3.7.1 \(\int \genfrac {}{}{}{}{a+c x^2}{(d+e x)^2 (f+g x)^{3/2}} \, dx\) [601]
3.7.2 \(\int \genfrac {}{}{}{}{a+c x^2}{(d+e x)^3 (f+g x)^{3/2}} \, dx\) [602]
3.7.3 \(\int \genfrac {}{}{}{}{a+c x^2}{\sqrt {d+e x} \sqrt {f+g x}} \, dx\) [603]
3.7.4 \(\int \genfrac {}{}{}{}{-1+2 x^2}{\sqrt {-1+x} \sqrt {1+x}} \, dx\) [604]
3.7.5 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} \sqrt {f+g x}}{a+c x^2} \, dx\) [605]
3.7.6 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} \sqrt {f+g x}}{a+c x^2} \, dx\) [606]
3.7.7 \(\int \genfrac {}{}{}{}{\sqrt {f+g x}}{\sqrt {d+e x} (a+c x^2)} \, dx\) [607]
3.7.8 \(\int \genfrac {}{}{}{}{\sqrt {f+g x}}{(d+e x)^{3/2} (a+c x^2)} \, dx\) [608]
3.7.9 \(\int \genfrac {}{}{}{}{\sqrt {f+g x}}{(d+e x)^{5/2} (a+c x^2)} \, dx\) [609]
3.7.10 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {f+g x} (a+c x^2)} \, dx\) [610]
3.7.11 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {f+g x} (a+c x^2)} \, dx\) [611]
3.7.12 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {f+g x} (a+c x^2)} \, dx\) [612]
3.7.13 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt {f+g x} (a+c x^2)} \, dx\) [613]
3.7.14 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^{3/2} (a+c x^2)} \, dx\) [614]
3.7.15 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^{3/2} (a+c x^2)} \, dx\) [615]
3.7.16 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (f+g x)^{3/2} (a+c x^2)} \, dx\) [616]
3.7.17 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (f+g x)^{3/2} (a+c x^2)} \, dx\) [617]
3.7.18 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {1+x} (1+x^2)} \, dx\) [618]
3.7.19 \(\int \genfrac {}{}{}{}{(f+g x)^2 \sqrt {1-x^2}}{(1-x)^4} \, dx\) [619]
3.7.20 \(\int \genfrac {}{}{}{}{(1-a^2 x^2)^{3/2}}{(1-a x)^2 (c+d x)} \, dx\) [620]
3.7.21 \(\int \genfrac {}{}{}{}{(1+a x)^2}{(c+d x) \sqrt {1-a^2 x^2}} \, dx\) [621]
3.7.22 \(\int (d+e x)^3 \sqrt {f+g x} \sqrt {a+c x^2} \, dx\) [622]
3.7.23 \(\int (d+e x)^2 \sqrt {f+g x} \sqrt {a+c x^2} \, dx\) [623]
3.7.24 \(\int (d+e x) \sqrt {f+g x} \sqrt {a+c x^2} \, dx\) [624]
3.7.25 \(\int \sqrt {f+g x} \sqrt {a+c x^2} \, dx\) [625]
3.7.26 \(\int \genfrac {}{}{}{}{\sqrt {f+g x} \sqrt {a+c x^2}}{d+e x} \, dx\) [626]
3.7.27 \(\int \genfrac {}{}{}{}{\sqrt {f+g x} \sqrt {a+c x^2}}{(d+e x)^2} \, dx\) [627]
3.7.28 \(\int \genfrac {}{}{}{}{\sqrt {f+g x} \sqrt {a+c x^2}}{(d+e x)^3} \, dx\) [628]
3.7.29 \(\int \genfrac {}{}{}{}{(d+e x)^3 \sqrt {a+c x^2}}{\sqrt {f+g x}} \, dx\) [629]
3.7.30 \(\int \genfrac {}{}{}{}{(d+e x)^2 \sqrt {a+c x^2}}{\sqrt {f+g x}} \, dx\) [630]
3.7.31 \(\int \genfrac {}{}{}{}{(d+e x) \sqrt {a+c x^2}}{\sqrt {f+g x}} \, dx\) [631]
3.7.32 \(\int \genfrac {}{}{}{}{\sqrt {a+c x^2}}{\sqrt {f+g x}} \, dx\) [632]
3.7.33 \(\int \genfrac {}{}{}{}{\sqrt {a+c x^2}}{(d+e x) \sqrt {f+g x}} \, dx\) [633]
3.7.34 \(\int \genfrac {}{}{}{}{\sqrt {a+c x^2}}{(d+e x)^2 \sqrt {f+g x}} \, dx\) [634]
3.7.35 \(\int \genfrac {}{}{}{}{\sqrt {a+c x^2}}{(d+e x)^3 \sqrt {f+g x}} \, dx\) [635]
3.7.36 \(\int \genfrac {}{}{}{}{(d+e x)^3 \sqrt {f+g x}}{\sqrt {a+c x^2}} \, dx\) [636]
3.7.37 \(\int \genfrac {}{}{}{}{(d+e x)^2 \sqrt {f+g x}}{\sqrt {a+c x^2}} \, dx\) [637]
3.7.38 \(\int \genfrac {}{}{}{}{(d+e x) \sqrt {f+g x}}{\sqrt {a+c x^2}} \, dx\) [638]
3.7.39 \(\int \genfrac {}{}{}{}{\sqrt {f+g x}}{\sqrt {a+c x^2}} \, dx\) [639]
3.7.40 \(\int \genfrac {}{}{}{}{\sqrt {f+g x}}{(d+e x) \sqrt {a+c x^2}} \, dx\) [640]
3.7.41 \(\int \genfrac {}{}{}{}{\sqrt {f+g x}}{(d+e x)^2 \sqrt {a+c x^2}} \, dx\) [641]
3.7.42 \(\int \genfrac {}{}{}{}{\sqrt {f+g x}}{(d+e x)^3 \sqrt {a+c x^2}} \, dx\) [642]
3.7.43 \(\int \genfrac {}{}{}{}{(f+g x)^{5/2}}{(d+e x) \sqrt {a+c x^2}} \, dx\) [643]
3.7.44 \(\int \genfrac {}{}{}{}{(f+g x)^{3/2}}{(d+e x) \sqrt {a+c x^2}} \, dx\) [644]
3.7.45 \(\int \genfrac {}{}{}{}{(d+e x)^3}{\sqrt {f+g x} \sqrt {a+c x^2}} \, dx\) [645]
3.7.46 \(\int \genfrac {}{}{}{}{(d+e x)^2}{\sqrt {f+g x} \sqrt {a+c x^2}} \, dx\) [646]
3.7.47 \(\int \genfrac {}{}{}{}{d+e x}{\sqrt {f+g x} \sqrt {a+c x^2}} \, dx\) [647]
3.7.48 \(\int \genfrac {}{}{}{}{1}{\sqrt {f+g x} \sqrt {a+c x^2}} \, dx\) [648]
3.7.49 \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {f+g x} \sqrt {a+c x^2}} \, dx\) [649]
3.7.50 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 \sqrt {f+g x} \sqrt {a+c x^2}} \, dx\) [650]
3.7.51 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 \sqrt {f+g x} \sqrt {a+c x^2}} \, dx\) [651]
3.7.52 \(\int \genfrac {}{}{}{}{1}{(d+e x) (f+g x)^{3/2} \sqrt {a+c x^2}} \, dx\) [652]
3.7.53 \(\int \genfrac {}{}{}{}{1}{(d+e x) (f+g x)^{5/2} \sqrt {a+c x^2}} \, dx\) [653]
3.7.54 \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {f+g x} \sqrt {1+c x^2}} \, dx\) [654]
3.7.55 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {f+g x} \sqrt {a+c x^2}} \, dx\) [655]
3.7.56 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x} \sqrt {1+x} \sqrt {-1+2 x^2}} \, dx\) [656]
3.7.57 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)^3}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [657]
3.7.58 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)^2}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [658]
3.7.59 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [659]
3.7.60 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [660]
3.7.61 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [661]
3.7.62 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^2 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [662]
3.7.63 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^3 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [663]
3.7.64 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^4 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [664]
3.7.65 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^3}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [665]
3.7.66 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^2}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [666]
3.7.67 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [667]
3.7.68 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [668]
3.7.69 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [669]
3.7.70 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [670]
3.7.71 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [671]
3.7.72 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)^3}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [672]
3.7.73 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)^2}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [673]
3.7.74 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [674]
3.7.75 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [675]
3.7.76 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [676]
3.7.77 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [677]
3.7.78 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [678]
3.7.79 \(\int \genfrac {}{}{}{}{(f+g x)^4 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [679]
3.7.80 \(\int \genfrac {}{}{}{}{(f+g x)^3 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [680]
3.7.81 \(\int \genfrac {}{}{}{}{(f+g x)^2 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [681]
3.7.82 \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [682]
3.7.83 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [683]
3.7.84 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)} \, dx\) [684]
3.7.85 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^2} \, dx\) [685]
3.7.86 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^3} \, dx\) [686]
3.7.87 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^4} \, dx\) [687]
3.7.88 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^5} \, dx\) [688]
3.7.89 \(\int \genfrac {}{}{}{}{(f+g x)^4 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [689]
3.7.90 \(\int \genfrac {}{}{}{}{(f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [690]
3.7.91 \(\int \genfrac {}{}{}{}{(f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [691]
3.7.92 \(\int \genfrac {}{}{}{}{(f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [692]
3.7.93 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [693]
3.7.94 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)} \, dx\) [694]
3.7.95 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^2} \, dx\) [695]
3.7.96 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^3} \, dx\) [696]
3.7.97 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^4} \, dx\) [697]
3.7.98 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^5} \, dx\) [698]
3.7.99 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^6} \, dx\) [699]
3.7.100 \(\int \genfrac {}{}{}{}{(f+g x)^4 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [700]