3.6 Integrals 501 to 566

\(\int (g+h x)^{3/2} (a+b \log (c (d (e+f x)^p)^q)) \, dx\) [501]
\(\int \sqrt {g+h x} (a+b \log (c (d (e+f x)^p)^q)) \, dx\) [502]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{\sqrt {g+h x}} \, dx\) [503]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^{3/2}} \, dx\) [504]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^{5/2}} \, dx\) [505]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^{7/2}} \, dx\) [506]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^{9/2}} \, dx\) [507]
\(\int (g+h x)^{3/2} (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\) [508]
\(\int \sqrt {g+h x} (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\) [509]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{\sqrt {g+h x}} \, dx\) [510]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^{3/2}} \, dx\) [511]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^{5/2}} \, dx\) [512]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^{7/2}} \, dx\) [513]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^{9/2}} \, dx\) [514]
\(\int \genfrac {}{}{}{}{(g+h x)^{3/2}}{a+b \log (c (d (e+f x)^p)^q)} \, dx\) [515]
\(\int \genfrac {}{}{}{}{\sqrt {g+h x}}{a+b \log (c (d (e+f x)^p)^q)} \, dx\) [516]
\(\int \genfrac {}{}{}{}{1}{\sqrt {g+h x} (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [517]
\(\int \genfrac {}{}{}{}{1}{(g+h x)^{3/2} (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [518]
\(\int \sqrt {g+h x} \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\) [519]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}}{\sqrt {g+h x}} \, dx\) [520]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}}{(g+h x)^{3/2}} \, dx\) [521]
\(\int \genfrac {}{}{}{}{\sqrt {g+h x}}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [522]
\(\int \genfrac {}{}{}{}{1}{\sqrt {g+h x} \sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [523]
\(\int \genfrac {}{}{}{}{1}{(g+h x)^{3/2} \sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [524]
\(\int (g+h x)^m (a+b \log (c (d (e+f x)^p)^q)) \, dx\) [525]
\(\int \genfrac {}{}{}{}{(g+h x)^m}{a+b \log (c (d (e+f x)^p)^q)} \, dx\) [526]
\(\int \genfrac {}{}{}{}{(g+h x)^m}{(a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [527]
\(\int (g+h x)^m (a+b \log (c (d (e+f x)^p)^q))^{3/2} \, dx\) [528]
\(\int (g+h x)^m \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\) [529]
\(\int \genfrac {}{}{}{}{(g+h x)^m}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [530]
\(\int \genfrac {}{}{}{}{(g+h x)^m}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\) [531]
\(\int (g+h x)^m (a+b \log (c (d (e+f x)^p)^q))^n \, dx\) [532]
\(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^n \, dx\) [533]
\(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q))^n \, dx\) [534]
\(\int (a+b \log (c (d (e+f x)^p)^q))^n \, dx\) [535]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^n}{g+h x} \, dx\) [536]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{g+h x^2} \, dx\) [537]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{\sqrt {2+h x^2}} \, dx\) [538]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{\sqrt {g+h x^2}} \, dx\) [539]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{\sqrt {2-h x} \sqrt {2+h x}} \, dx\) [540]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{\sqrt {g-h x} \sqrt {g+h x}} \, dx\) [541]
\(\int \genfrac {}{}{}{}{(i+j x)^3 (a+b \log (c (d (e+f x)^p)^q))}{g+h x} \, dx\) [542]
\(\int \genfrac {}{}{}{}{(i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))}{g+h x} \, dx\) [543]
\(\int \genfrac {}{}{}{}{(i+j x) (a+b \log (c (d (e+f x)^p)^q))}{g+h x} \, dx\) [544]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{g+h x} \, dx\) [545]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x) (i+j x)} \, dx\) [546]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x) (i+j x)^2} \, dx\) [547]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x) (i+j x)^3} \, dx\) [548]
\(\int \genfrac {}{}{}{}{(i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\) [549]
\(\int \genfrac {}{}{}{}{(i+j x) (a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\) [550]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\) [551]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x) (i+j x)} \, dx\) [552]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x) (i+j x)^2} \, dx\) [553]
\(\int \genfrac {}{}{}{}{(i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\) [554]
\(\int \genfrac {}{}{}{}{(i+j x) (a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\) [555]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\) [556]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^3}{(g+h x) (i+j x)} \, dx\) [557]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^3}{(g+h x) (i+j x)^2} \, dx\) [558]
\(\int \genfrac {}{}{}{}{i+j x}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [559]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [560]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (i+j x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [561]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [562]
\(\int \genfrac {}{}{}{}{i+j x}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [563]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [564]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (i+j x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [565]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [566]