3.7 Integrals 601 to 700

\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^5} \, dx\) [601]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^6} \, dx\) [602]
\(\int (1+x)^3 \sqrt {2+2 x+x^2} \, dx\) [603]
\(\int (-2+3 x) \sqrt {8+12 x+9 x^2} \, dx\) [604]
\(\int (7-2 x) \sqrt {9+16 x-4 x^2} \, dx\) [605]
\(\int \genfrac {}{}{}{}{\sqrt {-1-x+x^2}}{1+x} \, dx\) [606]
\(\int \genfrac {}{}{}{}{\sqrt {-1-x+x^2}}{1-x} \, dx\) [607]
\(\int \genfrac {}{}{}{}{(d+e x)^4}{\sqrt {a+b x+c x^2}} \, dx\) [608]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{\sqrt {a+b x+c x^2}} \, dx\) [609]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{\sqrt {a+b x+c x^2}} \, dx\) [610]
\(\int \genfrac {}{}{}{}{d+e x}{\sqrt {a+b x+c x^2}} \, dx\) [611]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2}} \, dx\) [612]
\(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {a+b x+c x^2}} \, dx\) [613]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 \sqrt {a+b x+c x^2}} \, dx\) [614]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^3 \sqrt {a+b x+c x^2}} \, dx\) [615]
\(\int \genfrac {}{}{}{}{(d+e x)^4}{(a+b x+c x^2)^{3/2}} \, dx\) [616]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{3/2}} \, dx\) [617]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{3/2}} \, dx\) [618]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{3/2}} \, dx\) [619]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{3/2}} \, dx\) [620]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{3/2}} \, dx\) [621]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{3/2}} \, dx\) [622]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)^{3/2}} \, dx\) [623]
\(\int \genfrac {}{}{}{}{(d+e x)^5}{(a+b x+c x^2)^{5/2}} \, dx\) [624]
\(\int \genfrac {}{}{}{}{(d+e x)^4}{(a+b x+c x^2)^{5/2}} \, dx\) [625]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{5/2}} \, dx\) [626]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{5/2}} \, dx\) [627]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{5/2}} \, dx\) [628]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{5/2}} \, dx\) [629]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{5/2}} \, dx\) [630]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{5/2}} \, dx\) [631]
\(\int \genfrac {}{}{}{}{3+x}{\sqrt {5-4 x-x^2}} \, dx\) [632]
\(\int \genfrac {}{}{}{}{5-4 x}{\sqrt {-8+12 x-4 x^2}} \, dx\) [633]
\(\int \genfrac {}{}{}{}{3+2 x}{\sqrt {5+2 x+x^2}} \, dx\) [634]
\(\int \genfrac {}{}{}{}{1}{(1-x) \sqrt {-4+2 x+x^2}} \, dx\) [635]
\(\int (d+e x)^{3/2} \sqrt {a+b x+c x^2} \, dx\) [636]
\(\int \sqrt {d+e x} \sqrt {a+b x+c x^2} \, dx\) [637]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{\sqrt {d+e x}} \, dx\) [638]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^{3/2}} \, dx\) [639]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^{5/2}} \, dx\) [640]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^{7/2}} \, dx\) [641]
\(\int \sqrt {d+e x} (a+b x+c x^2)^{3/2} \, dx\) [642]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [643]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [644]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [645]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [646]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\) [647]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{\sqrt {d+e x}} \, dx\) [648]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\) [649]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [650]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\) [651]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^{9/2}} \, dx\) [652]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^{11/2}} \, dx\) [653]
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{\sqrt {a+b x+c x^2}} \, dx\) [654]
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{\sqrt {a+b x+c x^2}} \, dx\) [655]
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {a+b x+c x^2}} \, dx\) [656]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {a+b x+c x^2}} \, dx\) [657]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {a+b x+c x^2}} \, dx\) [658]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt {a+b x+c x^2}} \, dx\) [659]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} \sqrt {a+b x+c x^2}} \, dx\) [660]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} \sqrt {a+b x+c x^2}} \, dx\) [661]
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [662]
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [663]
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [664]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a+b x+c x^2)^{3/2}} \, dx\) [665]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a+b x+c x^2)^{3/2}} \, dx\) [666]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a+b x+c x^2)^{3/2}} \, dx\) [667]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a+b x+c x^2)^{3/2}} \, dx\) [668]
\(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [669]
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [670]
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [671]
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [672]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a+b x+c x^2)^{5/2}} \, dx\) [673]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a+b x+c x^2)^{5/2}} \, dx\) [674]
\(\int \genfrac {}{}{}{}{\sqrt {3+5 x}}{\sqrt {2+5 x-12 x^2}} \, dx\) [675]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt {c^2+2 c d x+d^2 x^2}} \, dx\) [676]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt {(c+d x)^2}} \, dx\) [677]
\(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt [3]{-c^2 d^2+b c d e+2 b^2 e^2+9 b c e^2 x+9 c^2 e^2 x^2}} \, dx\) [678]
\(\int (d+e x)^3 (a+b x+c x^2)^{4/3} \, dx\) [679]
\(\int (d+e x)^2 (a+b x+c x^2)^{4/3} \, dx\) [680]
\(\int (d+e x) (a+b x+c x^2)^{4/3} \, dx\) [681]
\(\int (a+b x+c x^2)^{4/3} \, dx\) [682]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{d+e x} \, dx\) [683]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(d+e x)^2} \, dx\) [684]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(d+e x)^3} \, dx\) [685]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{2/3}} \, dx\) [686]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{2/3}} \, dx\) [687]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{2/3}} \, dx\) [688]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{2/3}} \, dx\) [689]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{2/3}} \, dx\) [690]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{4/3}} \, dx\) [691]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{4/3}} \, dx\) [692]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{4/3}} \, dx\) [693]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{4/3}} \, dx\) [694]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{4/3}} \, dx\) [695]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{7/3}} \, dx\) [696]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{7/3}} \, dx\) [697]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{7/3}} \, dx\) [698]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{7/3}} \, dx\) [699]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{7/3}} \, dx\) [700]