3.8 Integrals 701 to 800

   \(\int \genfrac {}{}{}{}{(f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [701]
   \(\int \genfrac {}{}{}{}{(f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [702]
   \(\int \genfrac {}{}{}{}{(f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [703]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [704]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)} \, dx\) [705]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^2} \, dx\) [706]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^3} \, dx\) [707]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^4} \, dx\) [708]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^5} \, dx\) [709]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^6} \, dx\) [710]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^7} \, dx\) [711]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)^{5/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [712]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)^{3/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [713]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x} \sqrt {f+g x}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [714]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {f+g x} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [715]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^{3/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [716]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^{5/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [717]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^{7/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [718]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^{9/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [719]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [720]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [721]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} \sqrt {f+g x}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [722]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [723]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [724]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^{5/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [725]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^{7/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [726]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [727]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [728]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} \sqrt {f+g x}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [729]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [730]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [731]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(f+g x)^{5/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [732]
   \(\int \genfrac {}{}{}{}{(f+g x)^{5/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [733]
   \(\int \genfrac {}{}{}{}{(f+g x)^{3/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [734]
   \(\int \genfrac {}{}{}{}{\sqrt {f+g x} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [735]
   \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} \sqrt {f+g x}} \, dx\) [736]
   \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{3/2}} \, dx\) [737]
   \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{5/2}} \, dx\) [738]
   \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{7/2}} \, dx\) [739]
   \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{9/2}} \, dx\) [740]
   \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{11/2}} \, dx\) [741]
   \(\int \genfrac {}{}{}{}{(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [742]
   \(\int \genfrac {}{}{}{}{\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [743]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} \sqrt {f+g x}} \, dx\) [744]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{3/2}} \, dx\) [745]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{5/2}} \, dx\) [746]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{7/2}} \, dx\) [747]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{9/2}} \, dx\) [748]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{11/2}} \, dx\) [749]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{13/2}} \, dx\) [750]
   \(\int \genfrac {}{}{}{}{(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [751]
   \(\int \genfrac {}{}{}{}{\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [752]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} \sqrt {f+g x}} \, dx\) [753]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{3/2}} \, dx\) [754]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{5/2}} \, dx\) [755]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{7/2}} \, dx\) [756]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{9/2}} \, dx\) [757]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{11/2}} \, dx\) [758]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{13/2}} \, dx\) [759]
   \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{15/2}} \, dx\) [760]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)^n}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [761]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^n}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [762]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)^n}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [763]
   \(\int \genfrac {}{}{}{}{(f+g x)^n \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [764]
   \(\int \genfrac {}{}{}{}{(f+g x)^n (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [765]
   \(\int \genfrac {}{}{}{}{(f+g x)^n (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [766]
   \(\int (d+e x)^m (f+g x)^n (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [767]
   \(\int (d+e x)^m (f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [768]
   \(\int (d+e x)^m (f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [769]
   \(\int (d+e x)^m (f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [770]
   \(\int (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [771]
   \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{f+g x} \, dx\) [772]
   \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{(f+g x)^2} \, dx\) [773]
   \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{(f+g x)^3} \, dx\) [774]
   \(\int (d+e x)^m (f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [775]
   \(\int (d+e x)^m \sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [776]
   \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{\sqrt {f+g x}} \, dx\) [777]
   \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{(f+g x)^{3/2}} \, dx\) [778]
   \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{(f+g x)^{5/2}} \, dx\) [779]
   \(\int (a e+c d x)^n (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [780]
   \(\int (d+e x)^m (c d^2 e g-e (c d^2+a e^2) g-c d e^2 g x)^{-1+m} (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [781]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^n}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [782]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^4}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [783]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^3}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [784]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^2}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [785]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [786]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [787]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [788]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^2 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [789]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^3 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [790]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^4 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [791]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [792]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [793]
   \(\int \genfrac {}{}{}{}{a+b x+c x^2}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [794]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1-d x} \sqrt {1+d x} (a+b x+c x^2)} \, dx\) [795]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1-d x} \sqrt {1+d x} (a+b x+c x^2)^2} \, dx\) [796]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(1-d x)^{3/2} (1+d x)^{3/2}} \, dx\) [797]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(1-d x)^{3/2} (1+d x)^{3/2}} \, dx\) [798]
   \(\int \genfrac {}{}{}{}{a+b x+c x^2}{(1-d x)^{3/2} (1+d x)^{3/2}} \, dx\) [799]
   \(\int \genfrac {}{}{}{}{1}{(1-d x)^{3/2} (1+d x)^{3/2} (a+b x+c x^2)} \, dx\) [800]