3.3.1 \(\int \genfrac {}{}{}{}{1}{x^3 (b x^{2/3}+a x)^{3/2}} \, dx\) [201]
3.3.2 \(\int \genfrac {}{}{}{}{1}{x^4 (b x^{2/3}+a x)^{3/2}} \, dx\) [202]
3.3.3 \(\int x^2 (a x^2+b x^3) \, dx\) [203]
3.3.4 \(\int x (a x^2+b x^3) \, dx\) [204]
3.3.5 \(\int (a x^2+b x^3) \, dx\) [205]
3.3.6 \(\int \genfrac {}{}{}{}{a x^2+b x^3}{x} \, dx\) [206]
3.3.7 \(\int \genfrac {}{}{}{}{a x^2+b x^3}{x^2} \, dx\) [207]
3.3.8 \(\int x^2 (a x^2+b x^3)^2 \, dx\) [208]
3.3.9 \(\int x (a x^2+b x^3)^2 \, dx\) [209]
3.3.10 \(\int (a x^2+b x^3)^2 \, dx\) [210]
3.3.11 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^2}{x} \, dx\) [211]
3.3.12 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^2}{x^2} \, dx\) [212]
3.3.13 \(\int \genfrac {}{}{}{}{x^6}{a x^2+b x^3} \, dx\) [213]
3.3.14 \(\int \genfrac {}{}{}{}{x^5}{a x^2+b x^3} \, dx\) [214]
3.3.15 \(\int \genfrac {}{}{}{}{x^4}{a x^2+b x^3} \, dx\) [215]
3.3.16 \(\int \genfrac {}{}{}{}{x^3}{a x^2+b x^3} \, dx\) [216]
3.3.17 \(\int \genfrac {}{}{}{}{x^2}{a x^2+b x^3} \, dx\) [217]
3.3.18 \(\int \genfrac {}{}{}{}{x}{a x^2+b x^3} \, dx\) [218]
3.3.19 \(\int \genfrac {}{}{}{}{1}{a x^2+b x^3} \, dx\) [219]
3.3.20 \(\int \genfrac {}{}{}{}{1}{x (a x^2+b x^3)} \, dx\) [220]
3.3.21 \(\int \genfrac {}{}{}{}{1}{x^2 (a x^2+b x^3)} \, dx\) [221]
3.3.22 \(\int \genfrac {}{}{}{}{x^8}{(a x^2+b x^3)^2} \, dx\) [222]
3.3.23 \(\int \genfrac {}{}{}{}{x^7}{(a x^2+b x^3)^2} \, dx\) [223]
3.3.24 \(\int \genfrac {}{}{}{}{x^6}{(a x^2+b x^3)^2} \, dx\) [224]
3.3.25 \(\int \genfrac {}{}{}{}{x^5}{(a x^2+b x^3)^2} \, dx\) [225]
3.3.26 \(\int \genfrac {}{}{}{}{x^4}{(a x^2+b x^3)^2} \, dx\) [226]
3.3.27 \(\int \genfrac {}{}{}{}{x^3}{(a x^2+b x^3)^2} \, dx\) [227]
3.3.28 \(\int \genfrac {}{}{}{}{x^2}{(a x^2+b x^3)^2} \, dx\) [228]
3.3.29 \(\int \genfrac {}{}{}{}{x}{(a x^2+b x^3)^2} \, dx\) [229]
3.3.30 \(\int \genfrac {}{}{}{}{1}{(a x^2+b x^3)^2} \, dx\) [230]
3.3.31 \(\int \genfrac {}{}{}{}{1}{x (a x^2+b x^3)^2} \, dx\) [231]
3.3.32 \(\int x^2 \sqrt {a x^2+b x^3} \, dx\) [232]
3.3.33 \(\int x \sqrt {a x^2+b x^3} \, dx\) [233]
3.3.34 \(\int \sqrt {a x^2+b x^3} \, dx\) [234]
3.3.35 \(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{x} \, dx\) [235]
3.3.36 \(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{x^2} \, dx\) [236]
3.3.37 \(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{x^3} \, dx\) [237]
3.3.38 \(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{x^4} \, dx\) [238]
3.3.39 \(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x^3}}{x^5} \, dx\) [239]
3.3.40 \(\int x^2 (a x^2+b x^3)^{3/2} \, dx\) [240]
3.3.41 \(\int x (a x^2+b x^3)^{3/2} \, dx\) [241]
3.3.42 \(\int (a x^2+b x^3)^{3/2} \, dx\) [242]
3.3.43 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{x} \, dx\) [243]
3.3.44 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{x^2} \, dx\) [244]
3.3.45 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{x^3} \, dx\) [245]
3.3.46 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{x^4} \, dx\) [246]
3.3.47 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{x^5} \, dx\) [247]
3.3.48 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{x^6} \, dx\) [248]
3.3.49 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{x^7} \, dx\) [249]
3.3.50 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{x^8} \, dx\) [250]
3.3.51 \(\int \genfrac {}{}{}{}{(a x^2+b x^3)^{3/2}}{x^9} \, dx\) [251]
3.3.52 \(\int \genfrac {}{}{}{}{x^4}{\sqrt {a x^2+b x^3}} \, dx\) [252]
3.3.53 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {a x^2+b x^3}} \, dx\) [253]
3.3.54 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a x^2+b x^3}} \, dx\) [254]
3.3.55 \(\int \genfrac {}{}{}{}{x}{\sqrt {a x^2+b x^3}} \, dx\) [255]
3.3.56 \(\int \genfrac {}{}{}{}{1}{\sqrt {a x^2+b x^3}} \, dx\) [256]
3.3.57 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a x^2+b x^3}} \, dx\) [257]
3.3.58 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a x^2+b x^3}} \, dx\) [258]
3.3.59 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a x^2+b x^3}} \, dx\) [259]
3.3.60 \(\int \genfrac {}{}{}{}{x^6}{(a x^2+b x^3)^{3/2}} \, dx\) [260]
3.3.61 \(\int \genfrac {}{}{}{}{x^5}{(a x^2+b x^3)^{3/2}} \, dx\) [261]
3.3.62 \(\int \genfrac {}{}{}{}{x^4}{(a x^2+b x^3)^{3/2}} \, dx\) [262]
3.3.63 \(\int \genfrac {}{}{}{}{x^3}{(a x^2+b x^3)^{3/2}} \, dx\) [263]
3.3.64 \(\int \genfrac {}{}{}{}{x^2}{(a x^2+b x^3)^{3/2}} \, dx\) [264]
3.3.65 \(\int \genfrac {}{}{}{}{x}{(a x^2+b x^3)^{3/2}} \, dx\) [265]
3.3.66 \(\int \genfrac {}{}{}{}{1}{(a x^2+b x^3)^{3/2}} \, dx\) [266]
3.3.67 \(\int \genfrac {}{}{}{}{1}{x (a x^2+b x^3)^{3/2}} \, dx\) [267]
3.3.68 \(\int \genfrac {}{}{}{}{1}{x^2 (a x^2+b x^3)^{3/2}} \, dx\) [268]
3.3.69 \(\int \genfrac {}{}{}{}{x^{7/2}}{\sqrt {a x^2+b x^3}} \, dx\) [269]
3.3.70 \(\int \genfrac {}{}{}{}{x^{5/2}}{\sqrt {a x^2+b x^3}} \, dx\) [270]
3.3.71 \(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {a x^2+b x^3}} \, dx\) [271]
3.3.72 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {a x^2+b x^3}} \, dx\) [272]
3.3.73 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {a x^2+b x^3}} \, dx\) [273]
3.3.74 \(\int \genfrac {}{}{}{}{1}{x^{3/2} \sqrt {a x^2+b x^3}} \, dx\) [274]
3.3.75 \(\int \genfrac {}{}{}{}{1}{x^{5/2} \sqrt {a x^2+b x^3}} \, dx\) [275]
3.3.76 \(\int \genfrac {}{}{}{}{1}{x^{7/2} \sqrt {a x^2+b x^3}} \, dx\) [276]
3.3.77 \(\int x^{1-3 n} (a x^2+b x^3)^n \, dx\) [277]
3.3.78 \(\int x^{-3 n} (a x^2+b x^3)^n \, dx\) [278]
3.3.79 \(\int x^{-1-3 n} (a x^2+b x^3)^n \, dx\) [279]
3.3.80 \(\int x^{-2-3 n} (a x^2+b x^3)^n \, dx\) [280]
3.3.81 \(\int x^{-3-3 n} (a x^2+b x^3)^n \, dx\) [281]
3.3.82 \(\int x^{-4-3 n} (a x^2+b x^3)^n \, dx\) [282]
3.3.83 \(\int \genfrac {}{}{}{}{x^{11}}{(a x^2+b x^5)^3} \, dx\) [283]
3.3.84 \(\int \genfrac {}{}{}{}{x^9}{\sqrt {a x^2+b x^5}} \, dx\) [284]
3.3.85 \(\int \genfrac {}{}{}{}{x^6}{\sqrt {a x^2+b x^5}} \, dx\) [285]
3.3.86 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {a x^2+b x^5}} \, dx\) [286]
3.3.87 \(\int \genfrac {}{}{}{}{1}{\sqrt {a x^2+b x^5}} \, dx\) [287]
3.3.88 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a x^2+b x^5}} \, dx\) [288]
3.3.89 \(\int \genfrac {}{}{}{}{x^4}{\sqrt {a x^2+b x^5}} \, dx\) [289]
3.3.90 \(\int \genfrac {}{}{}{}{x}{\sqrt {a x^2+b x^5}} \, dx\) [290]
3.3.91 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a x^2+b x^5}} \, dx\) [291]
3.3.92 \(\int \genfrac {}{}{}{}{x^5}{\sqrt {a x^2+b x^5}} \, dx\) [292]
3.3.93 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a x^2+b x^5}} \, dx\) [293]
3.3.94 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a x^2+b x^5}} \, dx\) [294]
3.3.95 \(\int \genfrac {}{}{}{}{x^{13/2}}{\sqrt {a x^2+b x^5}} \, dx\) [295]
3.3.96 \(\int \genfrac {}{}{}{}{x^{11/2}}{\sqrt {a x^2+b x^5}} \, dx\) [296]
3.3.97 \(\int \genfrac {}{}{}{}{x^{9/2}}{\sqrt {a x^2+b x^5}} \, dx\) [297]
3.3.98 \(\int \genfrac {}{}{}{}{x^{7/2}}{\sqrt {a x^2+b x^5}} \, dx\) [298]
3.3.99 \(\int \genfrac {}{}{}{}{x^{5/2}}{\sqrt {a x^2+b x^5}} \, dx\) [299]
3.3.100 \(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {a x^2+b x^5}} \, dx\) [300]