3.4 Integrals 301 to 349

  3.4.1 \(\int \genfrac {}{}{}{}{(1-2 x^2)^m}{\sqrt {1-x^2}} \, dx\) [301]
  3.4.2 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x^2} \sqrt {7-4 \sqrt {3}+x^2}} \, dx\) [302]
  3.4.3 \(\int \genfrac {}{}{}{}{1}{\sqrt {3-3 \sqrt {3}+2 \sqrt {3} x^2} \sqrt {3+(-3+\sqrt {3}) x^2}} \, dx\) [303]
  3.4.4 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{2+3 x^2} (4+3 x^2)} \, dx\) [304]
  3.4.5 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [305]
  3.4.6 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{2+b x^2} (4+b x^2)} \, dx\) [306]
  3.4.7 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{2-b x^2} (4-b x^2)} \, dx\) [307]
  3.4.8 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+3 x^2} (2 a+3 x^2)} \, dx\) [308]
  3.4.9 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a-3 x^2} (2 a-3 x^2)} \, dx\) [309]
  3.4.10 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^2} (2 a+b x^2)} \, dx\) [310]
  3.4.11 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a-b x^2} (2 a-b x^2)} \, dx\) [311]
  3.4.12 \(\int \genfrac {}{}{}{}{1}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [312]
  3.4.13 \(\int \genfrac {}{}{}{}{1}{(-2-3 x^2) \sqrt [4]{-1-3 x^2}} \, dx\) [313]
  3.4.14 \(\int \genfrac {}{}{}{}{1}{(-2+b x^2) \sqrt [4]{-1+b x^2}} \, dx\) [314]
  3.4.15 \(\int \genfrac {}{}{}{}{1}{(-2-b x^2) \sqrt [4]{-1-b x^2}} \, dx\) [315]
  3.4.16 \(\int \genfrac {}{}{}{}{1}{(-2 a+3 x^2) \sqrt [4]{-a+3 x^2}} \, dx\) [316]
  3.4.17 \(\int \genfrac {}{}{}{}{1}{(-2 a-3 x^2) \sqrt [4]{-a-3 x^2}} \, dx\) [317]
  3.4.18 \(\int \genfrac {}{}{}{}{1}{(-2 a+b x^2) \sqrt [4]{-a+b x^2}} \, dx\) [318]
  3.4.19 \(\int \genfrac {}{}{}{}{1}{(-2 a-b x^2) \sqrt [4]{-a-b x^2}} \, dx\) [319]
  3.4.20 \(\int \genfrac {}{}{}{}{1}{(2-x^2) \sqrt [4]{-1+x^2}} \, dx\) [320]
  3.4.21 \(\int \genfrac {}{}{}{}{(a+b x^2)^{7/4}}{c+d x^2} \, dx\) [321]
  3.4.22 \(\int \genfrac {}{}{}{}{(a+b x^2)^{5/4}}{c+d x^2} \, dx\) [322]
  3.4.23 \(\int \genfrac {}{}{}{}{(a+b x^2)^{3/4}}{c+d x^2} \, dx\) [323]
  3.4.24 \(\int \genfrac {}{}{}{}{\sqrt [4]{a+b x^2}}{c+d x^2} \, dx\) [324]
  3.4.25 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^2} (c+d x^2)} \, dx\) [325]
  3.4.26 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{3/4} (c+d x^2)} \, dx\) [326]
  3.4.27 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{5/4} (c+d x^2)} \, dx\) [327]
  3.4.28 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{7/4} (c+d x^2)} \, dx\) [328]
  3.4.29 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{9/4} (c+d x^2)} \, dx\) [329]
  3.4.30 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{11/4} (c+d x^2)} \, dx\) [330]
  3.4.31 \(\int \genfrac {}{}{}{}{(a+b x^2)^{7/4}}{(c+d x^2)^2} \, dx\) [331]
  3.4.32 \(\int \genfrac {}{}{}{}{(a+b x^2)^{5/4}}{(c+d x^2)^2} \, dx\) [332]
  3.4.33 \(\int \genfrac {}{}{}{}{(a+b x^2)^{3/4}}{(c+d x^2)^2} \, dx\) [333]
  3.4.34 \(\int \genfrac {}{}{}{}{\sqrt [4]{a+b x^2}}{(c+d x^2)^2} \, dx\) [334]
  3.4.35 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^2} (c+d x^2)^2} \, dx\) [335]
  3.4.36 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{3/4} (c+d x^2)^2} \, dx\) [336]
  3.4.37 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{5/4} (c+d x^2)^2} \, dx\) [337]
  3.4.38 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{7/4} (c+d x^2)^2} \, dx\) [338]
  3.4.39 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{9/4} (c+d x^2)^2} \, dx\) [339]
  3.4.40 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{11/4} (c+d x^2)^2} \, dx\) [340]
  3.4.41 \(\int (a+b x^2)^p (c+d x^2)^q \, dx\) [341]
  3.4.42 \(\int (a+b x^2)^p (c+d x^2)^3 \, dx\) [342]
  3.4.43 \(\int (a+b x^2)^p (c+d x^2)^2 \, dx\) [343]
  3.4.44 \(\int (a+b x^2)^p (c+d x^2) \, dx\) [344]
  3.4.45 \(\int (a+b x^2)^p \, dx\) [345]
  3.4.46 \(\int \genfrac {}{}{}{}{(a+b x^2)^p}{c+d x^2} \, dx\) [346]
  3.4.47 \(\int \genfrac {}{}{}{}{(a+b x^2)^p}{(c+d x^2)^2} \, dx\) [347]
  3.4.48 \(\int \genfrac {}{}{}{}{(a+b x^2)^p}{(c+d x^2)^3} \, dx\) [348]
  3.4.49 \(\int (a+b x^2)^{-1-\genfrac {}{}{}{}{b c}{2 b c-2 a d}} (c+d x^2)^{-1+\genfrac {}{}{}{}{a d}{2 b c-2 a d}} \, dx\) [349]