3.26 Integrals 2501 to 2590

  3.26.1 \(\int \genfrac {}{}{}{}{1}{(2+3 x)^2 \sqrt [3]{52-54 x+27 x^2}} \, dx\) [2501]
  3.26.2 \(\int \genfrac {}{}{}{}{1}{(2+3 x)^3 \sqrt [3]{52-54 x+27 x^2}} \, dx\) [2502]
  3.26.3 \(\int \genfrac {}{}{}{}{(2+3 x)^3}{\sqrt [3]{28+54 x+27 x^2}} \, dx\) [2503]
  3.26.4 \(\int \genfrac {}{}{}{}{(2+3 x)^2}{\sqrt [3]{28+54 x+27 x^2}} \, dx\) [2504]
  3.26.5 \(\int \genfrac {}{}{}{}{2+3 x}{\sqrt [3]{28+54 x+27 x^2}} \, dx\) [2505]
  3.26.6 \(\int \genfrac {}{}{}{}{1}{(2+3 x) \sqrt [3]{28+54 x+27 x^2}} \, dx\) [2506]
  3.26.7 \(\int \genfrac {}{}{}{}{1}{(2+3 x)^2 \sqrt [3]{28+54 x+27 x^2}} \, dx\) [2507]
  3.26.8 \(\int \genfrac {}{}{}{}{1}{(2+3 x)^3 \sqrt [3]{28+54 x+27 x^2}} \, dx\) [2508]
  3.26.9 \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt [3]{-c^2 d^2+b c d e+2 b^2 e^2+9 b c e^2 x+9 c^2 e^2 x^2}} \, dx\) [2509]
  3.26.10 \(\int (d+e x)^3 \sqrt [4]{a+b x+c x^2} \, dx\) [2510]
  3.26.11 \(\int (d+e x)^2 \sqrt [4]{a+b x+c x^2} \, dx\) [2511]
  3.26.12 \(\int (d+e x) \sqrt [4]{a+b x+c x^2} \, dx\) [2512]
  3.26.13 \(\int \sqrt [4]{a+b x+c x^2} \, dx\) [2513]
  3.26.14 \(\int \genfrac {}{}{}{}{\sqrt [4]{a+b x+c x^2}}{d+e x} \, dx\) [2514]
  3.26.15 \(\int \genfrac {}{}{}{}{\sqrt [4]{a+b x+c x^2}}{(d+e x)^2} \, dx\) [2515]
  3.26.16 \(\int (d+e x)^3 (a+b x+c x^2)^{3/4} \, dx\) [2516]
  3.26.17 \(\int (d+e x)^2 (a+b x+c x^2)^{3/4} \, dx\) [2517]
  3.26.18 \(\int (d+e x) (a+b x+c x^2)^{3/4} \, dx\) [2518]
  3.26.19 \(\int (a+b x+c x^2)^{3/4} \, dx\) [2519]
  3.26.20 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/4}}{d+e x} \, dx\) [2520]
  3.26.21 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/4}}{(d+e x)^2} \, dx\) [2521]
  3.26.22 \(\int (d+e x)^3 (a+b x+c x^2)^{5/4} \, dx\) [2522]
  3.26.23 \(\int (d+e x)^2 (a+b x+c x^2)^{5/4} \, dx\) [2523]
  3.26.24 \(\int (d+e x) (a+b x+c x^2)^{5/4} \, dx\) [2524]
  3.26.25 \(\int (a+b x+c x^2)^{5/4} \, dx\) [2525]
  3.26.26 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/4}}{d+e x} \, dx\) [2526]
  3.26.27 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/4}}{(d+e x)^2} \, dx\) [2527]
  3.26.28 \(\int \genfrac {}{}{}{}{(d+e x)^3}{\sqrt [4]{a+b x+c x^2}} \, dx\) [2528]
  3.26.29 \(\int \genfrac {}{}{}{}{(d+e x)^2}{\sqrt [4]{a+b x+c x^2}} \, dx\) [2529]
  3.26.30 \(\int \genfrac {}{}{}{}{d+e x}{\sqrt [4]{a+b x+c x^2}} \, dx\) [2530]
  3.26.31 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x+c x^2}} \, dx\) [2531]
  3.26.32 \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt [4]{a+b x+c x^2}} \, dx\) [2532]
  3.26.33 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 \sqrt [4]{a+b x+c x^2}} \, dx\) [2533]
  3.26.34 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 \sqrt [4]{a+b x+c x^2}} \, dx\) [2534]
  3.26.35 \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{3/4}} \, dx\) [2535]
  3.26.36 \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{3/4}} \, dx\) [2536]
  3.26.37 \(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{3/4}} \, dx\) [2537]
  3.26.38 \(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{3/4}} \, dx\) [2538]
  3.26.39 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{3/4}} \, dx\) [2539]
  3.26.40 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{3/4}} \, dx\) [2540]
  3.26.41 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)^{3/4}} \, dx\) [2541]
  3.26.42 \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{5/4}} \, dx\) [2542]
  3.26.43 \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{5/4}} \, dx\) [2543]
  3.26.44 \(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{5/4}} \, dx\) [2544]
  3.26.45 \(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{5/4}} \, dx\) [2545]
  3.26.46 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{5/4}} \, dx\) [2546]
  3.26.47 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{5/4}} \, dx\) [2547]
  3.26.48 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt [4]{a+b x+c x^2}} \, dx\) [2548]
  3.26.49 \(\int (d+e x)^m (a+b x+c x^2)^4 \, dx\) [2549]
  3.26.50 \(\int (d+e x)^m (a+b x+c x^2)^3 \, dx\) [2550]
  3.26.51 \(\int (d+e x)^m (a+b x+c x^2)^2 \, dx\) [2551]
  3.26.52 \(\int (d+e x)^m (a+b x+c x^2) \, dx\) [2552]
  3.26.53 \(\int \genfrac {}{}{}{}{(d+e x)^m}{a+b x+c x^2} \, dx\) [2553]
  3.26.54 \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a+b x+c x^2)^2} \, dx\) [2554]
  3.26.55 \(\int (d+e x)^m (a+b x+c x^2)^{5/2} \, dx\) [2555]
  3.26.56 \(\int (d+e x)^m (a+b x+c x^2)^{3/2} \, dx\) [2556]
  3.26.57 \(\int (d+e x)^m \sqrt {a+b x+c x^2} \, dx\) [2557]
  3.26.58 \(\int \genfrac {}{}{}{}{(d+e x)^m}{\sqrt {a+b x+c x^2}} \, dx\) [2558]
  3.26.59 \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a+b x+c x^2)^{3/2}} \, dx\) [2559]
  3.26.60 \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a+b x+c x^2)^{5/2}} \, dx\) [2560]
  3.26.61 \(\int (d x)^m (a+b x+c x^2)^p \, dx\) [2561]
  3.26.62 \(\int (d+e x)^m (a+b x+c x^2)^p \, dx\) [2562]
  3.26.63 \(\int (d+e x)^3 (a+b x+c x^2)^p \, dx\) [2563]
  3.26.64 \(\int (d+e x)^2 (a+b x+c x^2)^p \, dx\) [2564]
  3.26.65 \(\int (d+e x) (a+b x+c x^2)^p \, dx\) [2565]
  3.26.66 \(\int (a+b x+c x^2)^p \, dx\) [2566]
  3.26.67 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{d+e x} \, dx\) [2567]
  3.26.68 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(d+e x)^2} \, dx\) [2568]
  3.26.69 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(d+e x)^3} \, dx\) [2569]
  3.26.70 \(\int (d+e x)^{3/2} (a+b x+c x^2)^p \, dx\) [2570]
  3.26.71 \(\int \sqrt {d+e x} (a+b x+c x^2)^p \, dx\) [2571]
  3.26.72 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{\sqrt {d+e x}} \, dx\) [2572]
  3.26.73 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(d+e x)^{3/2}} \, dx\) [2573]
  3.26.74 \(\int (d+e x)^{-2 p} (a+b x+c x^2)^p \, dx\) [2574]
  3.26.75 \(\int (d+e x)^{-1-2 p} (a+b x+c x^2)^p \, dx\) [2575]
  3.26.76 \(\int (d+e x)^{-2-2 p} (a+b x+c x^2)^p \, dx\) [2576]
  3.26.77 \(\int (d+e x)^{-3-2 p} (a+b x+c x^2)^p \, dx\) [2577]
  3.26.78 \(\int (d+e x)^{-4-2 p} (a+b x+c x^2)^p \, dx\) [2578]
  3.26.79 \(\int (d+e x)^{-5-2 p} (a+b x+c x^2)^p \, dx\) [2579]
  3.26.80 \(\int (d+e x)^{-6-2 p} (a+b x+c x^2)^p \, dx\) [2580]
  3.26.81 \(\int (d+e x)^m (a+b x+c x^2)^{-2-\genfrac {}{}{}{}{m}{2}} \, dx\) [2581]
  3.26.82 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1+x} \sqrt [3]{1-x+x^2}} \, dx\) [2582]
  3.26.83 \(\int \genfrac {}{}{}{}{1}{(1+x)^{2/3} (1-x+x^2)^{2/3}} \, dx\) [2583]
  3.26.84 \(\int (1+x)^p (1-x+x^2)^p \, dx\) [2584]
  3.26.85 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1-x} \sqrt [3]{1+x+x^2}} \, dx\) [2585]
  3.26.86 \(\int \genfrac {}{}{}{}{1}{(1-x)^{2/3} (1+x+x^2)^{2/3}} \, dx\) [2586]
  3.26.87 \(\int (1-x)^p (1+x+x^2)^p \, dx\) [2587]
  3.26.88 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b e-c e x} \sqrt [3]{b^2+b c x+c^2 x^2}} \, dx\) [2588]
  3.26.89 \(\int \genfrac {}{}{}{}{1}{(b e-c e x)^{2/3} (b^2+b c x+c^2 x^2)^{2/3}} \, dx\) [2589]
  3.26.90 \(\int (b e-c e x)^p (b^2+b c x+c^2 x^2)^p \, dx\) [2590]