3.3 Integrals 201 to 300

\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{(d+e x) \sqrt {f+g x}} \, dx\) [201]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{(d+e x) (f+g x)^{3/2}} \, dx\) [202]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{(d+e x) (f+g x)^{5/2}} \, dx\) [203]
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2} \log (a+b x)}{a+b x} \, dx\) [204]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x} \log (a+b x)}{a+b x} \, dx\) [205]
\(\int \genfrac {}{}{}{}{\log (a+b x)}{(a+b x) \sqrt {d+e x}} \, dx\) [206]
\(\int \genfrac {}{}{}{}{\log (a+b x)}{(a+b x) (d+e x)^{3/2}} \, dx\) [207]
\(\int \genfrac {}{}{}{}{\log (a+b x)}{(a+b x) (d+e x)^{5/2}} \, dx\) [208]
\(\int \genfrac {}{}{}{}{(h+i x)^q (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\) [209]
\(\int \genfrac {}{}{}{}{(h+i x)^3 (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\) [210]
\(\int \genfrac {}{}{}{}{(h+i x)^2 (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\) [211]
\(\int \genfrac {}{}{}{}{(h+i x) (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\) [212]
\(\int \genfrac {}{}{}{}{(a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\) [213]
\(\int \genfrac {}{}{}{}{(a+b \log (c (e+f x)))^p}{(d e+d f x) (h+i x)} \, dx\) [214]
\(\int \genfrac {}{}{}{}{(a+b \log (c (e+f x)))^p}{(d e+d f x) (h+i x)^2} \, dx\) [215]
\(\int \genfrac {}{}{}{}{(a+b \log (c (e+f x)))^p}{(d e+d f x) (h+i x)^3} \, dx\) [216]
\(\int \genfrac {}{}{}{}{(h+i x)^3 (a+b \log (c (d+e x)^n))}{f+g x} \, dx\) [217]
\(\int \genfrac {}{}{}{}{(h+i x)^2 (a+b \log (c (d+e x)^n))}{f+g x} \, dx\) [218]
\(\int \genfrac {}{}{}{}{(h+i x) (a+b \log (c (d+e x)^n))}{f+g x} \, dx\) [219]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{f+g x} \, dx\) [220]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{(f+g x) (h+i x)} \, dx\) [221]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{(f+g x) (h+i x)^2} \, dx\) [222]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{(f+g x) (h+i x)^3} \, dx\) [223]
\(\int \genfrac {}{}{}{}{(h+i x)^2 (a+b \log (c (d+e x)^n))^2}{f+g x} \, dx\) [224]
\(\int \genfrac {}{}{}{}{(h+i x) (a+b \log (c (d+e x)^n))^2}{f+g x} \, dx\) [225]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d+e x)^n))^2}{f+g x} \, dx\) [226]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d+e x)^n))^2}{(f+g x) (h+i x)} \, dx\) [227]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d+e x)^n))^2}{(f+g x) (h+i x)^2} \, dx\) [228]
\(\int \genfrac {}{}{}{}{(h+i x)^2 (a+b \log (c (d+e x)^n))^3}{f+g x} \, dx\) [229]
\(\int \genfrac {}{}{}{}{(h+i x) (a+b \log (c (d+e x)^n))^3}{f+g x} \, dx\) [230]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d+e x)^n))^3}{f+g x} \, dx\) [231]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d+e x)^n))^3}{(f+g x) (h+i x)} \, dx\) [232]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d+e x)^n))^3}{(f+g x) (h+i x)^2} \, dx\) [233]
\(\int \genfrac {}{}{}{}{h+i x}{(f+g x) (a+b \log (c (d+e x)^n))} \, dx\) [234]
\(\int \genfrac {}{}{}{}{1}{(f+g x) (a+b \log (c (d+e x)^n))} \, dx\) [235]
\(\int \genfrac {}{}{}{}{1}{(f+g x) (h+i x) (a+b \log (c (d+e x)^n))} \, dx\) [236]
\(\int \genfrac {}{}{}{}{1}{(f+g x) (h+i x)^2 (a+b \log (c (d+e x)^n))} \, dx\) [237]
\(\int \genfrac {}{}{}{}{h+i x}{(f+g x) (a+b \log (c (d+e x)^n))^2} \, dx\) [238]
\(\int \genfrac {}{}{}{}{1}{(f+g x) (a+b \log (c (d+e x)^n))^2} \, dx\) [239]
\(\int \genfrac {}{}{}{}{1}{(f+g x) (h+i x) (a+b \log (c (d+e x)^n))^2} \, dx\) [240]
\(\int \genfrac {}{}{}{}{1}{(f+g x) (h+i x)^2 (a+b \log (c (d+e x)^n))^2} \, dx\) [241]
\(\int \genfrac {}{}{}{}{x^3 (a+b \log (c (d+e x)^n))}{f+g x} \, dx\) [242]
\(\int \genfrac {}{}{}{}{x^2 (a+b \log (c (d+e x)^n))}{f+g x} \, dx\) [243]
\(\int \genfrac {}{}{}{}{x (a+b \log (c (d+e x)^n))}{f+g x} \, dx\) [244]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{f+g x} \, dx\) [245]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x (f+g x)} \, dx\) [246]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x^2 (f+g x)} \, dx\) [247]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x^3 (f+g x)} \, dx\) [248]
\(\int \genfrac {}{}{}{}{x^3 (a+b \log (c (d+e x)^n))}{(f+g x)^2} \, dx\) [249]
\(\int \genfrac {}{}{}{}{x^2 (a+b \log (c (d+e x)^n))}{(f+g x)^2} \, dx\) [250]
\(\int \genfrac {}{}{}{}{x (a+b \log (c (d+e x)^n))}{(f+g x)^2} \, dx\) [251]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{(f+g x)^2} \, dx\) [252]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x (f+g x)^2} \, dx\) [253]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x^2 (f+g x)^2} \, dx\) [254]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x^3 (f+g x)^2} \, dx\) [255]
\(\int \genfrac {}{}{}{}{x^5 (a+b \log (c (d+e x)^n))}{f+g x^2} \, dx\) [256]
\(\int \genfrac {}{}{}{}{x^3 (a+b \log (c (d+e x)^n))}{f+g x^2} \, dx\) [257]
\(\int \genfrac {}{}{}{}{x (a+b \log (c (d+e x)^n))}{f+g x^2} \, dx\) [258]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x (f+g x^2)} \, dx\) [259]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x^3 (f+g x^2)} \, dx\) [260]
\(\int \genfrac {}{}{}{}{x^4 (a+b \log (c (d+e x)^n))}{f+g x^2} \, dx\) [261]
\(\int \genfrac {}{}{}{}{x^2 (a+b \log (c (d+e x)^n))}{f+g x^2} \, dx\) [262]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{f+g x^2} \, dx\) [263]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x^2 (f+g x^2)} \, dx\) [264]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x^4 (f+g x^2)} \, dx\) [265]
\(\int \genfrac {}{}{}{}{x^5 (a+b \log (c (d+e x)^n))}{(f+g x^2)^2} \, dx\) [266]
\(\int \genfrac {}{}{}{}{x^3 (a+b \log (c (d+e x)^n))}{(f+g x^2)^2} \, dx\) [267]
\(\int \genfrac {}{}{}{}{x (a+b \log (c (d+e x)^n))}{(f+g x^2)^2} \, dx\) [268]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x (f+g x^2)^2} \, dx\) [269]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x^3 (f+g x^2)^2} \, dx\) [270]
\(\int \genfrac {}{}{}{}{x^4 (a+b \log (c (d+e x)^n))}{(f+g x^2)^2} \, dx\) [271]
\(\int \genfrac {}{}{}{}{x^2 (a+b \log (c (d+e x)^n))}{(f+g x^2)^2} \, dx\) [272]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{(f+g x^2)^2} \, dx\) [273]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{x^2 (f+g x^2)^2} \, dx\) [274]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{\sqrt {2+g x^2}} \, dx\) [275]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{\sqrt {f+g x^2}} \, dx\) [276]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{\sqrt {2-g x} \sqrt {2+g x}} \, dx\) [277]
\(\int \genfrac {}{}{}{}{a+b \log (c (d+e x)^n)}{\sqrt {f-g x} \sqrt {f+g x}} \, dx\) [278]
\(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{2 e}{e+f x})}{e^2-f^2 x^2} \, dx\) [279]
\(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{e}{e+f x})}{e^2-f^2 x^2} \, dx\) [280]
\(\int \genfrac {}{}{}{}{a+b \log (\genfrac {}{}{}{}{2 e}{e+f x})}{e^2-f^2 x^2} \, dx\) [281]
\(\int \genfrac {}{}{}{}{a+b \log (\genfrac {}{}{}{}{e}{e+f x})}{e^2-f^2 x^2} \, dx\) [282]
\(\int \genfrac {}{}{}{}{x^5 \log (c+d x)}{a+b x^3} \, dx\) [283]
\(\int \genfrac {}{}{}{}{x^2 \log (c+d x)}{a+b x^3} \, dx\) [284]
\(\int \genfrac {}{}{}{}{\log (c+d x)}{x (a+b x^3)} \, dx\) [285]
\(\int \genfrac {}{}{}{}{\log (c+d x)}{x^4 (a+b x^3)} \, dx\) [286]
\(\int \genfrac {}{}{}{}{x^4 \log (c+d x)}{a+b x^3} \, dx\) [287]
\(\int \genfrac {}{}{}{}{x^3 \log (c+d x)}{a+b x^3} \, dx\) [288]
\(\int \genfrac {}{}{}{}{x \log (c+d x)}{a+b x^3} \, dx\) [289]
\(\int \genfrac {}{}{}{}{\log (c+d x)}{a+b x^3} \, dx\) [290]
\(\int \genfrac {}{}{}{}{\log (c+d x)}{x^2 (a+b x^3)} \, dx\) [291]
\(\int \genfrac {}{}{}{}{\log (c+d x)}{x^3 (a+b x^3)} \, dx\) [292]
\(\int \genfrac {}{}{}{}{x^7 \log (c+d x)}{a+b x^4} \, dx\) [293]
\(\int \genfrac {}{}{}{}{x^3 \log (c+d x)}{a+b x^4} \, dx\) [294]
\(\int \genfrac {}{}{}{}{\log (c+d x)}{x (a+b x^4)} \, dx\) [295]
\(\int \genfrac {}{}{}{}{x^5 \log (c+d x)}{a+b x^4} \, dx\) [296]
\(\int \genfrac {}{}{}{}{x \log (c+d x)}{a+b x^4} \, dx\) [297]
\(\int \genfrac {}{}{}{}{\log (c+d x)}{x^3 (a+b x^4)} \, dx\) [298]
\(\int \genfrac {}{}{}{}{x^4 \log (c+d x)}{a+b x^4} \, dx\) [299]
\(\int \genfrac {}{}{}{}{x^2 \log (c+d x)}{a+b x^4} \, dx\) [300]