3.28.1 \(\int x^m (a+b x^{-\genfrac {}{}{}{}{3}{2} (1+m)})^{2/3} \, dx\) [2701]
3.28.2 \(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{3}}}{\sqrt [3]{a+b x^n}} \, dx\) [2702]
3.28.3 \(\int x^{-1-\genfrac {}{}{}{}{2 n}{3}} (a+b x^n)^{2/3} \, dx\) [2703]
3.28.4 \(\int x^m (a+b x^n)^p \, dx\) [2704]
3.28.5 \(\int (a+b x^n)^{-4-\genfrac {}{}{}{}{1}{n}} \, dx\) [2705]
3.28.6 \(\int (a+b x^n)^{-3-\genfrac {}{}{}{}{1}{n}} \, dx\) [2706]
3.28.7 \(\int (a+b x^n)^{-2-\genfrac {}{}{}{}{1}{n}} \, dx\) [2707]
3.28.8 \(\int (a+b x^n)^{-1-\genfrac {}{}{}{}{1}{n}} \, dx\) [2708]
3.28.9 \(\int (a+b x^n)^{-1/n} \, dx\) [2709]
3.28.10 \(\int (a+b x^n)^{1-\genfrac {}{}{}{}{1}{n}} \, dx\) [2710]
3.28.11 \(\int (a+b x^n)^{2-\genfrac {}{}{}{}{1}{n}} \, dx\) [2711]
3.28.12 \(\int x^m (b x^n)^p \, dx\) [2712]
3.28.13 \(\int x^2 (b x^n)^p \, dx\) [2713]
3.28.14 \(\int x (b x^n)^p \, dx\) [2714]
3.28.15 \(\int (b x^n)^p \, dx\) [2715]
3.28.16 \(\int \genfrac {}{}{}{}{(b x^n)^p}{x} \, dx\) [2716]
3.28.17 \(\int \genfrac {}{}{}{}{(b x^n)^p}{x^2} \, dx\) [2717]
3.28.18 \(\int \genfrac {}{}{}{}{(b x^n)^p}{x^3} \, dx\) [2718]
3.28.19 \(\int \genfrac {}{}{}{}{(b x^n)^p}{x^4} \, dx\) [2719]
3.28.20 \(\int x^{-1+n} (a+b x^n)^p \, dx\) [2720]
3.28.21 \(\int x^{-1+2 n} (a+b x^n)^p \, dx\) [2721]
3.28.22 \(\int x^{-1+3 n} (a+b x^n)^p \, dx\) [2722]
3.28.23 \(\int x^{-1+4 n} (a+b x^n)^p \, dx\) [2723]
3.28.24 \(\int x^{-1-n-n p} (a+b x^n)^p \, dx\) [2724]
3.28.25 \(\int x^{-1-9 n} (a+b x^n)^8 \, dx\) [2725]
3.28.26 \(\int x^{-4-3 p} (a+b x^3)^p \, dx\) [2726]
3.28.27 \(\int \genfrac {}{}{}{}{(a+b x^3)^8}{x^{28}} \, dx\) [2727]
3.28.28 \(\int \genfrac {}{}{}{}{1}{x (a+b x^n)} \, dx\) [2728]
3.28.29 \(\int \genfrac {}{}{}{}{1}{x (a+b x^3)} \, dx\) [2729]
3.28.30 \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+4 n}{n}} \, dx\) [2730]
3.28.31 \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+3 n}{n}} \, dx\) [2731]
3.28.32 \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+2 n}{n}} \, dx\) [2732]
3.28.33 \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1+n}{n}} \, dx\) [2733]
3.28.34 \(\int (a+b x^n)^{-1/n} \, dx\) [2734]
3.28.35 \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1-n}{n}} \, dx\) [2735]
3.28.36 \(\int (a+b x^n)^{-\genfrac {}{}{}{}{1-2 n}{n}} \, dx\) [2736]
3.28.37 \(\int \genfrac {}{}{}{}{1}{x (a+b x^{-n})} \, dx\) [2737]
3.28.38 \(\int \genfrac {}{}{}{}{x^m}{a+b x^{1+m}} \, dx\) [2738]
3.28.39 \(\int x^m (a+b x^{1+m})^n \, dx\) [2739]
3.28.40 \(\int x^m (a+b x^{2+2 m})^3 \, dx\) [2740]
3.28.41 \(\int x^m (a+b x^{2+2 m})^2 \, dx\) [2741]
3.28.42 \(\int x^m (a+b x^{2+2 m}) \, dx\) [2742]
3.28.43 \(\int \genfrac {}{}{}{}{x^m}{a+b x^{2+2 m}} \, dx\) [2743]
3.28.44 \(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^2} \, dx\) [2744]
3.28.45 \(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^3} \, dx\) [2745]
3.28.46 \(\int x^m (a+b x^{2+2 m})^{5/2} \, dx\) [2746]
3.28.47 \(\int x^m (a+b x^{2+2 m})^{3/2} \, dx\) [2747]
3.28.48 \(\int x^m \sqrt {a+b x^{2+2 m}} \, dx\) [2748]
3.28.49 \(\int \genfrac {}{}{}{}{x^m}{\sqrt {a+b x^{2+2 m}}} \, dx\) [2749]
3.28.50 \(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^{3/2}} \, dx\) [2750]
3.28.51 \(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^{5/2}} \, dx\) [2751]
3.28.52 \(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^{7/2}} \, dx\) [2752]
3.28.53 \(\int x^n \sqrt {1+x^{1+n}} \, dx\) [2753]
3.28.54 \(\int x^n \sqrt {a^2+x^{1+n}} \, dx\) [2754]
3.28.55 \(\int (c x)^m (a+b x^n)^2 \, dx\) [2755]
3.28.56 \(\int (c x)^m (a+b x^3)^2 \, dx\) [2756]
3.28.57 \(\int (c x)^m (a+b x^2)^2 \, dx\) [2757]
3.28.58 \(\int (c x)^m (a+b x)^2 \, dx\) [2758]
3.28.59 \(\int (a+\genfrac {}{}{}{}{b}{x})^2 (c x)^m \, dx\) [2759]
3.28.60 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^2 (c x)^m \, dx\) [2760]
3.28.61 \(\int (a+\genfrac {}{}{}{}{b}{x^3})^2 (c x)^m \, dx\) [2761]
3.28.62 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{2}}}{a+b x^n} \, dx\) [2762]
3.28.63 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{2 n}{3}}}{a+b x^n} \, dx\) [2763]
3.28.64 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{3 n}{4}}}{a+b x^n} \, dx\) [2764]
3.28.65 \(\int \genfrac {}{}{}{}{(c x)^{-1-n}}{a+b x^n} \, dx\) [2765]
3.28.66 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{2}}}{a+b x^n} \, dx\) [2766]
3.28.67 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{3}}}{a+b x^n} \, dx\) [2767]
3.28.68 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{4}}}{a+b x^n} \, dx\) [2768]
3.28.69 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{3 n}{2}}}{a+b x^n} \, dx\) [2769]
3.28.70 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{4 n}{3}}}{a+b x^n} \, dx\) [2770]
3.28.71 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{5 n}{4}}}{a+b x^n} \, dx\) [2771]
3.28.72 \(\int \genfrac {}{}{}{}{(c x)^{4+n}}{a+b x^n} \, dx\) [2772]
3.28.73 \(\int \genfrac {}{}{}{}{(c x)^{3+n}}{a+b x^n} \, dx\) [2773]
3.28.74 \(\int \genfrac {}{}{}{}{(c x)^{2+n}}{a+b x^n} \, dx\) [2774]
3.28.75 \(\int \genfrac {}{}{}{}{(c x)^{1+n}}{a+b x^n} \, dx\) [2775]
3.28.76 \(\int \genfrac {}{}{}{}{(c x)^n}{a+b x^n} \, dx\) [2776]
3.28.77 \(\int \genfrac {}{}{}{}{(c x)^{-1+n}}{a+b x^n} \, dx\) [2777]
3.28.78 \(\int \genfrac {}{}{}{}{(c x)^{-2+n}}{a+b x^n} \, dx\) [2778]
3.28.79 \(\int \genfrac {}{}{}{}{(c x)^{-3+n}}{a+b x^n} \, dx\) [2779]
3.28.80 \(\int \genfrac {}{}{}{}{(c x)^{-1+n}}{(a+b x^n)^2} \, dx\) [2780]
3.28.81 \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{7 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2781]
3.28.82 \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{5 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2782]
3.28.83 \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{3 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2783]
3.28.84 \(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2784]
3.28.85 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2785]
3.28.86 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{3 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2786]
3.28.87 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{5 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2787]
3.28.88 \(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{7 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [2788]
3.28.89 \(\int (c x)^m (a+b x^n)^p \, dx\) [2789]
3.28.90 \(\int (c x)^{3 n} (a+b x^n)^p \, dx\) [2790]
3.28.91 \(\int (c x)^{2 n} (a+b x^n)^p \, dx\) [2791]
3.28.92 \(\int (c x)^n (a+b x^n)^p \, dx\) [2792]
3.28.93 \(\int (a+b x^n)^p \, dx\) [2793]
3.28.94 \(\int (c x)^{-n} (a+b x^n)^p \, dx\) [2794]
3.28.95 \(\int (c x)^{-2 n} (a+b x^n)^p \, dx\) [2795]
3.28.96 \(\int (c x)^{-3 n} (a+b x^n)^p \, dx\) [2796]
3.28.97 \(\int (c x)^{-1-n p} (a+b x^n)^p \, dx\) [2797]
3.28.98 \(\int (c x)^{-1-n-n p} (a+b x^n)^p \, dx\) [2798]
3.28.99 \(\int (c x)^{-1-2 n-n p} (a+b x^n)^p \, dx\) [2799]
3.28.100 \(\int (c x)^{-1-3 n-n p} (a+b x^n)^p \, dx\) [2800]