3.2 Integrals 101 to 140

  3.2.1 \(\int \genfrac {}{}{}{}{1}{x (a x+b x^3+c x^5)^2} \, dx\) [101]
  3.2.2 \(\int \genfrac {}{}{}{}{1}{x^2 (a x+b x^3+c x^5)^2} \, dx\) [102]
  3.2.3 \(\int \genfrac {}{}{}{}{1}{x^3 (a x+b x^3+c x^5)^2} \, dx\) [103]
  3.2.4 \(\int \genfrac {}{}{}{}{x}{\sqrt {a x+b x^3+c x^5}} \, dx\) [104]
  3.2.5 \(\int x^{3/2} \sqrt {a x+b x^3+c x^5} \, dx\) [105]
  3.2.6 \(\int \sqrt {x} \sqrt {a x+b x^3+c x^5} \, dx\) [106]
  3.2.7 \(\int \genfrac {}{}{}{}{\sqrt {a x+b x^3+c x^5}}{\sqrt {x}} \, dx\) [107]
  3.2.8 \(\int \genfrac {}{}{}{}{\sqrt {a x+b x^3+c x^5}}{x^{3/2}} \, dx\) [108]
  3.2.9 \(\int x^{3/2} (a x+b x^3+c x^5)^{3/2} \, dx\) [109]
  3.2.10 \(\int \sqrt {x} (a x+b x^3+c x^5)^{3/2} \, dx\) [110]
  3.2.11 \(\int \genfrac {}{}{}{}{(a x+b x^3+c x^5)^{3/2}}{\sqrt {x}} \, dx\) [111]
  3.2.12 \(\int \genfrac {}{}{}{}{(a x+b x^3+c x^5)^{3/2}}{x^{3/2}} \, dx\) [112]
  3.2.13 \(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {a x+b x^3+c x^5}} \, dx\) [113]
  3.2.14 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {a x+b x^3+c x^5}} \, dx\) [114]
  3.2.15 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {a x+b x^3+c x^5}} \, dx\) [115]
  3.2.16 \(\int \genfrac {}{}{}{}{1}{x^{3/2} \sqrt {a x+b x^3+c x^5}} \, dx\) [116]
  3.2.17 \(\int \genfrac {}{}{}{}{x^{3/2}}{(a x+b x^3+c x^5)^{3/2}} \, dx\) [117]
  3.2.18 \(\int \genfrac {}{}{}{}{\sqrt {x}}{(a x+b x^3+c x^5)^{3/2}} \, dx\) [118]
  3.2.19 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a x+b x^3+c x^5)^{3/2}} \, dx\) [119]
  3.2.20 \(\int \genfrac {}{}{}{}{1}{x^{3/2} (a x+b x^3+c x^5)^{3/2}} \, dx\) [120]
  3.2.21 \(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{3}{2} (-1+n)}}{(a x^{-1+n}+b x^n+c x^{1+n})^{3/2}} \, dx\) [121]
  3.2.22 \(\int \genfrac {}{}{}{}{x (d+e x^2)}{\sqrt {a x+b x^3+c x^5}} \, dx\) [122]
  3.2.23 \(\int \genfrac {}{}{}{}{1}{\sqrt {3 x^2-3 x^4+x^6}} \, dx\) [123]
  3.2.24 \(\int \genfrac {}{}{}{}{1}{\sqrt {x^2 (3-3 x^2+x^4)}} \, dx\) [124]
  3.2.25 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-(1-x^2)^3}} \, dx\) [125]
  3.2.26 \(\int \sqrt {3 x^2-3 x^4+x^6} \, dx\) [126]
  3.2.27 \(\int \sqrt {x^2 (3-3 x^2+x^4)} \, dx\) [127]
  3.2.28 \(\int \sqrt {1-(1-x^2)^3} \, dx\) [128]
  3.2.29 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x+c x^2}} \, dx\) [129]
  3.2.30 \(\int \genfrac {}{}{}{}{1}{\sqrt {x^2 (a+b x+c x^2)}} \, dx\) [130]
  3.2.31 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {x (a+b x+c x^2)}} \, dx\) [131]
  3.2.32 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {x^3 (a+b x+c x^2)}} \, dx\) [132]
  3.2.33 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x^2+c x^4}} \, dx\) [133]
  3.2.34 \(\int \genfrac {}{}{}{}{1}{\sqrt {x^2 (a+b x^2+c x^4)}} \, dx\) [134]
  3.2.35 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {x (a+b x^2+c x^4)}} \, dx\) [135]
  3.2.36 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {x^3 (a+b x^2+c x^4)}} \, dx\) [136]
  3.2.37 \(\int \genfrac {}{}{}{}{1}{x \sqrt {3-3 x^2+x^4}} \, dx\) [137]
  3.2.38 \(\int \genfrac {}{}{}{}{1}{\sqrt {x^2 (3-3 x^2+x^4)}} \, dx\) [138]
  3.2.39 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {x (3-3 x+x^2)}} \, dx\) [139]
  3.2.40 \(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{q}{2}}}{\sqrt {b x^n+c x^{2 n-q}+a x^q}} \, dx\) [140]