3.29 Integrals 2801 to 2900

  3.29.1 \(\int (c x)^{-1-4 n-n p} (a+b x^n)^p \, dx\) [2801]
  3.29.2 \(\int (c (a+b x)^2)^{5/2} \, dx\) [2802]
  3.29.3 \(\int (c (a+b x)^2)^{3/2} \, dx\) [2803]
  3.29.4 \(\int \sqrt {c (a+b x)^2} \, dx\) [2804]
  3.29.5 \(\int \genfrac {}{}{}{}{1}{\sqrt {c (a+b x)^2}} \, dx\) [2805]
  3.29.6 \(\int \genfrac {}{}{}{}{1}{(c (a+b x)^2)^{3/2}} \, dx\) [2806]
  3.29.7 \(\int \genfrac {}{}{}{}{1}{(c (a+b x)^2)^{5/2}} \, dx\) [2807]
  3.29.8 \(\int \sqrt {(3+5 x)^2} \, dx\) [2808]
  3.29.9 \(\int \sqrt {(6+10 x)^2} \, dx\) [2809]
  3.29.10 \(\int \genfrac {}{}{}{}{1}{\sqrt {(3+5 x)^2}} \, dx\) [2810]
  3.29.11 \(\int \genfrac {}{}{}{}{1}{\sqrt {(6+10 x)^2}} \, dx\) [2811]
  3.29.12 \(\int \genfrac {}{}{}{}{1}{\sqrt {-(2+3 x)^2}} \, dx\) [2812]
  3.29.13 \(\int (c (a+b x)^3)^{5/2} \, dx\) [2813]
  3.29.14 \(\int (c (a+b x)^3)^{3/2} \, dx\) [2814]
  3.29.15 \(\int \sqrt {c (a+b x)^3} \, dx\) [2815]
  3.29.16 \(\int \genfrac {}{}{}{}{1}{\sqrt {c (a+b x)^3}} \, dx\) [2816]
  3.29.17 \(\int \genfrac {}{}{}{}{1}{(c (a+b x)^3)^{3/2}} \, dx\) [2817]
  3.29.18 \(\int \genfrac {}{}{}{}{1}{(c (a+b x)^3)^{5/2}} \, dx\) [2818]
  3.29.19 \(\int (\genfrac {}{}{}{}{c}{a+b x})^{5/2} \, dx\) [2819]
  3.29.20 \(\int (\genfrac {}{}{}{}{c}{a+b x})^{3/2} \, dx\) [2820]
  3.29.21 \(\int \sqrt {\genfrac {}{}{}{}{c}{a+b x}} \, dx\) [2821]
  3.29.22 \(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{c}{a+b x}}} \, dx\) [2822]
  3.29.23 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{c}{a+b x})^{3/2}} \, dx\) [2823]
  3.29.24 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{c}{a+b x})^{5/2}} \, dx\) [2824]
  3.29.25 \(\int (\genfrac {}{}{}{}{c}{(a+b x)^2})^{5/2} \, dx\) [2825]
  3.29.26 \(\int (\genfrac {}{}{}{}{c}{(a+b x)^2})^{3/2} \, dx\) [2826]
  3.29.27 \(\int \sqrt {\genfrac {}{}{}{}{c}{(a+b x)^2}} \, dx\) [2827]
  3.29.28 \(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{c}{(a+b x)^2}}} \, dx\) [2828]
  3.29.29 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{c}{(a+b x)^2})^{3/2}} \, dx\) [2829]
  3.29.30 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{c}{(a+b x)^2})^{5/2}} \, dx\) [2830]
  3.29.31 \(\int (\genfrac {}{}{}{}{c}{(a+b x)^3})^{5/2} \, dx\) [2831]
  3.29.32 \(\int (\genfrac {}{}{}{}{c}{(a+b x)^3})^{3/2} \, dx\) [2832]
  3.29.33 \(\int \sqrt {\genfrac {}{}{}{}{c}{(a+b x)^3}} \, dx\) [2833]
  3.29.34 \(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{c}{(a+b x)^3}}} \, dx\) [2834]
  3.29.35 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{c}{(a+b x)^3})^{3/2}} \, dx\) [2835]
  3.29.36 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{c}{(a+b x)^3})^{5/2}} \, dx\) [2836]
  3.29.37 \(\int (c (a+b x)^{3/2})^{2/3} \, dx\) [2837]
  3.29.38 \(\int (c (a+b x)^{2/3})^{3/2} \, dx\) [2838]
  3.29.39 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{c}{(a+b x)^{3/2}})^{2/3}} \, dx\) [2839]
  3.29.40 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{c}{(a+b x)^{2/3}})^{3/2}} \, dx\) [2840]
  3.29.41 \(\int (c+d x)^3 (a+b (c+d x)^2) \, dx\) [2841]
  3.29.42 \(\int (c+d x)^3 (a+b (c+d x)^2)^2 \, dx\) [2842]
  3.29.43 \(\int (c+d x)^3 (a+b (c+d x)^2)^3 \, dx\) [2843]
  3.29.44 \(\int \genfrac {}{}{}{}{2+x}{1+(2+x)^2} \, dx\) [2844]
  3.29.45 \(\int \genfrac {}{}{}{}{2+x}{(1+(2+x)^2)^2} \, dx\) [2845]
  3.29.46 \(\int \genfrac {}{}{}{}{2+x}{(1+(2+x)^2)^3} \, dx\) [2846]
  3.29.47 \(\int (c+d x)^5 (a+b (c+d x)^2)^p \, dx\) [2847]
  3.29.48 \(\int (c+d x)^4 (a+b (c+d x)^2)^p \, dx\) [2848]
  3.29.49 \(\int (c+d x)^3 (a+b (c+d x)^2)^p \, dx\) [2849]
  3.29.50 \(\int (c+d x)^2 (a+b (c+d x)^2)^p \, dx\) [2850]
  3.29.51 \(\int (c+d x) (a+b (c+d x)^2)^p \, dx\) [2851]
  3.29.52 \(\int \genfrac {}{}{}{}{(a+b (c+d x)^2)^p}{c+d x} \, dx\) [2852]
  3.29.53 \(\int (c+d x)^3 (a+b (c+d x)^3) \, dx\) [2853]
  3.29.54 \(\int (c+d x)^3 (a+b (c+d x)^3)^2 \, dx\) [2854]
  3.29.55 \(\int (c+d x)^3 (a+b (c+d x)^3)^3 \, dx\) [2855]
  3.29.56 \(\int (c e+d e x)^3 (a+b (c+d x)^3) \, dx\) [2856]
  3.29.57 \(\int (c e+d e x)^3 (a+b (c+d x)^3)^2 \, dx\) [2857]
  3.29.58 \(\int (c e+d e x)^3 (a+b (c+d x)^3)^3 \, dx\) [2858]
  3.29.59 \(\int \genfrac {}{}{}{}{(c+d x)^4}{a+b (c+d x)^3} \, dx\) [2859]
  3.29.60 \(\int \genfrac {}{}{}{}{(c+d x)^3}{a+b (c+d x)^3} \, dx\) [2860]
  3.29.61 \(\int \genfrac {}{}{}{}{(c+d x)^2}{a+b (c+d x)^3} \, dx\) [2861]
  3.29.62 \(\int \genfrac {}{}{}{}{c+d x}{a+b (c+d x)^3} \, dx\) [2862]
  3.29.63 \(\int \genfrac {}{}{}{}{1}{a+b (c+d x)^3} \, dx\) [2863]
  3.29.64 \(\int \genfrac {}{}{}{}{1}{(c+d x) (a+b (c+d x)^3)} \, dx\) [2864]
  3.29.65 \(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+b (c+d x)^3)} \, dx\) [2865]
  3.29.66 \(\int \genfrac {}{}{}{}{1}{(c+d x)^3 (a+b (c+d x)^3)} \, dx\) [2866]
  3.29.67 \(\int \genfrac {}{}{}{}{1}{(c+d x)^4 (a+b (c+d x)^3)} \, dx\) [2867]
  3.29.68 \(\int \genfrac {}{}{}{}{(c+d x)^4}{(a+b (c+d x)^3)^2} \, dx\) [2868]
  3.29.69 \(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+b (c+d x)^3)^2} \, dx\) [2869]
  3.29.70 \(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+b (c+d x)^3)^2} \, dx\) [2870]
  3.29.71 \(\int \genfrac {}{}{}{}{c+d x}{(a+b (c+d x)^3)^2} \, dx\) [2871]
  3.29.72 \(\int \genfrac {}{}{}{}{1}{(a+b (c+d x)^3)^2} \, dx\) [2872]
  3.29.73 \(\int \genfrac {}{}{}{}{1}{(c+d x) (a+b (c+d x)^3)^2} \, dx\) [2873]
  3.29.74 \(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+b (c+d x)^3)^2} \, dx\) [2874]
  3.29.75 \(\int \genfrac {}{}{}{}{1}{(c+d x)^3 (a+b (c+d x)^3)^2} \, dx\) [2875]
  3.29.76 \(\int \genfrac {}{}{}{}{1}{(c+d x)^4 (a+b (c+d x)^3)^2} \, dx\) [2876]
  3.29.77 \(\int \genfrac {}{}{}{}{(c+d x)^4}{(a+b (c+d x)^3)^3} \, dx\) [2877]
  3.29.78 \(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+b (c+d x)^3)^3} \, dx\) [2878]
  3.29.79 \(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+b (c+d x)^3)^3} \, dx\) [2879]
  3.29.80 \(\int \genfrac {}{}{}{}{c+d x}{(a+b (c+d x)^3)^3} \, dx\) [2880]
  3.29.81 \(\int \genfrac {}{}{}{}{1}{(a+b (c+d x)^3)^3} \, dx\) [2881]
  3.29.82 \(\int \genfrac {}{}{}{}{1}{(c+d x) (a+b (c+d x)^3)^3} \, dx\) [2882]
  3.29.83 \(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+b (c+d x)^3)^3} \, dx\) [2883]
  3.29.84 \(\int \genfrac {}{}{}{}{1}{(c+d x)^3 (a+b (c+d x)^3)^3} \, dx\) [2884]
  3.29.85 \(\int \genfrac {}{}{}{}{1}{(c+d x)^4 (a+b (c+d x)^3)^3} \, dx\) [2885]
  3.29.86 \(\int \genfrac {}{}{}{}{(c e+d e x)^4}{a+b (c+d x)^3} \, dx\) [2886]
  3.29.87 \(\int \genfrac {}{}{}{}{(c e+d e x)^3}{a+b (c+d x)^3} \, dx\) [2887]
  3.29.88 \(\int \genfrac {}{}{}{}{(c e+d e x)^2}{a+b (c+d x)^3} \, dx\) [2888]
  3.29.89 \(\int \genfrac {}{}{}{}{c e+d e x}{a+b (c+d x)^3} \, dx\) [2889]
  3.29.90 \(\int \genfrac {}{}{}{}{1}{(c e+d e x) (a+b (c+d x)^3)} \, dx\) [2890]
  3.29.91 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^2 (a+b (c+d x)^3)} \, dx\) [2891]
  3.29.92 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^3 (a+b (c+d x)^3)} \, dx\) [2892]
  3.29.93 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^4 (a+b (c+d x)^3)} \, dx\) [2893]
  3.29.94 \(\int \genfrac {}{}{}{}{(c e+d e x)^4}{(a+b (c+d x)^3)^2} \, dx\) [2894]
  3.29.95 \(\int \genfrac {}{}{}{}{(c e+d e x)^3}{(a+b (c+d x)^3)^2} \, dx\) [2895]
  3.29.96 \(\int \genfrac {}{}{}{}{(c e+d e x)^2}{(a+b (c+d x)^3)^2} \, dx\) [2896]
  3.29.97 \(\int \genfrac {}{}{}{}{c e+d e x}{(a+b (c+d x)^3)^2} \, dx\) [2897]
  3.29.98 \(\int \genfrac {}{}{}{}{1}{(c e+d e x) (a+b (c+d x)^3)^2} \, dx\) [2898]
  3.29.99 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^2 (a+b (c+d x)^3)^2} \, dx\) [2899]
  3.29.100 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^3 (a+b (c+d x)^3)^2} \, dx\) [2900]