3.23.1 \(\int \genfrac {}{}{}{}{x}{(a+b \sqrt {x})^2} \, dx\) [2201]
3.23.2 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^2} \, dx\) [2202]
3.23.3 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^2 x} \, dx\) [2203]
3.23.4 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^2 x^2} \, dx\) [2204]
3.23.5 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^2 x^3} \, dx\) [2205]
3.23.6 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^2 x^4} \, dx\) [2206]
3.23.7 \(\int \genfrac {}{}{}{}{x^3}{(a+b \sqrt {x})^3} \, dx\) [2207]
3.23.8 \(\int \genfrac {}{}{}{}{x^2}{(a+b \sqrt {x})^3} \, dx\) [2208]
3.23.9 \(\int \genfrac {}{}{}{}{x}{(a+b \sqrt {x})^3} \, dx\) [2209]
3.23.10 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^3} \, dx\) [2210]
3.23.11 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^3 x} \, dx\) [2211]
3.23.12 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^3 x^2} \, dx\) [2212]
3.23.13 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^3 x^3} \, dx\) [2213]
3.23.14 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^3 x^4} \, dx\) [2214]
3.23.15 \(\int \genfrac {}{}{}{}{x^4}{(a+b \sqrt {x})^5} \, dx\) [2215]
3.23.16 \(\int \genfrac {}{}{}{}{x^3}{(a+b \sqrt {x})^5} \, dx\) [2216]
3.23.17 \(\int \genfrac {}{}{}{}{x^2}{(a+b \sqrt {x})^5} \, dx\) [2217]
3.23.18 \(\int \genfrac {}{}{}{}{x}{(a+b \sqrt {x})^5} \, dx\) [2218]
3.23.19 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^5} \, dx\) [2219]
3.23.20 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^5 x} \, dx\) [2220]
3.23.21 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^5 x^2} \, dx\) [2221]
3.23.22 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^5 x^3} \, dx\) [2222]
3.23.23 \(\int \genfrac {}{}{}{}{x^5}{(a+b \sqrt {x})^8} \, dx\) [2223]
3.23.24 \(\int \genfrac {}{}{}{}{x^4}{(a+b \sqrt {x})^8} \, dx\) [2224]
3.23.25 \(\int \genfrac {}{}{}{}{x^3}{(a+b \sqrt {x})^8} \, dx\) [2225]
3.23.26 \(\int \genfrac {}{}{}{}{x^2}{(a+b \sqrt {x})^8} \, dx\) [2226]
3.23.27 \(\int \genfrac {}{}{}{}{x}{(a+b \sqrt {x})^8} \, dx\) [2227]
3.23.28 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^8} \, dx\) [2228]
3.23.29 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^8 x} \, dx\) [2229]
3.23.30 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^8 x^2} \, dx\) [2230]
3.23.31 \(\int \genfrac {}{}{}{}{1}{(a+b \sqrt {x})^8 x^3} \, dx\) [2231]
3.23.32 \(\int \genfrac {}{}{}{}{1}{(2+b \sqrt {x}) x} \, dx\) [2232]
3.23.33 \(\int \sqrt {a+b \sqrt {x}} x^2 \, dx\) [2233]
3.23.34 \(\int \sqrt {a+b \sqrt {x}} x \, dx\) [2234]
3.23.35 \(\int \sqrt {a+b \sqrt {x}} \, dx\) [2235]
3.23.36 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {x}}}{x} \, dx\) [2236]
3.23.37 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {x}}}{x^2} \, dx\) [2237]
3.23.38 \(\int \genfrac {}{}{}{}{\sqrt {a+b \sqrt {x}}}{x^3} \, dx\) [2238]
3.23.39 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b \sqrt {x}}} \, dx\) [2239]
3.23.40 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+b \sqrt {x}}} \, dx\) [2240]
3.23.41 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {x}}} \, dx\) [2241]
3.23.42 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {x}} x} \, dx\) [2242]
3.23.43 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {x}} x^2} \, dx\) [2243]
3.23.44 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sqrt {x}} x^3} \, dx\) [2244]
3.23.45 \(\int (a+b \sqrt {x})^n \sqrt {x} \, dx\) [2245]
3.23.46 \(\int \genfrac {}{}{}{}{(a+b \sqrt {x})^n}{\sqrt {x}} \, dx\) [2246]
3.23.47 \(\int \genfrac {}{}{}{}{1+\sqrt {x}}{\sqrt {x}} \, dx\) [2247]
3.23.48 \(\int \genfrac {}{}{}{}{(1+\sqrt {x})^2}{\sqrt {x}} \, dx\) [2248]
3.23.49 \(\int \genfrac {}{}{}{}{(1+\sqrt {x})^3}{\sqrt {x}} \, dx\) [2249]
3.23.50 \(\int \genfrac {}{}{}{}{\sqrt {x}}{1+\sqrt {x}} \, dx\) [2250]
3.23.51 \(\int \genfrac {}{}{}{}{1}{(1+\sqrt {x}) \sqrt {x}} \, dx\) [2251]
3.23.52 \(\int \genfrac {}{}{}{}{1}{(1+\sqrt {x})^2 \sqrt {x}} \, dx\) [2252]
3.23.53 \(\int \genfrac {}{}{}{}{1}{(1+\sqrt {x})^3 \sqrt {x}} \, dx\) [2253]
3.23.54 \(\int \sqrt {1+\sqrt {x}} \sqrt {x} \, dx\) [2254]
3.23.55 \(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {x}}}{\sqrt {x}} \, dx\) [2255]
3.23.56 \(\int \genfrac {}{}{}{}{\sqrt [3]{x}}{1+\sqrt {x}} \, dx\) [2256]
3.23.57 \(\int (a+b \sqrt {x})^4 x^m \, dx\) [2257]
3.23.58 \(\int (a+b \sqrt {x})^3 x^m \, dx\) [2258]
3.23.59 \(\int (a+b \sqrt {x})^2 x^m \, dx\) [2259]
3.23.60 \(\int (a+b \sqrt {x}) x^m \, dx\) [2260]
3.23.61 \(\int \genfrac {}{}{}{}{x^m}{a+b \sqrt {x}} \, dx\) [2261]
3.23.62 \(\int \genfrac {}{}{}{}{x^m}{(a+b \sqrt {x})^2} \, dx\) [2262]
3.23.63 \(\int (a+b \sqrt {x})^p x^m \, dx\) [2263]
3.23.64 \(\int (a+b \sqrt {x})^p x^3 \, dx\) [2264]
3.23.65 \(\int (a+b \sqrt {x})^p x^2 \, dx\) [2265]
3.23.66 \(\int (a+b \sqrt {x})^p x \, dx\) [2266]
3.23.67 \(\int (a+b \sqrt {x})^p \, dx\) [2267]
3.23.68 \(\int \genfrac {}{}{}{}{(a+b \sqrt {x})^p}{x} \, dx\) [2268]
3.23.69 \(\int \genfrac {}{}{}{}{(a+b \sqrt {x})^p}{x^2} \, dx\) [2269]
3.23.70 \(\int \genfrac {}{}{}{}{\sqrt {x}}{1+x^{3/2}} \, dx\) [2270]
3.23.71 \(\int \genfrac {}{}{}{}{x^3}{(a+b x^{3/2})^{2/3}} \, dx\) [2271]
3.23.72 \(\int \genfrac {}{}{}{}{1}{(a+b x^{3/2})^{2/3}} \, dx\) [2272]
3.23.73 \(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^{3/2})^{2/3}} \, dx\) [2273]
3.23.74 \(\int \genfrac {}{}{}{}{1}{x^6 (a+b x^{3/2})^{2/3}} \, dx\) [2274]
3.23.75 \(\int \genfrac {}{}{}{}{1}{x^9 (a+b x^{3/2})^{2/3}} \, dx\) [2275]
3.23.76 \(\int \genfrac {}{}{}{}{x^8}{(a+b x^{3/2})^{2/3}} \, dx\) [2276]
3.23.77 \(\int \genfrac {}{}{}{}{x^5}{(a+b x^{3/2})^{2/3}} \, dx\) [2277]
3.23.78 \(\int \genfrac {}{}{}{}{x^2}{(a+b x^{3/2})^{2/3}} \, dx\) [2278]
3.23.79 \(\int \genfrac {}{}{}{}{1}{x (a+b x^{3/2})^{2/3}} \, dx\) [2279]
3.23.80 \(\int \genfrac {}{}{}{}{1}{x^4 (a+b x^{3/2})^{2/3}} \, dx\) [2280]
3.23.81 \(\int \genfrac {}{}{}{}{x^4}{(a+b x^{3/2})^{2/3}} \, dx\) [2281]
3.23.82 \(\int \genfrac {}{}{}{}{x}{(a+b x^{3/2})^{2/3}} \, dx\) [2282]
3.23.83 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^{3/2})^{2/3}} \, dx\) [2283]
3.23.84 \(\int \genfrac {}{}{}{}{1}{x^5 (a+b x^{3/2})^{2/3}} \, dx\) [2284]
3.23.85 \(\int (a+b \sqrt [3]{x}) x^4 \, dx\) [2285]
3.23.86 \(\int (a+b \sqrt [3]{x}) x^3 \, dx\) [2286]
3.23.87 \(\int (a+b \sqrt [3]{x}) x^2 \, dx\) [2287]
3.23.88 \(\int (a+b \sqrt [3]{x}) x \, dx\) [2288]
3.23.89 \(\int (a+b \sqrt [3]{x}) \, dx\) [2289]
3.23.90 \(\int \genfrac {}{}{}{}{a+b \sqrt [3]{x}}{x} \, dx\) [2290]
3.23.91 \(\int \genfrac {}{}{}{}{a+b \sqrt [3]{x}}{x^2} \, dx\) [2291]
3.23.92 \(\int \genfrac {}{}{}{}{a+b \sqrt [3]{x}}{x^3} \, dx\) [2292]
3.23.93 \(\int \genfrac {}{}{}{}{a+b \sqrt [3]{x}}{x^4} \, dx\) [2293]
3.23.94 \(\int (a+b \sqrt [3]{x})^2 x^4 \, dx\) [2294]
3.23.95 \(\int (a+b \sqrt [3]{x})^2 x^3 \, dx\) [2295]
3.23.96 \(\int (a+b \sqrt [3]{x})^2 x^2 \, dx\) [2296]
3.23.97 \(\int (a+b \sqrt [3]{x})^2 x \, dx\) [2297]
3.23.98 \(\int (a+b \sqrt [3]{x})^2 \, dx\) [2298]
3.23.99 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^2}{x} \, dx\) [2299]
3.23.100 \(\int \genfrac {}{}{}{}{(a+b \sqrt [3]{x})^2}{x^2} \, dx\) [2300]