3.4 Integrals 301 to 400

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