3.26 Integrals 2501 to 2590

   \(\int \genfrac {}{}{}{}{1}{(2+3 x)^2 \sqrt [3]{52-54 x+27 x^2}} \, dx\) [2501]
   \(\int \genfrac {}{}{}{}{1}{(2+3 x)^3 \sqrt [3]{52-54 x+27 x^2}} \, dx\) [2502]
   \(\int \genfrac {}{}{}{}{(2+3 x)^3}{\sqrt [3]{28+54 x+27 x^2}} \, dx\) [2503]
   \(\int \genfrac {}{}{}{}{(2+3 x)^2}{\sqrt [3]{28+54 x+27 x^2}} \, dx\) [2504]
   \(\int \genfrac {}{}{}{}{2+3 x}{\sqrt [3]{28+54 x+27 x^2}} \, dx\) [2505]
   \(\int \genfrac {}{}{}{}{1}{(2+3 x) \sqrt [3]{28+54 x+27 x^2}} \, dx\) [2506]
   \(\int \genfrac {}{}{}{}{1}{(2+3 x)^2 \sqrt [3]{28+54 x+27 x^2}} \, dx\) [2507]
   \(\int \genfrac {}{}{}{}{1}{(2+3 x)^3 \sqrt [3]{28+54 x+27 x^2}} \, dx\) [2508]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt [3]{-c^2 d^2+b c d e+2 b^2 e^2+9 b c e^2 x+9 c^2 e^2 x^2}} \, dx\) [2509]
   \(\int (d+e x)^3 \sqrt [4]{a+b x+c x^2} \, dx\) [2510]
   \(\int (d+e x)^2 \sqrt [4]{a+b x+c x^2} \, dx\) [2511]
   \(\int (d+e x) \sqrt [4]{a+b x+c x^2} \, dx\) [2512]
   \(\int \sqrt [4]{a+b x+c x^2} \, dx\) [2513]
   \(\int \genfrac {}{}{}{}{\sqrt [4]{a+b x+c x^2}}{d+e x} \, dx\) [2514]
   \(\int \genfrac {}{}{}{}{\sqrt [4]{a+b x+c x^2}}{(d+e x)^2} \, dx\) [2515]
   \(\int (d+e x)^3 (a+b x+c x^2)^{3/4} \, dx\) [2516]
   \(\int (d+e x)^2 (a+b x+c x^2)^{3/4} \, dx\) [2517]
   \(\int (d+e x) (a+b x+c x^2)^{3/4} \, dx\) [2518]
   \(\int (a+b x+c x^2)^{3/4} \, dx\) [2519]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/4}}{d+e x} \, dx\) [2520]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/4}}{(d+e x)^2} \, dx\) [2521]
   \(\int (d+e x)^3 (a+b x+c x^2)^{5/4} \, dx\) [2522]
   \(\int (d+e x)^2 (a+b x+c x^2)^{5/4} \, dx\) [2523]
   \(\int (d+e x) (a+b x+c x^2)^{5/4} \, dx\) [2524]
   \(\int (a+b x+c x^2)^{5/4} \, dx\) [2525]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/4}}{d+e x} \, dx\) [2526]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/4}}{(d+e x)^2} \, dx\) [2527]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{\sqrt [4]{a+b x+c x^2}} \, dx\) [2528]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{\sqrt [4]{a+b x+c x^2}} \, dx\) [2529]
   \(\int \genfrac {}{}{}{}{d+e x}{\sqrt [4]{a+b x+c x^2}} \, dx\) [2530]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x+c x^2}} \, dx\) [2531]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt [4]{a+b x+c x^2}} \, dx\) [2532]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 \sqrt [4]{a+b x+c x^2}} \, dx\) [2533]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 \sqrt [4]{a+b x+c x^2}} \, dx\) [2534]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{3/4}} \, dx\) [2535]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{3/4}} \, dx\) [2536]
   \(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{3/4}} \, dx\) [2537]
   \(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{3/4}} \, dx\) [2538]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{3/4}} \, dx\) [2539]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{3/4}} \, dx\) [2540]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)^{3/4}} \, dx\) [2541]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{5/4}} \, dx\) [2542]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{5/4}} \, dx\) [2543]
   \(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{5/4}} \, dx\) [2544]
   \(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{5/4}} \, dx\) [2545]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{5/4}} \, dx\) [2546]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{5/4}} \, dx\) [2547]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt [4]{a+b x+c x^2}} \, dx\) [2548]
   \(\int (d+e x)^m (a+b x+c x^2)^4 \, dx\) [2549]
   \(\int (d+e x)^m (a+b x+c x^2)^3 \, dx\) [2550]
   \(\int (d+e x)^m (a+b x+c x^2)^2 \, dx\) [2551]
   \(\int (d+e x)^m (a+b x+c x^2) \, dx\) [2552]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{a+b x+c x^2} \, dx\) [2553]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a+b x+c x^2)^2} \, dx\) [2554]
   \(\int (d+e x)^m (a+b x+c x^2)^{5/2} \, dx\) [2555]
   \(\int (d+e x)^m (a+b x+c x^2)^{3/2} \, dx\) [2556]
   \(\int (d+e x)^m \sqrt {a+b x+c x^2} \, dx\) [2557]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{\sqrt {a+b x+c x^2}} \, dx\) [2558]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a+b x+c x^2)^{3/2}} \, dx\) [2559]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a+b x+c x^2)^{5/2}} \, dx\) [2560]
   \(\int (d x)^m (a+b x+c x^2)^p \, dx\) [2561]
   \(\int (d+e x)^m (a+b x+c x^2)^p \, dx\) [2562]
   \(\int (d+e x)^3 (a+b x+c x^2)^p \, dx\) [2563]
   \(\int (d+e x)^2 (a+b x+c x^2)^p \, dx\) [2564]
   \(\int (d+e x) (a+b x+c x^2)^p \, dx\) [2565]
   \(\int (a+b x+c x^2)^p \, dx\) [2566]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{d+e x} \, dx\) [2567]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(d+e x)^2} \, dx\) [2568]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(d+e x)^3} \, dx\) [2569]
   \(\int (d+e x)^{3/2} (a+b x+c x^2)^p \, dx\) [2570]
   \(\int \sqrt {d+e x} (a+b x+c x^2)^p \, dx\) [2571]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{\sqrt {d+e x}} \, dx\) [2572]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(d+e x)^{3/2}} \, dx\) [2573]
   \(\int (d+e x)^{-2 p} (a+b x+c x^2)^p \, dx\) [2574]
   \(\int (d+e x)^{-1-2 p} (a+b x+c x^2)^p \, dx\) [2575]
   \(\int (d+e x)^{-2-2 p} (a+b x+c x^2)^p \, dx\) [2576]
   \(\int (d+e x)^{-3-2 p} (a+b x+c x^2)^p \, dx\) [2577]
   \(\int (d+e x)^{-4-2 p} (a+b x+c x^2)^p \, dx\) [2578]
   \(\int (d+e x)^{-5-2 p} (a+b x+c x^2)^p \, dx\) [2579]
   \(\int (d+e x)^{-6-2 p} (a+b x+c x^2)^p \, dx\) [2580]
   \(\int (d+e x)^m (a+b x+c x^2)^{-2-\genfrac {}{}{}{}{m}{2}} \, dx\) [2581]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1+x} \sqrt [3]{1-x+x^2}} \, dx\) [2582]
   \(\int \genfrac {}{}{}{}{1}{(1+x)^{2/3} (1-x+x^2)^{2/3}} \, dx\) [2583]
   \(\int (1+x)^p (1-x+x^2)^p \, dx\) [2584]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1-x} \sqrt [3]{1+x+x^2}} \, dx\) [2585]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{2/3} (1+x+x^2)^{2/3}} \, dx\) [2586]
   \(\int (1-x)^p (1+x+x^2)^p \, dx\) [2587]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b e-c e x} \sqrt [3]{b^2+b c x+c^2 x^2}} \, dx\) [2588]
   \(\int \genfrac {}{}{}{}{1}{(b e-c e x)^{2/3} (b^2+b c x+c^2 x^2)^{2/3}} \, dx\) [2589]
   \(\int (b e-c e x)^p (b^2+b c x+c^2 x^2)^p \, dx\) [2590]