3.9 Integrals 801 to 900

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