3.5 Integrals 401 to 456

  3.5.1 \(\int \genfrac {}{}{}{}{(d+e x^r)^3 (a+b \log (c x^n))}{x^2} \, dx\) [401]
  3.5.2 \(\int \genfrac {}{}{}{}{(d+e x^r)^3 (a+b \log (c x^n))}{x^4} \, dx\) [402]
  3.5.3 \(\int \genfrac {}{}{}{}{(d+e x^r)^3 (a+b \log (c x^n))}{x^6} \, dx\) [403]
  3.5.4 \(\int \genfrac {}{}{}{}{(d+e x^r)^3 (a+b \log (c x^n))}{x^8} \, dx\) [404]
  3.5.5 \(\int \genfrac {}{}{}{}{(d+e x^r)^3 (a+b \log (c x^n))}{x^{10}} \, dx\) [405]
  3.5.6 \(\int \genfrac {}{}{}{}{x^3 (a+b \log (c x^n))}{d+e x^r} \, dx\) [406]
  3.5.7 \(\int \genfrac {}{}{}{}{x (a+b \log (c x^n))}{d+e x^r} \, dx\) [407]
  3.5.8 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x (d+e x^r)} \, dx\) [408]
  3.5.9 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x^3 (d+e x^r)} \, dx\) [409]
  3.5.10 \(\int \genfrac {}{}{}{}{x^2 (a+b \log (c x^n))}{d+e x^r} \, dx\) [410]
  3.5.11 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{d+e x^r} \, dx\) [411]
  3.5.12 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x^2 (d+e x^r)} \, dx\) [412]
  3.5.13 \(\int \genfrac {}{}{}{}{x^3 (a+b \log (c x^n))}{(d+e x^r)^2} \, dx\) [413]
  3.5.14 \(\int \genfrac {}{}{}{}{x (a+b \log (c x^n))}{(d+e x^r)^2} \, dx\) [414]
  3.5.15 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x (d+e x^r)^2} \, dx\) [415]
  3.5.16 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x^3 (d+e x^r)^2} \, dx\) [416]
  3.5.17 \(\int \genfrac {}{}{}{}{x^2 (a+b \log (c x^n))}{(d+e x^r)^2} \, dx\) [417]
  3.5.18 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{(d+e x^r)^2} \, dx\) [418]
  3.5.19 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x^2 (d+e x^r)^2} \, dx\) [419]
  3.5.20 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x (c-x^{-n})} \, dx\) [420]
  3.5.21 \(\int \genfrac {}{}{}{}{(d+e x^r)^3 (a+b \log (c x^n))}{x} \, dx\) [421]
  3.5.22 \(\int \genfrac {}{}{}{}{(d+e x^r)^2 (a+b \log (c x^n))}{x} \, dx\) [422]
  3.5.23 \(\int \genfrac {}{}{}{}{(d+e x^r) (a+b \log (c x^n))}{x} \, dx\) [423]
  3.5.24 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x (d+e x^r)} \, dx\) [424]
  3.5.25 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x (d+e x^r)^2} \, dx\) [425]
  3.5.26 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x (d+e x^r)^3} \, dx\) [426]
  3.5.27 \(\int \genfrac {}{}{}{}{(d+e x^r)^3 (a+b \log (c x^n))^2}{x} \, dx\) [427]
  3.5.28 \(\int \genfrac {}{}{}{}{(d+e x^r)^2 (a+b \log (c x^n))^2}{x} \, dx\) [428]
  3.5.29 \(\int \genfrac {}{}{}{}{(d+e x^r) (a+b \log (c x^n))^2}{x} \, dx\) [429]
  3.5.30 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^2}{x (d+e x^r)} \, dx\) [430]
  3.5.31 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^2}{x (d+e x^r)^2} \, dx\) [431]
  3.5.32 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^2}{x (d+e x^r)^3} \, dx\) [432]
  3.5.33 \(\int \genfrac {}{}{}{}{(d+e x^r)^{5/2} (a+b \log (c x^n))}{x} \, dx\) [433]
  3.5.34 \(\int \genfrac {}{}{}{}{(d+e x^r)^{3/2} (a+b \log (c x^n))}{x} \, dx\) [434]
  3.5.35 \(\int \genfrac {}{}{}{}{\sqrt {d+e x^r} (a+b \log (c x^n))}{x} \, dx\) [435]
  3.5.36 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x \sqrt {d+e x^r}} \, dx\) [436]
  3.5.37 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x (d+e x^r)^{3/2}} \, dx\) [437]
  3.5.38 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x (d+e x^r)^{5/2}} \, dx\) [438]
  3.5.39 \(\int \genfrac {}{}{}{}{a+b \log (c x^n)}{x (d+e x^r)^{7/2}} \, dx\) [439]
  3.5.40 \(\int (f x)^m (d+e x^r)^3 (a+b \log (c x^n)) \, dx\) [440]
  3.5.41 \(\int (f x)^m (d+e x^r)^2 (a+b \log (c x^n)) \, dx\) [441]
  3.5.42 \(\int (f x)^m (d+e x^r) (a+b \log (c x^n)) \, dx\) [442]
  3.5.43 \(\int (f x)^m (a+b \log (c x^n)) \, dx\) [443]
  3.5.44 \(\int \genfrac {}{}{}{}{(f x)^m (a+b \log (c x^n))}{d+e x^r} \, dx\) [444]
  3.5.45 \(\int \genfrac {}{}{}{}{(f x)^m (a+b \log (c x^n))}{(d+e x^r)^2} \, dx\) [445]
  3.5.46 \(\int (d+e x^{-\genfrac {}{}{}{}{1}{1+q}})^q (a+b \log (c x^n)) \, dx\) [446]
  3.5.47 \(\int (f x)^{-1-(1+q) r} (d+e x^r)^q (a+b \log (c x^n)) \, dx\) [447]
  3.5.48 \(\int (f x)^m (d+e x^r)^3 (a+b \log (c x^n))^p \, dx\) [448]
  3.5.49 \(\int (f x)^m (d+e x^r)^2 (a+b \log (c x^n))^p \, dx\) [449]
  3.5.50 \(\int (f x)^m (d+e x^r) (a+b \log (c x^n))^p \, dx\) [450]
  3.5.51 \(\int (f x)^m (a+b \log (c x^n))^p \, dx\) [451]
  3.5.52 \(\int \genfrac {}{}{}{}{(f x)^m (a+b \log (c x^n))^p}{d+e x^r} \, dx\) [452]
  3.5.53 \(\int \genfrac {}{}{}{}{(f x)^m (a+b \log (c x^n))^p}{(d+e x^r)^2} \, dx\) [453]
  3.5.54 \(\int \genfrac {}{}{}{}{(f+g x) (a+b \log (c x^n))}{(d+e x)^3} \, dx\) [454]
  3.5.55 \(\int \genfrac {}{}{}{}{(f+g x) (a+b \log (c x^n))^2}{(d+e x)^3} \, dx\) [455]
  3.5.56 \(\int \genfrac {}{}{}{}{(f+g x) (a+b \log (c x^n))^3}{(d+e x)^3} \, dx\) [456]