3.24 Integrals 2301 to 2400

3.24.1 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^2}{x^3} \, dx\) [2301]
3.24.2 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^2}{x^4} \, dx\) [2302]
3.24.3 \(\int (a+b \sqrt [3]{x})^3 x^4 \, dx\) [2303]
3.24.4 \(\int (a+b \sqrt [3]{x})^3 x^3 \, dx\) [2304]
3.24.5 \(\int (a+b \sqrt [3]{x})^3 x^2 \, dx\) [2305]
3.24.6 \(\int (a+b \sqrt [3]{x})^3 x \, dx\) [2306]
3.24.7 \(\int (a+b \sqrt [3]{x})^3 \, dx\) [2307]
3.24.8 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^3}{x} \, dx\) [2308]
3.24.9 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^3}{x^2} \, dx\) [2309]
3.24.10 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^3}{x^3} \, dx\) [2310]
3.24.11 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^3}{x^4} \, dx\) [2311]
3.24.12 \(\int (a+b \sqrt [3]{x})^5 x^4 \, dx\) [2312]
3.24.13 \(\int (a+b \sqrt [3]{x})^5 x^3 \, dx\) [2313]
3.24.14 \(\int (a+b \sqrt [3]{x})^5 x^2 \, dx\) [2314]
3.24.15 \(\int (a+b \sqrt [3]{x})^5 x \, dx\) [2315]
3.24.16 \(\int (a+b \sqrt [3]{x})^5 \, dx\) [2316]
3.24.17 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^5}{x} \, dx\) [2317]
3.24.18 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^5}{x^2} \, dx\) [2318]
3.24.19 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^5}{x^3} \, dx\) [2319]
3.24.20 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^5}{x^4} \, dx\) [2320]
3.24.21 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^5}{x^5} \, dx\) [2321]
3.24.22 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^5}{x^6} \, dx\) [2322]
3.24.23 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^5}{x^7} \, dx\) [2323]
3.24.24 \(\int (a+b \sqrt [3]{x})^{10} x^4 \, dx\) [2324]
3.24.25 \(\int (a+b \sqrt [3]{x})^{10} x^3 \, dx\) [2325]
3.24.26 \(\int (a+b \sqrt [3]{x})^{10} x^2 \, dx\) [2326]
3.24.27 \(\int (a+b \sqrt [3]{x})^{10} x \, dx\) [2327]
3.24.28 \(\int (a+b \sqrt [3]{x})^{10} \, dx\) [2328]
3.24.29 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{10}}{x} \, dx\) [2329]
3.24.30 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{10}}{x^2} \, dx\) [2330]
3.24.31 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{10}}{x^3} \, dx\) [2331]
3.24.32 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{10}}{x^4} \, dx\) [2332]
3.24.33 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{10}}{x^5} \, dx\) [2333]
3.24.34 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{10}}{x^6} \, dx\) [2334]
3.24.35 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{10}}{x^7} \, dx\) [2335]
3.24.36 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{10}}{x^8} \, dx\) [2336]
3.24.37 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{10}}{x^9} \, dx\) [2337]
3.24.38 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{10}}{x^{10}} \, dx\) [2338]
3.24.39 \(\int (a+b \sqrt [3]{x})^{15} x^5 \, dx\) [2339]
3.24.40 \(\int (a+b \sqrt [3]{x})^{15} x^4 \, dx\) [2340]
3.24.41 \(\int (a+b \sqrt [3]{x})^{15} x^3 \, dx\) [2341]
3.24.42 \(\int (a+b \sqrt [3]{x})^{15} x^2 \, dx\) [2342]
3.24.43 \(\int (a+b \sqrt [3]{x})^{15} x \, dx\) [2343]
3.24.44 \(\int (a+b \sqrt [3]{x})^{15} \, dx\) [2344]
3.24.45 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x} \, dx\) [2345]
3.24.46 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x^2} \, dx\) [2346]
3.24.47 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x^3} \, dx\) [2347]
3.24.48 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x^4} \, dx\) [2348]
3.24.49 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x^6} \, dx\) [2349]
3.24.50 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x^7} \, dx\) [2350]
3.24.51 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x^8} \, dx\) [2351]
3.24.52 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x^9} \, dx\) [2352]
3.24.53 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x^{10}} \, dx\) [2353]
3.24.54 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x^{11}} \, dx\) [2354]
3.24.55 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^{15}}{x^{12}} \, dx\) [2355]
3.24.56 \(\int \genfrac {}{}{}{}{x^3}{a+b \sqrt [3]{x}} \, dx\) [2356]
3.24.57 \(\int \genfrac {}{}{}{}{x^2}{a+b \sqrt [3]{x}} \, dx\) [2357]
3.24.58 \(\int \genfrac {}{}{}{}{x}{a+b \sqrt [3]{x}} \, dx\) [2358]
3.24.59 \(\int \genfrac {}{}{}{}{1}{a+b \sqrt [3]{x}} \, dx\) [2359]
3.24.60 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x}) x} \, dx\) [2360]
3.24.61 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x}) x^2} \, dx\) [2361]
3.24.62 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x}) x^3} \, dx\) [2362]
3.24.63 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x}) x^4} \, dx\) [2363]
3.24.64 \(\int \genfrac {}{}{}{}{1}{(2+b \sqrt [3]{x}) x} \, dx\) [2364]
3.24.65 \(\int \genfrac {}{}{}{}{x^3}{(a+b \sqrt [3]{x})^2} \, dx\) [2365]
3.24.66 \(\int \genfrac {}{}{}{}{x^2}{(a+b \sqrt [3]{x})^2} \, dx\) [2366]
3.24.67 \(\int \genfrac {}{}{}{}{x}{(a+b \sqrt [3]{x})^2} \, dx\) [2367]
3.24.68 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^2} \, dx\) [2368]
3.24.69 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^2 x} \, dx\) [2369]
3.24.70 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^2 x^2} \, dx\) [2370]
3.24.71 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^2 x^3} \, dx\) [2371]
3.24.72 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^2 x^4} \, dx\) [2372]
3.24.73 \(\int \genfrac {}{}{}{}{x^3}{(a+b \sqrt [3]{x})^3} \, dx\) [2373]
3.24.74 \(\int \genfrac {}{}{}{}{x^2}{(a+b \sqrt [3]{x})^3} \, dx\) [2374]
3.24.75 \(\int \genfrac {}{}{}{}{x}{(a+b \sqrt [3]{x})^3} \, dx\) [2375]
3.24.76 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^3} \, dx\) [2376]
3.24.77 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^3 x} \, dx\) [2377]
3.24.78 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^3 x^2} \, dx\) [2378]
3.24.79 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^3 x^3} \, dx\) [2379]
3.24.80 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt [3]{x})^3 x^4} \, dx\) [2380]
3.24.81 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\sqrt [3]{x}}} \, dx\) [2381]
3.24.82 \(\int \genfrac {}{}{}{}{1}{(1+\sqrt [3]{x}) x^{3/2}} \, dx\) [2382]
3.24.83 \(\int \genfrac {}{}{}{}{x^{2/3}}{1+\sqrt [3]{x}} \, dx\) [2383]
3.24.84 \(\int \genfrac {}{}{}{}{1}{1+x^{2/3}} \, dx\) [2384]
3.24.85 \(\int \genfrac {}{}{}{}{1}{(1+x^{2/3}) \sqrt [3]{x}} \, dx\) [2385]
3.24.86 \(\int \genfrac {}{}{}{}{1}{(1+x^{2/3}) x^{2/3}} \, dx\) [2386]
3.24.87 \(\int \genfrac {}{}{}{}{\sqrt {-1+x^{2/3}}}{\sqrt [3]{x}} \, dx\) [2387]
3.24.88 \(\int \genfrac {}{}{}{}{(1+x^{2/3})^{3/2}}{\sqrt [3]{x}} \, dx\) [2388]
3.24.89 \(\int \genfrac {}{}{}{}{\sqrt {x}}{1+x^{2/3}} \, dx\) [2389]
3.24.90 \(\int \genfrac {}{}{}{}{\sqrt [3]{x}}{-1+x^{5/6}} \, dx\) [2390]
3.24.91 \(\int \sqrt {3-\genfrac {}{}{}{}{1}{\sqrt {x}}} \, dx\) [2391]
3.24.92 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\genfrac {}{}{}{}{1}{\sqrt {x}}}} \, dx\) [2392]
3.24.93 \(\int (a+\genfrac {}{}{}{}{b}{x^{3/2}})^{2/3} \, dx\) [2393]
3.24.94 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) x^4 \, dx\) [2394]
3.24.95 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) x^3 \, dx\) [2395]
3.24.96 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) x^2 \, dx\) [2396]
3.24.97 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) x \, dx\) [2397]
3.24.98 \(\int (a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}) \, dx\) [2398]
3.24.99 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}}{x} \, dx\) [2399]
3.24.100 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{\sqrt [3]{x}}}{x^2} \, dx\) [2400]