3.4 Integrals 301 to 400

   \(\int \genfrac {}{}{}{}{\log ^3(c (d+e x^2)^p)}{(f+g x^3)^2} \, dx\) [301]
   \(\int \genfrac {}{}{}{}{(f+g x^3)^2}{\log (c (d+e x^2)^p)} \, dx\) [302]
   \(\int \genfrac {}{}{}{}{f+g x^3}{\log (c (d+e x^2)^p)} \, dx\) [303]
   \(\int \genfrac {}{}{}{}{1}{(f+g x^3) \log (c (d+e x^2)^p)} \, dx\) [304]
   \(\int \genfrac {}{}{}{}{1}{(f+g x^3)^2 \log (c (d+e x^2)^p)} \, dx\) [305]
   \(\int \genfrac {}{}{}{}{(f+g x^3)^2}{\log ^2(c (d+e x^2)^p)} \, dx\) [306]
   \(\int \genfrac {}{}{}{}{f+g x^3}{\log ^2(c (d+e x^2)^p)} \, dx\) [307]
   \(\int \genfrac {}{}{}{}{1}{(f+g x^3) \log ^2(c (d+e x^2)^p)} \, dx\) [308]
   \(\int \genfrac {}{}{}{}{1}{(f+g x^3)^2 \log ^2(c (d+e x^2)^p)} \, dx\) [309]
   \(\int x^5 (f+g x^2) \log (c (d+e x^2)^p) \, dx\) [310]
   \(\int x^3 (f+g x^2) \log (c (d+e x^2)^p) \, dx\) [311]
   \(\int x (f+g x^2) \log (c (d+e x^2)^p) \, dx\) [312]
   \(\int \genfrac {}{}{}{}{(f+g x^2) \log (c (d+e x^2)^p)}{x} \, dx\) [313]
   \(\int \genfrac {}{}{}{}{(f+g x^2) \log (c (d+e x^2)^p)}{x^3} \, dx\) [314]
   \(\int \genfrac {}{}{}{}{(f+g x^2) \log (c (d+e x^2)^p)}{x^5} \, dx\) [315]
   \(\int \genfrac {}{}{}{}{(f+g x^2) \log (c (d+e x^2)^p)}{x^7} \, dx\) [316]
   \(\int \genfrac {}{}{}{}{(f+g x^2) \log (c (d+e x^2)^p)}{x^9} \, dx\) [317]
   \(\int x^2 (f+g x^2) \log (c (d+e x^2)^p) \, dx\) [318]
   \(\int (f+g x^2) \log (c (d+e x^2)^p) \, dx\) [319]
   \(\int \genfrac {}{}{}{}{(f+g x^2) \log (c (d+e x^2)^p)}{x^2} \, dx\) [320]
   \(\int \genfrac {}{}{}{}{(f+g x^2) \log (c (d+e x^2)^p)}{x^4} \, dx\) [321]
   \(\int \genfrac {}{}{}{}{(f+g x^2) \log (c (d+e x^2)^p)}{x^6} \, dx\) [322]
   \(\int x^5 (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\) [323]
   \(\int x^3 (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\) [324]
   \(\int x (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\) [325]
   \(\int \genfrac {}{}{}{}{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x} \, dx\) [326]
   \(\int \genfrac {}{}{}{}{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^3} \, dx\) [327]
   \(\int \genfrac {}{}{}{}{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^5} \, dx\) [328]
   \(\int \genfrac {}{}{}{}{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^7} \, dx\) [329]
   \(\int \genfrac {}{}{}{}{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^9} \, dx\) [330]
   \(\int \genfrac {}{}{}{}{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^{11}} \, dx\) [331]
   \(\int x^2 (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\) [332]
   \(\int (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\) [333]
   \(\int \genfrac {}{}{}{}{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^2} \, dx\) [334]
   \(\int \genfrac {}{}{}{}{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^4} \, dx\) [335]
   \(\int \genfrac {}{}{}{}{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^6} \, dx\) [336]
   \(\int \genfrac {}{}{}{}{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^8} \, dx\) [337]
   \(\int \genfrac {}{}{}{}{x^5 \log (c (d+e x^2)^p)}{f+g x^2} \, dx\) [338]
   \(\int \genfrac {}{}{}{}{x^3 \log (c (d+e x^2)^p)}{f+g x^2} \, dx\) [339]
   \(\int \genfrac {}{}{}{}{x \log (c (d+e x^2)^p)}{f+g x^2} \, dx\) [340]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^2)^p)}{x (f+g x^2)} \, dx\) [341]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^2)^p)}{x^3 (f+g x^2)} \, dx\) [342]
   \(\int \genfrac {}{}{}{}{x^4 \log (c (d+e x^2)^p)}{f+g x^2} \, dx\) [343]
   \(\int \genfrac {}{}{}{}{x^2 \log (c (d+e x^2)^p)}{f+g x^2} \, dx\) [344]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^2)^p)}{f+g x^2} \, dx\) [345]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^2)^p)}{x^2 (f+g x^2)} \, dx\) [346]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^2)^p)}{x^4 (f+g x^2)} \, dx\) [347]
   \(\int \genfrac {}{}{}{}{x^5 \log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\) [348]
   \(\int \genfrac {}{}{}{}{x^3 \log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\) [349]
   \(\int \genfrac {}{}{}{}{x \log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\) [350]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^2)^p)}{x (f+g x^2)^2} \, dx\) [351]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^2)^p)}{x^3 (f+g x^2)^2} \, dx\) [352]
   \(\int \genfrac {}{}{}{}{x^4 \log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\) [353]
   \(\int \genfrac {}{}{}{}{x^2 \log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\) [354]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\) [355]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^2)^p)}{x^2 (f+g x^2)^2} \, dx\) [356]
   \(\int \genfrac {}{}{}{}{\log (c (a+b x^2)^n)}{a+b x^2} \, dx\) [357]
   \(\int \genfrac {}{}{}{}{\log (1-x^2)}{2-x^2} \, dx\) [358]
   \(\int \genfrac {}{}{}{}{\log (d+e x^2)}{1-x^2} \, dx\) [359]
   \(\int \genfrac {}{}{}{}{(f+g x^{3 n}) \log (c (d+e x^n)^p)}{x} \, dx\) [360]
   \(\int \genfrac {}{}{}{}{(f+g x^{2 n}) \log (c (d+e x^n)^p)}{x} \, dx\) [361]
   \(\int \genfrac {}{}{}{}{(f+g x^n) \log (c (d+e x^n)^p)}{x} \, dx\) [362]
   \(\int \genfrac {}{}{}{}{(f+g x^{-n}) \log (c (d+e x^n)^p)}{x} \, dx\) [363]
   \(\int \genfrac {}{}{}{}{(f+g x^{-2 n}) \log (c (d+e x^n)^p)}{x} \, dx\) [364]
   \(\int \genfrac {}{}{}{}{(f+g x^{3 n})^2 \log (c (d+e x^n)^p)}{x} \, dx\) [365]
   \(\int \genfrac {}{}{}{}{(f+g x^{2 n})^2 \log (c (d+e x^n)^p)}{x} \, dx\) [366]
   \(\int \genfrac {}{}{}{}{(f+g x^n)^2 \log (c (d+e x^n)^p)}{x} \, dx\) [367]
   \(\int \genfrac {}{}{}{}{(f+g x^{-n})^2 \log (c (d+e x^n)^p)}{x} \, dx\) [368]
   \(\int \genfrac {}{}{}{}{(f+g x^{-2 n})^2 \log (c (d+e x^n)^p)}{x} \, dx\) [369]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^n)^p)}{x (f+g x^{2 n})} \, dx\) [370]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^n)^p)}{x (f+g x^n)} \, dx\) [371]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^n)^p)}{x (f+g x^{-n})} \, dx\) [372]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^n)^p)}{x (f+g x^{-2 n})} \, dx\) [373]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^n)^p)}{x (f+g x^{2 n})^2} \, dx\) [374]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^n)^p)}{x (f+g x^n)^2} \, dx\) [375]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^n)^p)}{x (f+g x^{-n})^2} \, dx\) [376]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^n)^p)}{x (f+g x^{-2 n})^2} \, dx\) [377]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^n))}{x (c e-(1-c d) x^{-n})} \, dx\) [378]
   \(\int \genfrac {}{}{}{}{x^{-1+n} \log (c (d+e x^n))}{-1+c d+c e x^n} \, dx\) [379]
   \(\int \genfrac {}{}{}{}{\log (c (d+e x^{-n}))}{x (c e-(1-c d) x^n)} \, dx\) [380]
   \(\int \genfrac {}{}{}{}{(f+g x^{2 n})^2 \log ^q(c (d+e x^n)^p)}{x} \, dx\) [381]
   \(\int \genfrac {}{}{}{}{(f+g x^n)^2 \log ^q(c (d+e x^n)^p)}{x} \, dx\) [382]
   \(\int \genfrac {}{}{}{}{(f+g x^{-n})^2 \log ^q(c (d+e x^n)^p)}{x} \, dx\) [383]
   \(\int \genfrac {}{}{}{}{(f+g x^{-2 n})^2 \log ^q(c (d+e x^n)^p)}{x} \, dx\) [384]
   \(\int \genfrac {}{}{}{}{\log ^q(c (d+e x^n)^p)}{x (f+g x^{2 n})} \, dx\) [385]
   \(\int \genfrac {}{}{}{}{\log ^q(c (d+e x^n)^p)}{x (f+g x^n)} \, dx\) [386]
   \(\int \genfrac {}{}{}{}{\log ^q(c (d+e x^n)^p)}{x (f+g x^{-n})} \, dx\) [387]
   \(\int \genfrac {}{}{}{}{\log ^q(c (d+e x^n)^p)}{x (f+g x^{-2 n})} \, dx\) [388]
   \(\int \genfrac {}{}{}{}{\log (x) \log (d+e x^m)}{x} \, dx\) [389]
   \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{a+x}{x})}{x} \, dx\) [390]
   \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{a+x^2}{x^2})}{x} \, dx\) [391]
   \(\int \genfrac {}{}{}{}{\log (x^{-n} (a+x^n))}{x} \, dx\) [392]
   \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{a+b x}{x})}{x} \, dx\) [393]
   \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{a+b x^2}{x^2})}{x} \, dx\) [394]
   \(\int \genfrac {}{}{}{}{\log (x^{-n} (a+b x^n))}{x} \, dx\) [395]
   \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{a+b x}{x})}{c+d x} \, dx\) [396]
   \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{a+b x^2}{x^2})}{c+d x} \, dx\) [397]
   \(\int \genfrac {}{}{}{}{\log (x^{-n} (a+b x^n))}{c+d x} \, dx\) [398]
   \(\int (f x)^q (a+b \log (c (d+e x^m)^n)) \, dx\) [399]
   \(\int x^3 (a+b \log (c (d+e \sqrt {x})^n)) \, dx\) [400]