3.3.1 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^2} \, dx\) [201]
3.3.2 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^3} \, dx\) [202]
3.3.3 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^4} \, dx\) [203]
3.3.4 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^5} \, dx\) [204]
3.3.5 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^6} \, dx\) [205]
3.3.6 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^7} \, dx\) [206]
3.3.7 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^8} \, dx\) [207]
3.3.8 \(\int (1+2 x)^3 \sqrt {2-x+3 x^2} (1+3 x+4 x^2) \, dx\) [208]
3.3.9 \(\int (1+2 x)^2 \sqrt {2-x+3 x^2} (1+3 x+4 x^2) \, dx\) [209]
3.3.10 \(\int (1+2 x) \sqrt {2-x+3 x^2} (1+3 x+4 x^2) \, dx\) [210]
3.3.11 \(\int \genfrac {}{}{}{}{\sqrt {2-x+3 x^2} (1+3 x+4 x^2)}{1+2 x} \, dx\) [211]
3.3.12 \(\int \genfrac {}{}{}{}{\sqrt {2-x+3 x^2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\) [212]
3.3.13 \(\int \genfrac {}{}{}{}{\sqrt {2-x+3 x^2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\) [213]
3.3.14 \(\int (1+2 x)^3 (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\) [214]
3.3.15 \(\int (1+2 x)^2 (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\) [215]
3.3.16 \(\int (1+2 x) (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\) [216]
3.3.17 \(\int \genfrac {}{}{}{}{(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{1+2 x} \, dx\) [217]
3.3.18 \(\int \genfrac {}{}{}{}{(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\) [218]
3.3.19 \(\int \genfrac {}{}{}{}{(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\) [219]
3.3.20 \(\int (1+2 x)^3 (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\) [220]
3.3.21 \(\int (1+2 x)^2 (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\) [221]
3.3.22 \(\int (1+2 x) (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\) [222]
3.3.23 \(\int \genfrac {}{}{}{}{(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{1+2 x} \, dx\) [223]
3.3.24 \(\int \genfrac {}{}{}{}{(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\) [224]
3.3.25 \(\int \genfrac {}{}{}{}{(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\) [225]
3.3.26 \(\int \genfrac {}{}{}{}{(g+h x)^3 (d+e x+f x^2)}{\sqrt {a+b x+c x^2}} \, dx\) [226]
3.3.27 \(\int \genfrac {}{}{}{}{(g+h x)^2 (d+e x+f x^2)}{\sqrt {a+b x+c x^2}} \, dx\) [227]
3.3.28 \(\int \genfrac {}{}{}{}{(g+h x) (d+e x+f x^2)}{\sqrt {a+b x+c x^2}} \, dx\) [228]
3.3.29 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{\sqrt {a+b x+c x^2}} \, dx\) [229]
3.3.30 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{(g+h x) \sqrt {a+b x+c x^2}} \, dx\) [230]
3.3.31 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{(g+h x)^2 \sqrt {a+b x+c x^2}} \, dx\) [231]
3.3.32 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{(g+h x)^3 \sqrt {a+b x+c x^2}} \, dx\) [232]
3.3.33 \(\int \genfrac {}{}{}{}{(g+h x)^3 (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\) [233]
3.3.34 \(\int \genfrac {}{}{}{}{(g+h x)^2 (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\) [234]
3.3.35 \(\int \genfrac {}{}{}{}{(g+h x) (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\) [235]
3.3.36 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{(a+b x+c x^2)^{3/2}} \, dx\) [236]
3.3.37 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{(g+h x) (a+b x+c x^2)^{3/2}} \, dx\) [237]
3.3.38 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{(g+h x)^2 (a+b x+c x^2)^{3/2}} \, dx\) [238]
3.3.39 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{(g+h x)^3 (a+b x+c x^2)^{3/2}} \, dx\) [239]
3.3.40 \(\int \genfrac {}{}{}{}{(1+2 x)^3 (1+3 x+4 x^2)}{\sqrt {2-x+3 x^2}} \, dx\) [240]
3.3.41 \(\int \genfrac {}{}{}{}{(1+2 x)^2 (1+3 x+4 x^2)}{\sqrt {2-x+3 x^2}} \, dx\) [241]
3.3.42 \(\int \genfrac {}{}{}{}{(1+2 x) (1+3 x+4 x^2)}{\sqrt {2-x+3 x^2}} \, dx\) [242]
3.3.43 \(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x) \sqrt {2-x+3 x^2}} \, dx\) [243]
3.3.44 \(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^2 \sqrt {2-x+3 x^2}} \, dx\) [244]
3.3.45 \(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^3 \sqrt {2-x+3 x^2}} \, dx\) [245]
3.3.46 \(\int \genfrac {}{}{}{}{(1+2 x)^3 (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\) [246]
3.3.47 \(\int \genfrac {}{}{}{}{(1+2 x)^2 (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\) [247]
3.3.48 \(\int \genfrac {}{}{}{}{(1+2 x) (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\) [248]
3.3.49 \(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x) (2-x+3 x^2)^{3/2}} \, dx\) [249]
3.3.50 \(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^2 (2-x+3 x^2)^{3/2}} \, dx\) [250]
3.3.51 \(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^3 (2-x+3 x^2)^{3/2}} \, dx\) [251]
3.3.52 \(\int \genfrac {}{}{}{}{(1+2 x)^3 (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\) [252]
3.3.53 \(\int \genfrac {}{}{}{}{(1+2 x)^2 (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\) [253]
3.3.54 \(\int \genfrac {}{}{}{}{(1+2 x) (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\) [254]
3.3.55 \(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x) (2-x+3 x^2)^{5/2}} \, dx\) [255]
3.3.56 \(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^2 (2-x+3 x^2)^{5/2}} \, dx\) [256]
3.3.57 \(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^3 (2-x+3 x^2)^{5/2}} \, dx\) [257]
3.3.58 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{(g+h x) (-c g^2+b g h+b h^2 x+c h^2 x^2)^{3/2}} \, dx\) [258]
3.3.59 \(\int \sqrt {d+e x} \sqrt {a+b x+c x^2} (A+B x+C x^2) \, dx\) [259]
3.3.60 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2} (A+B x+C x^2)}{\sqrt {d+e x}} \, dx\) [260]
3.3.61 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{3/2}} \, dx\) [261]
3.3.62 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{5/2}} \, dx\) [262]
3.3.63 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{7/2}} \, dx\) [263]
3.3.64 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{9/2}} \, dx\) [264]
3.3.65 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{11/2}} \, dx\) [265]
3.3.66 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (A+B x+C x^2)}{\sqrt {a+b x+c x^2}} \, dx\) [266]
3.3.67 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (A+B x+C x^2)}{\sqrt {a+b x+c x^2}} \, dx\) [267]
3.3.68 \(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {d+e x} \sqrt {a+b x+c x^2}} \, dx\) [268]
3.3.69 \(\int \genfrac {}{}{}{}{A+B x+C x^2}{(d+e x)^{3/2} \sqrt {a+b x+c x^2}} \, dx\) [269]
3.3.70 \(\int \genfrac {}{}{}{}{A+B x+C x^2}{(d+e x)^{5/2} \sqrt {a+b x+c x^2}} \, dx\) [270]
3.3.71 \(\int \genfrac {}{}{}{}{A+B x+C x^2}{(d+e x)^{7/2} \sqrt {a+b x+c x^2}} \, dx\) [271]
3.3.72 \(\int (g+h x)^m (a+b x+c x^2)^p (d+e x+f x^2) \, dx\) [272]
3.3.73 \(\int (g+h x)^m \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\) [273]
3.3.74 \(\int (g+h x)^{-3-2 p} (a+b x+c x^2)^p (d+e x+f x^2) \, dx\) [274]
3.3.75 \(\int (d+f x^2)^p (2 c d f+2 b f^2 (3+2 p) x+2 c f^2 (3+2 p) x^2) \, dx\) [275]
3.3.76 \(\int (d+e x+f x^2)^p (-2 c e^2+2 c d f-c e^2 p+2 c f^2 (3+2 p) x^2) \, dx\) [276]
3.3.77 \(\int (d+e x+f x^2)^p (-2 c e^2+2 c d f+3 b e f-c e^2 p+2 b e f p+2 b f^2 (3+2 p) x+2 c f^2 (3+2 p) x^2) \, dx\) [277]
3.3.78 \(\int (d+e x)^3 (a+b x+c x^2)^5 (d (6 b d+5 a e)+(12 c d^2+17 b d e+5 a e^2) x+e (29 c d+11 b e) x^2+17 c e^2 x^3) \, dx\) [278]
3.3.79 \(\int \genfrac {}{}{}{}{x^2+x^3}{-2+x+x^2} \, dx\) [279]
3.3.80 \(\int \genfrac {}{}{}{}{x^2 (d+e x+f x^2+g x^3)}{\sqrt {a+b x+c x^2}} \, dx\) [280]
3.3.81 \(\int \genfrac {}{}{}{}{x (d+e x+f x^2+g x^3)}{\sqrt {a+b x+c x^2}} \, dx\) [281]
3.3.82 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{\sqrt {a+b x+c x^2}} \, dx\) [282]
3.3.83 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x \sqrt {a+b x+c x^2}} \, dx\) [283]
3.3.84 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x^2 \sqrt {a+b x+c x^2}} \, dx\) [284]
3.3.85 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x^3 \sqrt {a+b x+c x^2}} \, dx\) [285]
3.3.86 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x^4 \sqrt {a+b x+c x^2}} \, dx\) [286]
3.3.87 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x^5 \sqrt {a+b x+c x^2}} \, dx\) [287]
3.3.88 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x^6 \sqrt {a+b x+c x^2}} \, dx\) [288]
3.3.89 \(\int (d+e x)^3 (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [289]
3.3.90 \(\int (d+e x)^2 (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [290]
3.3.91 \(\int (d+e x) (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [291]
3.3.92 \(\int (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [292]
3.3.93 \(\int \genfrac {}{}{}{}{(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{d+e x} \, dx\) [293]
3.3.94 \(\int \genfrac {}{}{}{}{(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^2} \, dx\) [294]
3.3.95 \(\int \genfrac {}{}{}{}{(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^3} \, dx\) [295]
3.3.96 \(\int (d+e x)^3 (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [296]
3.3.97 \(\int (d+e x)^2 (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [297]
3.3.98 \(\int (d+e x) (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [298]
3.3.99 \(\int (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [299]
3.3.100 \(\int \genfrac {}{}{}{}{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{d+e x} \, dx\) [300]