3.9 Integrals 801 to 900

   \(\int (d+e x)^2 (d^2-e^2 x^2)^{7/2} \, dx\) [801]
   \(\int (d+e x) (d^2-e^2 x^2)^{7/2} \, dx\) [802]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{d+e x} \, dx\) [803]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^2} \, dx\) [804]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^3} \, dx\) [805]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^4} \, dx\) [806]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^5} \, dx\) [807]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^6} \, dx\) [808]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^7} \, dx\) [809]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^8} \, dx\) [810]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^9} \, dx\) [811]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^{10}} \, dx\) [812]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^{11}} \, dx\) [813]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^{12}} \, dx\) [814]
   \(\int \genfrac {}{}{}{}{(d^2-e^2 x^2)^{7/2}}{(d+e x)^{13}} \, dx\) [815]
   \(\int \genfrac {}{}{}{}{\sqrt {a^2-b^2 x^2}}{a-b x} \, dx\) [816]
   \(\int (a+b x)^2 \sqrt {-\genfrac {}{}{}{}{a^2 c}{b^2}+c x^2} \, dx\) [817]
   \(\int (a+b x)^3 \sqrt {-\genfrac {}{}{}{}{a^2 c}{b^2}+c x^2} \, dx\) [818]
   \(\int (1+x) \sqrt {-1+x^2} \, dx\) [819]
   \(\int (1+x) \sqrt {1-x^2} \, dx\) [820]
   \(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{1+x} \, dx\) [821]
   \(\int (1-x) \sqrt {1-x^2} \, dx\) [822]
   \(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{1-x} \, dx\) [823]
   \(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{(1-x)^2} \, dx\) [824]
   \(\int \genfrac {}{}{}{}{\sqrt {1-x^2}}{(1-x)^3} \, dx\) [825]
   \(\int \genfrac {}{}{}{}{(d+e x)^5}{\sqrt {d^2-e^2 x^2}} \, dx\) [826]
   \(\int \genfrac {}{}{}{}{(d+e x)^4}{\sqrt {d^2-e^2 x^2}} \, dx\) [827]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{\sqrt {d^2-e^2 x^2}} \, dx\) [828]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{\sqrt {d^2-e^2 x^2}} \, dx\) [829]
   \(\int \genfrac {}{}{}{}{d+e x}{\sqrt {d^2-e^2 x^2}} \, dx\) [830]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {d^2-e^2 x^2}} \, dx\) [831]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 \sqrt {d^2-e^2 x^2}} \, dx\) [832]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 \sqrt {d^2-e^2 x^2}} \, dx\) [833]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^4 \sqrt {d^2-e^2 x^2}} \, dx\) [834]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^5 \sqrt {d^2-e^2 x^2}} \, dx\) [835]
   \(\int \genfrac {}{}{}{}{(d+e x)^6}{(d^2-e^2 x^2)^{5/2}} \, dx\) [836]
   \(\int \genfrac {}{}{}{}{(d+e x)^5}{(d^2-e^2 x^2)^{5/2}} \, dx\) [837]
   \(\int \genfrac {}{}{}{}{(d+e x)^4}{(d^2-e^2 x^2)^{5/2}} \, dx\) [838]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{(d^2-e^2 x^2)^{5/2}} \, dx\) [839]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{(d^2-e^2 x^2)^{5/2}} \, dx\) [840]
   \(\int \genfrac {}{}{}{}{d+e x}{(d^2-e^2 x^2)^{5/2}} \, dx\) [841]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) (d^2-e^2 x^2)^{5/2}} \, dx\) [842]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (d^2-e^2 x^2)^{5/2}} \, dx\) [843]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (d^2-e^2 x^2)^{5/2}} \, dx\) [844]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^4 (d^2-e^2 x^2)^{5/2}} \, dx\) [845]
   \(\int \genfrac {}{}{}{}{(d+e x)^9}{(d^2-e^2 x^2)^{7/2}} \, dx\) [846]
   \(\int \genfrac {}{}{}{}{(d+e x)^8}{(d^2-e^2 x^2)^{7/2}} \, dx\) [847]
   \(\int \genfrac {}{}{}{}{(d+e x)^7}{(d^2-e^2 x^2)^{7/2}} \, dx\) [848]
   \(\int \genfrac {}{}{}{}{(d+e x)^6}{(d^2-e^2 x^2)^{7/2}} \, dx\) [849]
   \(\int \genfrac {}{}{}{}{(d+e x)^5}{(d^2-e^2 x^2)^{7/2}} \, dx\) [850]
   \(\int \genfrac {}{}{}{}{(d+e x)^4}{(d^2-e^2 x^2)^{7/2}} \, dx\) [851]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{(d^2-e^2 x^2)^{7/2}} \, dx\) [852]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{(d^2-e^2 x^2)^{7/2}} \, dx\) [853]
   \(\int \genfrac {}{}{}{}{d+e x}{(d^2-e^2 x^2)^{7/2}} \, dx\) [854]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) (d^2-e^2 x^2)^{7/2}} \, dx\) [855]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (d^2-e^2 x^2)^{7/2}} \, dx\) [856]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (d^2-e^2 x^2)^{7/2}} \, dx\) [857]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^4 (d^2-e^2 x^2)^{7/2}} \, dx\) [858]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^5 (d^2-e^2 x^2)^{7/2}} \, dx\) [859]
   \(\int \genfrac {}{}{}{}{1+x}{\sqrt {1-x^2}} \, dx\) [860]
   \(\int \genfrac {}{}{}{}{1-x}{\sqrt {1-x^2}} \, dx\) [861]
   \(\int (d+e x)^{5/2} \sqrt {c d^2-c e^2 x^2} \, dx\) [862]
   \(\int (d+e x)^{3/2} \sqrt {c d^2-c e^2 x^2} \, dx\) [863]
   \(\int \sqrt {d+e x} \sqrt {c d^2-c e^2 x^2} \, dx\) [864]
   \(\int \genfrac {}{}{}{}{\sqrt {c d^2-c e^2 x^2}}{\sqrt {d+e x}} \, dx\) [865]
   \(\int \genfrac {}{}{}{}{\sqrt {c d^2-c e^2 x^2}}{(d+e x)^{3/2}} \, dx\) [866]
   \(\int \genfrac {}{}{}{}{\sqrt {c d^2-c e^2 x^2}}{(d+e x)^{5/2}} \, dx\) [867]
   \(\int \genfrac {}{}{}{}{\sqrt {c d^2-c e^2 x^2}}{(d+e x)^{7/2}} \, dx\) [868]
   \(\int (d+e x)^{5/2} (c d^2-c e^2 x^2)^{3/2} \, dx\) [869]
   \(\int (d+e x)^{3/2} (c d^2-c e^2 x^2)^{3/2} \, dx\) [870]
   \(\int \sqrt {d+e x} (c d^2-c e^2 x^2)^{3/2} \, dx\) [871]
   \(\int \genfrac {}{}{}{}{(c d^2-c e^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [872]
   \(\int \genfrac {}{}{}{}{(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [873]
   \(\int \genfrac {}{}{}{}{(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [874]
   \(\int \genfrac {}{}{}{}{(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [875]
   \(\int \genfrac {}{}{}{}{(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\) [876]
   \(\int \genfrac {}{}{}{}{(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{11/2}} \, dx\) [877]
   \(\int \genfrac {}{}{}{}{(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{13/2}} \, dx\) [878]
   \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{\sqrt {c d^2-c e^2 x^2}} \, dx\) [879]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{\sqrt {c d^2-c e^2 x^2}} \, dx\) [880]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {c d^2-c e^2 x^2}} \, dx\) [881]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {c d^2-c e^2 x^2}} \, dx\) [882]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {c d^2-c e^2 x^2}} \, dx\) [883]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt {c d^2-c e^2 x^2}} \, dx\) [884]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} \sqrt {c d^2-c e^2 x^2}} \, dx\) [885]
   \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(c d^2-c e^2 x^2)^{3/2}} \, dx\) [886]
   \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(c d^2-c e^2 x^2)^{3/2}} \, dx\) [887]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(c d^2-c e^2 x^2)^{3/2}} \, dx\) [888]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(c d^2-c e^2 x^2)^{3/2}} \, dx\) [889]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(c d^2-c e^2 x^2)^{3/2}} \, dx\) [890]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (c d^2-c e^2 x^2)^{3/2}} \, dx\) [891]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (c d^2-c e^2 x^2)^{3/2}} \, dx\) [892]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x} \sqrt {1-x^2}} \, dx\) [893]
   \(\int (2+e x)^{5/2} \sqrt {12-3 e^2 x^2} \, dx\) [894]
   \(\int (2+e x)^{3/2} \sqrt {12-3 e^2 x^2} \, dx\) [895]
   \(\int \sqrt {2+e x} \sqrt {12-3 e^2 x^2} \, dx\) [896]
   \(\int \genfrac {}{}{}{}{\sqrt {12-3 e^2 x^2}}{\sqrt {2+e x}} \, dx\) [897]
   \(\int \genfrac {}{}{}{}{\sqrt {12-3 e^2 x^2}}{(2+e x)^{3/2}} \, dx\) [898]
   \(\int \genfrac {}{}{}{}{\sqrt {12-3 e^2 x^2}}{(2+e x)^{5/2}} \, dx\) [899]
   \(\int \genfrac {}{}{}{}{\sqrt {12-3 e^2 x^2}}{(2+e x)^{7/2}} \, dx\) [900]