3.5 Integrals 401 to 500

\(\int \genfrac {}{}{}{}{(a+b \log (c (d+e x)^n)) \log (\genfrac {}{}{}{}{e (f+g x)}{e f-d g})}{d+e x} \, dx\) [401]
\(\int \genfrac {}{}{}{}{\log (c (d+e x)) (a+b \log (c (d+e x)))}{(d+e x)^2} \, dx\) [402]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d+e x))) (f+g \log (c (d+e x)))}{(d+e x)^2} \, dx\) [403]
\(\int x^2 (a+b \log (c x^n)) (d+e \log (f (g+h x)^q)) \, dx\) [404]
\(\int x (a+b \log (c x^n)) (d+e \log (f (g+h x)^q)) \, dx\) [405]
\(\int (a+b \log (c x^n)) (d+e \log (f (g+h x)^q)) \, dx\) [406]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) (d+e \log (f (g+h x)^q))}{x} \, dx\) [407]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) (d+e \log (f (g+h x)^q))}{x^2} \, dx\) [408]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) (d+e \log (f (g+h x)^q))}{x^3} \, dx\) [409]
\(\int x^2 (a+b \log (c x^n))^2 (d+e \log (f (g+h x)^q)) \, dx\) [410]
\(\int x (a+b \log (c x^n))^2 (d+e \log (f (g+h x)^q)) \, dx\) [411]
\(\int (a+b \log (c x^n))^2 (d+e \log (f (g+h x)^q)) \, dx\) [412]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^2 (d+e \log (f (g+h x)^q))}{x} \, dx\) [413]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^2 (d+e \log (f (g+h x)^q))}{x^2} \, dx\) [414]
\(\int (s+t x) (a+b \log (c x^n)) (d+e \log (f (g+h x)^q)) \, dx\) [415]
\(\int (s+t x)^2 (a+b \log (c x^n)) (d+e \log (f (g+h x)^q)) \, dx\) [416]
\(\int (s+t x) (a+b \log (c x^n))^2 (d+e \log (f (g+h x)^q)) \, dx\) [417]
\(\int (s+t x)^2 (a+b \log (c x^n))^2 (d+e \log (f (g+h x)^q)) \, dx\) [418]
\(\int (s+t x) (a+b \log (c (d+e x)^n)) (f+g \log (h (i+j x)^m)) \, dx\) [419]
\(\int (s+t x)^2 (a+b \log (c (d+e x)^n)) (f+g \log (h (i+j x)^m)) \, dx\) [420]
\(\int (s+t x) (a+b \log (c (d+e x)^n))^2 (f+g \log (h (i+j x)^m)) \, dx\) [421]
\(\int (s+t x)^2 (a+b \log (c (d+e x)^n))^2 (f+g \log (h (i+j x)^m)) \, dx\) [422]
\(\int (a+b \log (c (d (e+f x)^m)^n))^4 \, dx\) [423]
\(\int (a+b \log (c (d (e+f x)^m)^n))^3 \, dx\) [424]
\(\int (a+b \log (c (d (e+f x)^m)^n))^2 \, dx\) [425]
\(\int (a+b \log (c (d (e+f x)^m)^n)) \, dx\) [426]
\(\int \genfrac {}{}{}{}{1}{a+b \log (c (d (e+f x)^m)^n)} \, dx\) [427]
\(\int \genfrac {}{}{}{}{1}{(a+b \log (c (d (e+f x)^m)^n))^2} \, dx\) [428]
\(\int \genfrac {}{}{}{}{1}{(a+b \log (c (d (e+f x)^m)^n))^3} \, dx\) [429]
\(\int (a+b \log (c (d (e+f x)^m)^n))^{5/2} \, dx\) [430]
\(\int (a+b \log (c (d (e+f x)^m)^n))^{3/2} \, dx\) [431]
\(\int \sqrt {a+b \log (c (d (e+f x)^m)^n)} \, dx\) [432]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \log (c (d (e+f x)^m)^n)}} \, dx\) [433]
\(\int \genfrac {}{}{}{}{1}{(a+b \log (c (d (e+f x)^m)^n))^{3/2}} \, dx\) [434]
\(\int \genfrac {}{}{}{}{1}{(a+b \log (c (d (e+f x)^m)^n))^{5/2}} \, dx\) [435]
\(\int \genfrac {}{}{}{}{1}{(a+b \log (c (d (e+f x)^m)^n))^{7/2}} \, dx\) [436]
\(\int (a+b \log (c (d (e+f x)^m)^n))^p \, dx\) [437]
\(\int (a+b \log (c \sqrt {d \sqrt {e+f x}}))^p \, dx\) [438]
\(\int (g+h x)^3 (a+b \log (c (d (e+f x)^p)^q)) \, dx\) [439]
\(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q)) \, dx\) [440]
\(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q)) \, dx\) [441]
\(\int (a+b \log (c (d (e+f x)^p)^q)) \, dx\) [442]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{g+h x} \, dx\) [443]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^2} \, dx\) [444]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^3} \, dx\) [445]
\(\int \genfrac {}{}{}{}{a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^4} \, dx\) [446]
\(\int (g+h x)^3 (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\) [447]
\(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\) [448]
\(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\) [449]
\(\int (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\) [450]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\) [451]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^2} \, dx\) [452]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^3} \, dx\) [453]
\(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^3 \, dx\) [454]
\(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q))^3 \, dx\) [455]
\(\int (a+b \log (c (d (e+f x)^p)^q))^3 \, dx\) [456]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\) [457]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^3}{(g+h x)^2} \, dx\) [458]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^3}{(g+h x)^3} \, dx\) [459]
\(\int (a+b \log (c (d (e+f x)^p)^q))^4 \, dx\) [460]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^4}{g+h x} \, dx\) [461]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^4}{(g+h x)^2} \, dx\) [462]
\(\int \log (c (d (e+f x)^p)^q) \, dx\) [463]
\(\int \genfrac {}{}{}{}{(g+h x)^2}{a+b \log (c (d (e+f x)^p)^q)} \, dx\) [464]
\(\int \genfrac {}{}{}{}{g+h x}{a+b \log (c (d (e+f x)^p)^q)} \, dx\) [465]
\(\int \genfrac {}{}{}{}{1}{a+b \log (c (d (e+f x)^p)^q)} \, dx\) [466]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [467]
\(\int \genfrac {}{}{}{}{1}{(g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))} \, dx\) [468]
\(\int \genfrac {}{}{}{}{(g+h x)^2}{(a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [469]
\(\int \genfrac {}{}{}{}{g+h x}{(a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [470]
\(\int \genfrac {}{}{}{}{1}{(a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [471]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [472]
\(\int \genfrac {}{}{}{}{1}{(g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\) [473]
\(\int \genfrac {}{}{}{}{(g+h x)^2}{(a+b \log (c (d (e+f x)^p)^q))^3} \, dx\) [474]
\(\int \genfrac {}{}{}{}{g+h x}{(a+b \log (c (d (e+f x)^p)^q))^3} \, dx\) [475]
\(\int \genfrac {}{}{}{}{1}{(a+b \log (c (d (e+f x)^p)^q))^3} \, dx\) [476]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^3} \, dx\) [477]
\(\int \genfrac {}{}{}{}{1}{(g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^3} \, dx\) [478]
\(\int (g+h x)^2 \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\) [479]
\(\int (g+h x) \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\) [480]
\(\int \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\) [481]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}}{g+h x} \, dx\) [482]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}}{(g+h x)^2} \, dx\) [483]
\(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^{3/2} \, dx\) [484]
\(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q))^{3/2} \, dx\) [485]
\(\int (a+b \log (c (d (e+f x)^p)^q))^{3/2} \, dx\) [486]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}}{g+h x} \, dx\) [487]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}}{(g+h x)^2} \, dx\) [488]
\(\int \genfrac {}{}{}{}{(g+h x)^2}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [489]
\(\int \genfrac {}{}{}{}{g+h x}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [490]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [491]
\(\int \genfrac {}{}{}{}{1}{(g+h x) \sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\) [492]
\(\int \genfrac {}{}{}{}{(g+h x)^2}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\) [493]
\(\int \genfrac {}{}{}{}{g+h x}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\) [494]
\(\int \genfrac {}{}{}{}{1}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\) [495]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\) [496]
\(\int \genfrac {}{}{}{}{(g+h x)^2}{(a+b \log (c (d (e+f x)^p)^q))^{5/2}} \, dx\) [497]
\(\int \genfrac {}{}{}{}{g+h x}{(a+b \log (c (d (e+f x)^p)^q))^{5/2}} \, dx\) [498]
\(\int \genfrac {}{}{}{}{1}{(a+b \log (c (d (e+f x)^p)^q))^{5/2}} \, dx\) [499]
\(\int \genfrac {}{}{}{}{1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^{5/2}} \, dx\) [500]