}} \, dx\) [2706]
   \(\int (a+b x^n)^{-2-\genfrac {}{}{}{}{1}{n}} \, dx\) [2707]
   \(\int (a+b x^n)^{-1-\genfrac {}{}{}{}{1}{n}} \, dx\) [2708]
   \(\int (a+b x^n)^{-1/n} \, dx\) [2709]
   \(\int (a+b x^n)^{1-\genfrac {}{}{}{}{1}{n}} \, dx\) [2710]
   \(\int (a+b x^n)^{2-\genfrac {}{}{}{}{1}{n}} \, dx\) [2711]
   \(\int x^m (b x^n)^p \, dx\) [2712]
   \(\int x^2 (b x^n)^p \, dx\) [2713]
   \(\int x (b x^n)^p \, dx\) [2714]
   \(\int (b x^n)^p \, dx\) [2715]
   \(\int \genfrac {}{}{}{}{(b x^n)^p}{x} \, dx\) [2716]
   \(\int \genfrac {}{}{}{}{(b x^n)^p}{x^2} \, dx\) [2717]
   \(\int \genfrac {}{}{}{}{(b x^n)^p}{x^3} \, dx\) [2718]
   \(\int \genfrac {}{}{}{}{(b x^n)^p}{x^4} \, dx\) [2719]
   \(\int x^{-1+n} (a+b x^n)^p \, dx\) [2720]
   \(\int x^{-1+2 n} (a+b x^n)^p \, dx\) [2721]
   \(\int x^{-1+3 n} (a+b x^n)^p \, dx\) [2722]
   \(\int x^{-1+4 n} (a+b x^n)^p \, dx\) [2723]
   \(\int x^{-1-n-n p} (a+b x^n)^p \, dx\) [2724]
   \(\int x^{-1-9 n} (a+b x^n)^8 \, dx\) [2725]
   \(\int x^{-4-3 p} (a+b x^3)^p \, dx\) [2726]
   \(\int \genfrac {}{}{}{}{(a+b x^3)^8}{x^{28}} \, dx\) [2727]
   \(\int \genfrac {}{}{}{}{1}{x (a+b x^n)} \, dx\) [2728]
   \(\int \genfrac {}{}{}{}{1}{x (a+b x^3)} \, dx\) [2729]
   \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+4 n}{n}} \, dx\) [2730]
   \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+3 n}{n}} \, dx\) [2731]
   \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+2 n}{n}} \, dx\) [2732]
   \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+n}{n}} \, dx\) [2733]
   \(\int (a+b x^n)^{-1/n} \, dx\) [2734]
   \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1-n}{n}} \, dx\) [2735]
   \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1-2 n}{n}} \, dx\) [2736]
   \(\int \genfrac {}{}{}{}{1}{x (a+b x^{-n})} \, dx\) [2737]
   \(\int \genfrac {}{}{}{}{x^m}{a+b x^{1+m}} \, dx\) [2738]
   \(\int x^m (a+b x^{1+m})^n \, dx\) [2739]
   \(\int x^m (a+b x^{2+2 m})^3 \, dx\) [2740]
   \(\int x^m (a+b x^{2+2 m})^2 \, dx\) [2741]
   \(\int x^m (a+b x^{2+2 m}) \, dx\) [2742]
   \(\int \genfrac {}{}{}{}{x^m}{a+b x^{2+2 m}} \, dx\) [2743]
   \(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^2} \, dx\) [2744]
   \(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^3} \, dx\) [2745]
   \(\int x^m (a+b x^{2+2 m})^{5/2} \, dx\) [2746]
   \(\int x^m (a+b x^{2+2 m})^{3/2} \, dx\) [2747]
   \(\int x^m \sqrt {a+b x^{2+2 m}} \, dx\) [2748]
   \(\int \genfrac {}{}{}{}{x^m}{\sqrt {a+b x^{2+2 m}}} \, dx\) [2749]
   \(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^{3/2}} \, dx\) [2750]
   \(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^{5/2}} \, dx\) [2751]
   \(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^{7/2}} \, dx\) [2752]
   \(\int x^n \sqrt {1+x^{1+n}} \, dx\) [2753]
   \(\int x^n \sqrt {a^2+x^{1+n}} \, dx\) [2754]
   \(\int (c x)^m (a+b x^n)^2 \, dx\) [2755]
   \(\int (c x)^m (a+b x^3)^2 \, dx\) [2756]
   \(\int (c x)^m (a+b x^2)^2 \, dx\) [2757]
   \(\int (c x)^m (a+b x)^2 \, dx\) [2758]
   \(\int (a+\genfrac {}{}{}{}{b}{x})^2 (c x)^m \, dx\) [2759]
   \(\int (a+\genfrac {}{}{}{}{b}{x^2})^2 (c x)^m \, dx\) [2760]
   \(\int (a+\genfrac {}{}{}{}{b}{x^3})^2 (c x)^m \, dx\) [2761]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{2}}}{a+b x^n} \, dx\) [2762]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{2 n}{3}}}{a+b x^n} \, dx\) [2763]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{3 n}{4}}}{a+b x^n} \, dx\) [2764]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-n}}{a+b x^n} \, dx\) [2765]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{2}}}{a+b x^n} \, dx\) [2766]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{3}}}{a+b x^n} \, dx\) [2767]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{4}}}{a+b x^n} \, dx\) [2768]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{3 n}{2}}}{a+b x^n} \, dx\) [2769]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{4 n}{3}}}{a+b x^n} \, dx\) [2770]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{5 n}{4}}}{a+b x^n} \, dx\) [2771]
   \(\int \genfrac {}{}{}{}{(c x)^{4+n}}{a+b x^n} \, dx\) [2772]
   \(\int \genfrac {}{}{}{}{(c x)^{3+n}}{a+b x^n} \, dx\) [2773]
   \(\int \genfrac {}{}{}{}{(c x)^{2+n}}{a+b x^n} \, dx\) [2774]
   \(\int \genfrac {}{}{}{}{(c x)^{1+n}}{a+b x^n} \, dx\) [2775]
   \(\int \genfrac {}{}{}{}{(c x)^n}{a+b x^n} \, dx\) [2776]
   \(\int \genfrac {}{}{}{}{(c x)^{-1+n}}{a+b x^n} \, dx\) [2777]
   \(\int \genfrac {}{}{}{}{(c x)^{-2+n}}{a+b x^n} \, dx\) [2778]
   \(\int \genfrac {}{}{}{}{(c x)^{-3+n}}{a+b x^n} \, dx\) [2779]
   \(\int \genfrac {}{}{}{}{(c x)^{-1+n}}{(a+b x^n)^2} \, dx\) [2780]
   \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{7 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2781]
   \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{5 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2782]
   \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{3 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2783]
   \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2784]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2785]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{3 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2786]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{5 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2787]
   \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{7 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2788]
   \(\int (c x)^m (a+b x^n)^p \, dx\) [2789]
   \(\int (c x)^{3 n} (a+b x^n)^p \, dx\) [2790]
   \(\int (c x)^{2 n} (a+b x^n)^p \, dx\) [2791]
   \(\int (c x)^n (a+b x^n)^p \, dx\) [2792]
   \(\int (a+b x^n)^p \, dx\) [2793]
   \(\int (c x)^{-n} (a+b x^n)^p \, dx\) [2794]
   \(\int (c x)^{-2 n} (a+b x^n)^p \, dx\) [2795]
   \(\int (c x)^{-3 n} (a+b x^n)^p \, dx\) [2796]
   \(\int (c x)^{-1-n p} (a+b x^n)^p \, dx\) [2797]
   \(\int (c x)^{-1-n-n p} (a+b x^n)^p \, dx\) [2798]
   \(\int (c x)^{-1-2 n-n p} (a+b x^n)^p \, dx\) [2799]
   \(\int (c x)^{-1-3 n-n p} (a+b x^n)^p \, dx\) [2800]