3.6 Integrals 501 to 547

  3.6.1 \(\int \genfrac {}{}{}{}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}}{\sqrt {g+h x}} \, dx\) [501]
  3.6.2 \(\int \genfrac {}{}{}{}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}}{(g+h x)^{3/2}} \, dx\) [502]
  3.6.3 \(\int \genfrac {}{}{}{}{\sqrt {g+h x}}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [503]
  3.6.4 \(\int \genfrac {}{}{}{}{1}{\sqrt {g+h x} \sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [504]
  3.6.5 \(\int \genfrac {}{}{}{}{1}{(g+h x)^{3/2} \sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [505]
  3.6.6 \(\int (g+h x)^m (a+b \log (c (d (e+f x)^p)^q)) \, dx\) [506]
  3.6.7 \(\int \genfrac {}{}{}{}{(g+h x)^m}{a+b \log (c (d (e+f x)^p)^q)} \, dx\) [507]
  3.6.8 \(\int \genfrac {}{}{}{}{(g+h x)^m}{(a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [508]
  3.6.9 \(\int (g+h x)^m (a+b \log (c (d (e+f x)^p)^q))^{3/2} \, dx\) [509]
  3.6.10 \(\int (g+h x)^m \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\) [510]
  3.6.11 \(\int \genfrac {}{}{}{}{(g+h x)^m}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [511]
  3.6.12 \(\int \genfrac {}{}{}{}{(g+h x)^m}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\) [512]
  3.6.13 \(\int (g+h x)^m (a+b \log (c (d (e+f x)^p)^q))^n \, dx\) [513]
  3.6.14 \(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^n \, dx\) [514]
  3.6.15 \(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q))^n \, dx\) [515]
  3.6.16 \(\int (a+b \log (c (d (e+f x)^p)^q))^n \, dx\) [516]
  3.6.17 \(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^n}{g+h x} \, dx\) [517]
  3.6.18 \(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{g+h x^2} \, dx\) [518]
  3.6.19 \(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{\sqrt {2+h x^2}} \, dx\) [519]
  3.6.20 \(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{\sqrt {g+h x^2}} \, dx\) [520]
  3.6.21 \(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{\sqrt {2-h x} \sqrt {2+h x}} \, dx\) [521]
  3.6.22 \(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{\sqrt {g-h x} \sqrt {g+h x}} \, dx\) [522]
  3.6.23 \(\int \genfrac {}{}{}{}{(i+j x)^3 (a+b \log (c (d (e+f x)^p)^q))}{g+h x} \, dx\) [523]
  3.6.24 \(\int \genfrac {}{}{}{}{(i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))}{g+h x} \, dx\) [524]
  3.6.25 \(\int \genfrac {}{}{}{}{(i+j x) (a+b \log (c (d (e+f x)^p)^q))}{g+h x} \, dx\) [525]
  3.6.26 \(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{g+h x} \, dx\) [526]
  3.6.27 \(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x) (i+j x)} \, dx\) [527]
  3.6.28 \(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x) (i+j x)^2} \, dx\) [528]
  3.6.29 \(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x) (i+j x)^3} \, dx\) [529]
  3.6.30 \(\int \genfrac {}{}{}{}{(i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\) [530]
  3.6.31 \(\int \genfrac {}{}{}{}{(i+j x) (a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\) [531]
  3.6.32 \(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\) [532]
  3.6.33 \(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x) (i+j x)} \, dx\) [533]
  3.6.34 \(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x) (i+j x)^2} \, dx\) [534]
  3.6.35 \(\int \genfrac {}{}{}{}{(i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\) [535]
  3.6.36 \(\int \genfrac {}{}{}{}{(i+j x) (a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\) [536]
  3.6.37 \(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\) [537]
  3.6.38 \(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^3}{(g+h x) (i+j x)} \, dx\) [538]
  3.6.39 \(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^3}{(g+h x) (i+j x)^2} \, dx\) [539]
  3.6.40 \(\int \genfrac {}{}{}{}{i+j x}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [540]
  3.6.41 \(\int \genfrac {}{}{}{}{1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [541]
  3.6.42 \(\int \genfrac {}{}{}{}{1}{(g+h x) (i+j x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [542]
  3.6.43 \(\int \genfrac {}{}{}{}{1}{(g+h x) (i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [543]
  3.6.44 \(\int \genfrac {}{}{}{}{i+j x}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [544]
  3.6.45 \(\int \genfrac {}{}{}{}{1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [545]
  3.6.46 \(\int \genfrac {}{}{}{}{1}{(g+h x) (i+j x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [546]
  3.6.47 \(\int \genfrac {}{}{}{}{1}{(g+h x) (i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [547]