3.25 Integrals 2401 to 2500

   \(\int \genfrac {}{}{}{}{5-4 x}{\sqrt {-8+12 x-4 x^2}} \, dx\) [2401]
   \(\int \genfrac {}{}{}{}{3+2 x}{\sqrt {5+2 x+x^2}} \, dx\) [2402]
   \(\int \genfrac {}{}{}{}{-1+x}{\sqrt {3-4 x+x^2}} \, dx\) [2403]
   \(\int \genfrac {}{}{}{}{1}{(1-x) \sqrt {-4+2 x+x^2}} \, dx\) [2404]
   \(\int \genfrac {}{}{}{}{1}{(-2+x) \sqrt {3-4 x+x^2}} \, dx\) [2405]
   \(\int \genfrac {}{}{}{}{1+x}{(2+3 x+x^2)^{3/2}} \, dx\) [2406]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {\genfrac {}{}{}{}{b^2}{4 c}+b x+c x^2}} \, dx\) [2407]
   \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b e}{2 c}+e x) \sqrt {a+b x+c x^2}} \, dx\) [2408]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {\genfrac {}{}{}{}{-c d^2+b d e}{e^2}+b x+c x^2}} \, dx\) [2409]
   \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b e}{2 c}+e x) \sqrt {\genfrac {}{}{}{}{b^2}{4 c}+b x+c x^2}} \, dx\) [2410]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {2+4 x+3 x^2}} \, dx\) [2411]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {2+4 x-3 x^2}} \, dx\) [2412]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {2+5 x+3 x^2}} \, dx\) [2413]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {2+5 x-3 x^2}} \, dx\) [2414]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {-2+4 x+3 x^2}} \, dx\) [2415]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {-2+4 x-3 x^2}} \, dx\) [2416]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {-2+5 x+3 x^2}} \, dx\) [2417]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {-2+5 x-3 x^2}} \, dx\) [2418]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {4+12 x+9 x^2}} \, dx\) [2419]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {4-12 x+9 x^2}} \, dx\) [2420]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {-4+12 x-9 x^2}} \, dx\) [2421]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {-4-12 x-9 x^2}} \, dx\) [2422]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2423]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {a^2-2 a b x+b^2 x^2}} \, dx\) [2424]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {-a^2+2 a b x-b^2 x^2}} \, dx\) [2425]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {-a^2-2 a b x-b^2 x^2}} \, dx\) [2426]
   \(\int x \sqrt {3-2 x-x^2} \, dx\) [2427]
   \(\int x \sqrt {8+2 x-x^2} \, dx\) [2428]
   \(\int x \sqrt {4+2 x+x^2} \, dx\) [2429]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {2+4 x+3 x^2}} \, dx\) [2430]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {2+4 x-3 x^2}} \, dx\) [2431]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {2+5 x+3 x^2}} \, dx\) [2432]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {2+5 x-3 x^2}} \, dx\) [2433]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {-2+4 x+3 x^2}} \, dx\) [2434]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {-2+4 x-3 x^2}} \, dx\) [2435]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {-2+5 x+3 x^2}} \, dx\) [2436]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {-2+5 x-3 x^2}} \, dx\) [2437]
   \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {1+x+x^2}} \, dx\) [2438]
   \(\int (\genfrac {}{}{}{}{1}{x}-\genfrac {}{}{}{}{1}{x \sqrt {1+b x+c x^2}}) \, dx\) [2439]
   \(\int (d x)^{5/2} \sqrt {a+b x+c x^2} \, dx\) [2440]
   \(\int (d+e x)^{3/2} \sqrt {a+b x+c x^2} \, dx\) [2441]
   \(\int \sqrt {d+e x} \sqrt {a+b x+c x^2} \, dx\) [2442]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{\sqrt {d+e x}} \, dx\) [2443]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^{3/2}} \, dx\) [2444]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^{5/2}} \, dx\) [2445]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^{7/2}} \, dx\) [2446]
   \(\int (d+e x)^{3/2} (a+b x+c x^2)^{3/2} \, dx\) [2447]
   \(\int \sqrt {d+e x} (a+b x+c x^2)^{3/2} \, dx\) [2448]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [2449]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [2450]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [2451]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [2452]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\) [2453]
   \(\int \sqrt {d x} (a+b x+c x^2)^{5/2} \, dx\) [2454]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{\sqrt {d+e x}} \, dx\) [2455]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\) [2456]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [2457]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\) [2458]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^{9/2}} \, dx\) [2459]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^{11/2}} \, dx\) [2460]
   \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{\sqrt {a+b x+c x^2}} \, dx\) [2461]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{\sqrt {a+b x+c x^2}} \, dx\) [2462]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {a+b x+c x^2}} \, dx\) [2463]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {a+b x+c x^2}} \, dx\) [2464]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {a+b x+c x^2}} \, dx\) [2465]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt {a+b x+c x^2}} \, dx\) [2466]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} \sqrt {a+b x+c x^2}} \, dx\) [2467]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} \sqrt {a+b x+c x^2}} \, dx\) [2468]
   \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [2469]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [2470]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [2471]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a+b x+c x^2)^{3/2}} \, dx\) [2472]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a+b x+c x^2)^{3/2}} \, dx\) [2473]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a+b x+c x^2)^{3/2}} \, dx\) [2474]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a+b x+c x^2)^{3/2}} \, dx\) [2475]
   \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [2476]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [2477]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [2478]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a+b x+c x^2)^{5/2}} \, dx\) [2479]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a+b x+c x^2)^{5/2}} \, dx\) [2480]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a+b x+c x^2)^{5/2}} \, dx\) [2481]
   \(\int \genfrac {}{}{}{}{\sqrt {3+5 x}}{\sqrt {2+5 x-12 x^2}} \, dx\) [2482]
   \(\int (d+e x)^2 (a+b x+c x^2)^{4/3} \, dx\) [2483]
   \(\int (d+e x) (a+b x+c x^2)^{4/3} \, dx\) [2484]
   \(\int (a+b x+c x^2)^{4/3} \, dx\) [2485]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{d+e x} \, dx\) [2486]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(d+e x)^2} \, dx\) [2487]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(d+e x)^3} \, dx\) [2488]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{7/3}} \, dx\) [2489]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{7/3}} \, dx\) [2490]
   \(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{7/3}} \, dx\) [2491]
   \(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{7/3}} \, dx\) [2492]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{7/3}} \, dx\) [2493]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{7/3}} \, dx\) [2494]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)^{7/3}} \, dx\) [2495]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt [3]{c^2 d^2-b c d e+b^2 e^2+3 b c e^2 x+3 c^2 e^2 x^2}} \, dx\) [2496]
   \(\int \genfrac {}{}{}{}{(2+3 x)^3}{\sqrt [3]{52-54 x+27 x^2}} \, dx\) [2497]
   \(\int \genfrac {}{}{}{}{(2+3 x)^2}{\sqrt [3]{52-54 x+27 x^2}} \, dx\) [2498]
   \(\int \genfrac {}{}{}{}{2+3 x}{\sqrt [3]{52-54 x+27 x^2}} \, dx\) [2499]
   \(\int \genfrac {}{}{}{}{1}{(2+3 x) \sqrt [3]{52-54 x+27 x^2}} \, dx\) [2500]