3.25 Integrals 2401 to 2500

3.25.1 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}}{x^3} \, dx\) [2401]
3.25.2 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}}{x^4} \, dx\) [2402]
3.25.3 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 x^4 \, dx\) [2403]
3.25.4 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 x^3 \, dx\) [2404]
3.25.5 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 x^2 \, dx\) [2405]
3.25.6 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 x \, dx\) [2406]
3.25.7 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 \, dx\) [2407]
3.25.8 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2}{x} \, dx\) [2408]
3.25.9 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2}{x^2} \, dx\) [2409]
3.25.10 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2}{x^3} \, dx\) [2410]
3.25.11 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2}{x^4} \, dx\) [2411]
3.25.12 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 x^4 \, dx\) [2412]
3.25.13 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 x^3 \, dx\) [2413]
3.25.14 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 x^2 \, dx\) [2414]
3.25.15 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 x \, dx\) [2415]
3.25.16 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 \, dx\) [2416]
3.25.17 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3}{x} \, dx\) [2417]
3.25.18 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3}{x^2} \, dx\) [2418]
3.25.19 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3}{x^3} \, dx\) [2419]
3.25.20 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3}{x^4} \, dx\) [2420]
3.25.21 \(\int \genfrac {}{}{}{}{x^2}{a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}} \, dx\) [2421]
3.25.22 \(\int \genfrac {}{}{}{}{x}{a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}} \, dx\) [2422]
3.25.23 \(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}} \, dx\) [2423]
3.25.24 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) x} \, dx\) [2424]
3.25.25 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) x^2} \, dx\) [2425]
3.25.26 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) x^3} \, dx\) [2426]
3.25.27 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) x^4} \, dx\) [2427]
3.25.28 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) x^5} \, dx\) [2428]
3.25.29 \(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2} \, dx\) [2429]
3.25.30 \(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2} \, dx\) [2430]
3.25.31 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2} \, dx\) [2431]
3.25.32 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 x} \, dx\) [2432]
3.25.33 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 x^2} \, dx\) [2433]
3.25.34 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 x^3} \, dx\) [2434]
3.25.35 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 x^4} \, dx\) [2435]
3.25.36 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^2 x^5} \, dx\) [2436]
3.25.37 \(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3} \, dx\) [2437]
3.25.38 \(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3} \, dx\) [2438]
3.25.39 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3} \, dx\) [2439]
3.25.40 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 x} \, dx\) [2440]
3.25.41 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 x^2} \, dx\) [2441]
3.25.42 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 x^3} \, dx\) [2442]
3.25.43 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 x^4} \, dx\) [2443]
3.25.44 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}})^3 x^5} \, dx\) [2444]
3.25.45 \(\int \genfrac {}{}{}{}{1}{1+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}} \, dx\) [2445]
3.25.46 \(\int x^{2/3} (1+x^{5/3})^{2/3} \, dx\) [2446]
3.25.47 \(\int x^{7/3} (a^{10/3}-x^{10/3})^{19/7} \, dx\) [2447]
3.25.48 \(\int \genfrac {}{}{}{}{1}{1+\sqrt [5]{x}} \, dx\) [2448]
3.25.49 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^{4/5}} \sqrt [5]{x}} \, dx\) [2449]
3.25.50 \(\int (a+\genfrac {}{}{}{}{b}{x^{3/5}})^{2/3} \, dx\) [2450]
3.25.51 \(\int x^3 (a+b x^n) \, dx\) [2451]
3.25.52 \(\int x^2 (a+b x^n) \, dx\) [2452]
3.25.53 \(\int x (a+b x^n) \, dx\) [2453]
3.25.54 \(\int (a+b x^n) \, dx\) [2454]
3.25.55 \(\int \genfrac {}{}{}{}{a+b x^n}{x} \, dx\) [2455]
3.25.56 \(\int \genfrac {}{}{}{}{a+b x^n}{x^2} \, dx\) [2456]
3.25.57 \(\int \genfrac {}{}{}{}{a+b x^n}{x^3} \, dx\) [2457]
3.25.58 \(\int x^3 (a+b x^n)^2 \, dx\) [2458]
3.25.59 \(\int x^2 (a+b x^n)^2 \, dx\) [2459]
3.25.60 \(\int x (a+b x^n)^2 \, dx\) [2460]
3.25.61 \(\int (a+b x^n)^2 \, dx\) [2461]
3.25.62 \(\int \genfrac {}{}{}{}{(a+b x^n)^2}{x} \, dx\) [2462]
3.25.63 \(\int \genfrac {}{}{}{}{(a+b x^n)^2}{x^2} \, dx\) [2463]
3.25.64 \(\int \genfrac {}{}{}{}{(a+b x^n)^2}{x^3} \, dx\) [2464]
3.25.65 \(\int x^3 (a+b x^n)^3 \, dx\) [2465]
3.25.66 \(\int x^2 (a+b x^n)^3 \, dx\) [2466]
3.25.67 \(\int x (a+b x^n)^3 \, dx\) [2467]
3.25.68 \(\int (a+b x^n)^3 \, dx\) [2468]
3.25.69 \(\int \genfrac {}{}{}{}{(a+b x^n)^3}{x} \, dx\) [2469]
3.25.70 \(\int \genfrac {}{}{}{}{(a+b x^n)^3}{x^2} \, dx\) [2470]
3.25.71 \(\int \genfrac {}{}{}{}{(a+b x^n)^3}{x^3} \, dx\) [2471]
3.25.72 \(\int \genfrac {}{}{}{}{x}{a+b x^n} \, dx\) [2472]
3.25.73 \(\int \genfrac {}{}{}{}{1}{a+b x^n} \, dx\) [2473]
3.25.74 \(\int \genfrac {}{}{}{}{1}{x (a+b x^n)} \, dx\) [2474]
3.25.75 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^n)} \, dx\) [2475]
3.25.76 \(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^n)} \, dx\) [2476]
3.25.77 \(\int \genfrac {}{}{}{}{x}{(a+b x^n)^2} \, dx\) [2477]
3.25.78 \(\int \genfrac {}{}{}{}{1}{(a+b x^n)^2} \, dx\) [2478]
3.25.79 \(\int \genfrac {}{}{}{}{1}{x (a+b x^n)^2} \, dx\) [2479]
3.25.80 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^n)^2} \, dx\) [2480]
3.25.81 \(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^n)^2} \, dx\) [2481]
3.25.82 \(\int \genfrac {}{}{}{}{x}{(a+b x^n)^3} \, dx\) [2482]
3.25.83 \(\int \genfrac {}{}{}{}{1}{(a+b x^n)^3} \, dx\) [2483]
3.25.84 \(\int \genfrac {}{}{}{}{1}{x (a+b x^n)^3} \, dx\) [2484]
3.25.85 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^n)^3} \, dx\) [2485]
3.25.86 \(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^n)^3} \, dx\) [2486]
3.25.87 \(\int x \sqrt {a+b x^n} \, dx\) [2487]
3.25.88 \(\int \sqrt {a+b x^n} \, dx\) [2488]
3.25.89 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^n}}{x} \, dx\) [2489]
3.25.90 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^n}}{x^2} \, dx\) [2490]
3.25.91 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^n}}{x^3} \, dx\) [2491]
3.25.92 \(\int x (a+b x^n)^{3/2} \, dx\) [2492]
3.25.93 \(\int (a+b x^n)^{3/2} \, dx\) [2493]
3.25.94 \(\int \genfrac {}{}{}{}{(a+b x^n)^{3/2}}{x} \, dx\) [2494]
3.25.95 \(\int \genfrac {}{}{}{}{(a+b x^n)^{3/2}}{x^2} \, dx\) [2495]
3.25.96 \(\int \genfrac {}{}{}{}{(a+b x^n)^{3/2}}{x^3} \, dx\) [2496]
3.25.97 \(\int x (a+b x^n)^{5/2} \, dx\) [2497]
3.25.98 \(\int (a+b x^n)^{5/2} \, dx\) [2498]
3.25.99 \(\int \genfrac {}{}{}{}{(a+b x^n)^{5/2}}{x} \, dx\) [2499]
3.25.100 \(\int \genfrac {}{}{}{}{(a+b x^n)^{5/2}}{x^2} \, dx\) [2500]