3.7 Integrals 601 to 641

  3.7.1 \(\int x^2 (a+b \log (c (d+\genfrac {}{}{}{}{e}{x^{2/3}})^2))^p \, dx\) [601]
  3.7.2 \(\int x (a+b \log (c (d+\genfrac {}{}{}{}{e}{x^{2/3}})^2))^p \, dx\) [602]
  3.7.3 \(\int (a+b \log (c (d+\genfrac {}{}{}{}{e}{x^{2/3}})^2))^p \, dx\) [603]
  3.7.4 \(\int \genfrac {}{}{}{}{(a+b \log (c (d+\genfrac {}{}{}{}{e}{x^{2/3}})^2))^p}{x} \, dx\) [604]
  3.7.5 \(\int \genfrac {}{}{}{}{(a+b \log (c (d+\genfrac {}{}{}{}{e}{x^{2/3}})^2))^p}{x^2} \, dx\) [605]
  3.7.6 \(\int \genfrac {}{}{}{}{(f+g x) (a+b \log (c (d+e x^2)^p))}{\sqrt {h x}} \, dx\) [606]
  3.7.7 \(\int \genfrac {}{}{}{}{(f+g x) (a+b \log (c (d+e x^2)^p))}{(h x)^{3/2}} \, dx\) [607]
  3.7.8 \(\int \genfrac {}{}{}{}{(f+g x) (a+b \log (c (d+e x^2)^p))}{(h x)^{5/2}} \, dx\) [608]
  3.7.9 \(\int \genfrac {}{}{}{}{(f+g x) (a+b \log (c (d+e x^2)^p))}{(h x)^{7/2}} \, dx\) [609]
  3.7.10 \(\int \genfrac {}{}{}{}{(f+g x) (a+b \log (c (d+e x^2)^p))}{(h x)^{9/2}} \, dx\) [610]
  3.7.11 \(\int \genfrac {}{}{}{}{(f+g x)^2 (a+b \log (c (d+e x^2)^p))}{\sqrt {h x}} \, dx\) [611]
  3.7.12 \(\int \genfrac {}{}{}{}{(f+g x)^2 (a+b \log (c (d+e x^2)^p))}{(h x)^{3/2}} \, dx\) [612]
  3.7.13 \(\int \genfrac {}{}{}{}{(f+g x)^2 (a+b \log (c (d+e x^2)^p))}{(h x)^{5/2}} \, dx\) [613]
  3.7.14 \(\int \genfrac {}{}{}{}{(f+g x)^2 (a+b \log (c (d+e x^2)^p))}{(h x)^{7/2}} \, dx\) [614]
  3.7.15 \(\int \genfrac {}{}{}{}{(f+g x)^2 (a+b \log (c (d+e x^2)^p))}{(h x)^{9/2}} \, dx\) [615]
  3.7.16 \(\int \genfrac {}{}{}{}{\sqrt {h x} (a+b \log (c (d+e x^2)^p))}{f+g x} \, dx\) [616]
  3.7.17 \(\int \genfrac {}{}{}{}{a+b \log (c (d+e x^2)^p)}{\sqrt {h x} (f+g x)} \, dx\) [617]
  3.7.18 \(\int \genfrac {}{}{}{}{a+b \log (c (d+e x^2)^p)}{(h x)^{3/2} (f+g x)} \, dx\) [618]
  3.7.19 \(\int \genfrac {}{}{}{}{\log (f x^p) \log (1+e x^m)}{x} \, dx\) [619]
  3.7.20 \(\int \genfrac {}{}{}{}{x^{-1+m} \log ^2(f x^p)}{d+e x^m} \, dx\) [620]
  3.7.21 \(\int \genfrac {}{}{}{}{\log ^3(f x^p) (a+b \log (c (d+e x^m)^n))}{x} \, dx\) [621]
  3.7.22 \(\int \genfrac {}{}{}{}{\log ^2(f x^p) (a+b \log (c (d+e x^m)^n))}{x} \, dx\) [622]
  3.7.23 \(\int \genfrac {}{}{}{}{\log (f x^p) (a+b \log (c (d+e x^m)^n))}{x} \, dx\) [623]
  3.7.24 \(\int \genfrac {}{}{}{}{a+b \log (c (d+e x^m)^n)}{x} \, dx\) [624]
  3.7.25 \(\int \genfrac {}{}{}{}{a+b \log (c (d+e x^m)^n)}{x \log (f x^p)} \, dx\) [625]
  3.7.26 \(\int \genfrac {}{}{}{}{a+b \log (c (d+e x^m)^n)}{x \log ^2(f x^p)} \, dx\) [626]
  3.7.27 \(\int \genfrac {}{}{}{}{a+b \log (c (d+e x^m)^n)}{x \log ^3(f x^p)} \, dx\) [627]
  3.7.28 \(\int \log (c (d+e (f+g x)^p)^q) \, dx\) [628]
  3.7.29 \(\int \log (c (d+e (f+g x)^3)^q) \, dx\) [629]
  3.7.30 \(\int \log (c (d+e (f+g x)^2)^q) \, dx\) [630]
  3.7.31 \(\int \log (c (d+e (f+g x))^q) \, dx\) [631]
  3.7.32 \(\int \log (c (d+\genfrac {}{}{}{}{e}{f+g x})^q) \, dx\) [632]
  3.7.33 \(\int \log (c (d+\genfrac {}{}{}{}{e}{(f+g x)^2})^q) \, dx\) [633]
  3.7.34 \(\int \log (c (d+\genfrac {}{}{}{}{e}{(f+g x)^3})^q) \, dx\) [634]
  3.7.35 \(\int (a+b \log (c (d+\genfrac {}{}{}{}{e}{f+g x})^p))^n \, dx\) [635]
  3.7.36 \(\int (a+b \log (c (d+\genfrac {}{}{}{}{e}{f+g x})^p))^4 \, dx\) [636]
  3.7.37 \(\int (a+b \log (c (d+\genfrac {}{}{}{}{e}{f+g x})^p))^3 \, dx\) [637]
  3.7.38 \(\int (a+b \log (c (d+\genfrac {}{}{}{}{e}{f+g x})^p))^2 \, dx\) [638]
  3.7.39 \(\int (a+b \log (c (d+\genfrac {}{}{}{}{e}{f+g x})^p)) \, dx\) [639]
  3.7.40 \(\int \genfrac {}{}{}{}{1}{a+b \log (c (d+\genfrac {}{}{}{}{e}{f+g x})^p)} \, dx\) [640]
  3.7.41 \(\int \genfrac {}{}{}{}{1}{(a+b \log (c (d+\genfrac {}{}{}{}{e}{f+g x})^p))^2} \, dx\) [641]