3.2 Integrals 101 to 200

\(\int x^3 \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [101]
\(\int x^2 \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [102]
\(\int x \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [103]
\(\int \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [104]
\(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{x} \, dx\) [105]
\(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^2} \, dx\) [106]
\(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^3} \, dx\) [107]
\(\int x^{3/2} \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [108]
\(\int \sqrt {x} \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [109]
\(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{\sqrt {x}} \, dx\) [110]
\(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^{3/2}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^{5/2}} \, dx\) [112]
\(\int x^3 \log (a+b e^x) \, dx\) [113]
\(\int x^2 \log (a+b e^x) \, dx\) [114]
\(\int x \log (a+b e^x) \, dx\) [115]
\(\int \log (a+b e^x) \, dx\) [116]
\(\int \genfrac {}{}{}{}{\log (a+b e^x)}{x} \, dx\) [117]
\(\int x^3 \log (1+e (f^{c (a+b x)})^n) \, dx\) [118]
\(\int x^2 \log (1+e (f^{c (a+b x)})^n) \, dx\) [119]
\(\int x \log (1+e (f^{c (a+b x)})^n) \, dx\) [120]
\(\int \log (1+e (f^{c (a+b x)})^n) \, dx\) [121]
\(\int \genfrac {}{}{}{}{\log (1+e (f^{c (a+b x)})^n)}{x} \, dx\) [122]
\(\int x^3 \log (d+e (f^{c (a+b x)})^n) \, dx\) [123]
\(\int x^2 \log (d+e (f^{c (a+b x)})^n) \, dx\) [124]
\(\int x \log (d+e (f^{c (a+b x)})^n) \, dx\) [125]
\(\int \log (d+e (f^{c (a+b x)})^n) \, dx\) [126]
\(\int \genfrac {}{}{}{}{\log (d+e (f^{c (a+b x)})^n)}{x} \, dx\) [127]
\(\int \log (b (F^{e (c+d x)})^n+\pi ) \, dx\) [128]
\(\int \genfrac {}{}{}{}{1}{x (3+\log (x))} \, dx\) [129]
\(\int \genfrac {}{}{}{}{\sqrt {1+\log (x)}}{x} \, dx\) [130]
\(\int \genfrac {}{}{}{}{(1+\log (x))^5}{x} \, dx\) [131]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {\log (x)}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{1}{x (1+\log ^2(x))} \, dx\) [133]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-3+\log ^2(x)}} \, dx\) [134]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {4-9 \log ^2(x)}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {4+\log ^2(x)}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{1}{x (2+3 \log ^3(6 x))} \, dx\) [137]
\(\int \genfrac {}{}{}{}{\log (\log (6 x))}{x \log (6 x)} \, dx\) [138]
\(\int \genfrac {}{}{}{}{2^{\log (x)}}{x} \, dx\) [139]
\(\int \genfrac {}{}{}{}{\sin ^2(\log (x))}{x} \, dx\) [140]
\(\int \genfrac {}{}{}{}{7-\log (x)}{x (3+\log (x))} \, dx\) [141]
\(\int \genfrac {}{}{}{}{(2-\log (x)) (3+\log (x))^2}{x} \, dx\) [142]
\(\int \genfrac {}{}{}{}{\log ^2(x) \sqrt {1+\log ^2(x)}}{x} \, dx\) [143]
\(\int \genfrac {}{}{}{}{1+\log (x)}{x (3+2 \log (x))^2} \, dx\) [144]
\(\int \genfrac {}{}{}{}{\log (x)}{x \sqrt {1+\log (x)}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{\log (x)}{x \sqrt {-1+4 \log (x)}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{\sqrt {1+\log (x)}}{x \log (x)} \, dx\) [147]
\(\int \genfrac {}{}{}{}{1-4 \log (x)+\log ^2(x)}{x (-1+\log (x))^4} \, dx\) [148]
\(\int \genfrac {}{}{}{}{\log ^2(a x^n)^p}{x} \, dx\) [149]
\(\int \genfrac {}{}{}{}{\log ^m(a x^n)^p}{x} \, dx\) [150]
\(\int \genfrac {}{}{}{}{\sqrt {\log ^2(a x^n)}}{x} \, dx\) [151]
\(\int \genfrac {}{}{}{}{(b \log ^m(a x^n))^p}{x} \, dx\) [152]
\(\int \genfrac {}{}{}{}{1}{x \log (e^x)} \, dx\) [153]
\(\int \log (x) \sin (a+b x) \, dx\) [154]
\(\int \log (x) \sin ^2(a+b x) \, dx\) [155]
\(\int \log (x) \sin ^3(a+b x) \, dx\) [156]
\(\int \cos (a+b x) \log (x) \, dx\) [157]
\(\int \cos ^2(a+b x) \log (x) \, dx\) [158]
\(\int \cos ^3(a+b x) \log (x) \, dx\) [159]
\(\int (\cos (x) \log (x)+\genfrac {}{}{}{}{\sin (x)}{x}) \, dx\) [160]
\(\int \log (a \sin (x)) \, dx\) [161]
\(\int \log (a \sin ^2(x)) \, dx\) [162]
\(\int \log (a \sin ^n(x)) \, dx\) [163]
\(\int \log (a \cos (x)) \, dx\) [164]
\(\int \log (a \cos ^2(x)) \, dx\) [165]
\(\int \log (a \cos ^n(x)) \, dx\) [166]
\(\int \log (a \tan (x)) \, dx\) [167]
\(\int \log (a \tan ^2(x)) \, dx\) [168]
\(\int \log (a \tan ^n(x)) \, dx\) [169]
\(\int \log (a \cot (x)) \, dx\) [170]
\(\int \log (a \cot ^2(x)) \, dx\) [171]
\(\int \log (a \cot ^n(x)) \, dx\) [172]
\(\int \log (a \sec (x)) \, dx\) [173]
\(\int \log (a \sec ^2(x)) \, dx\) [174]
\(\int \log (a \sec ^n(x)) \, dx\) [175]
\(\int \log (a \csc (x)) \, dx\) [176]
\(\int \log (a \csc ^2(x)) \, dx\) [177]
\(\int \log (a \csc ^n(x)) \, dx\) [178]
\(\int \cos (x) \log (\genfrac {}{}{}{}{1}{2} (1-\cos (2 x))) \, dx\) [179]
\(\int \genfrac {}{}{}{}{\cot (x)}{\log (e \sin (x))} \, dx\) [180]
\(\int \genfrac {}{}{}{}{\cot (x)}{\log (e^{\sin (x)})} \, dx\) [181]
\(\int \log (\cos (x)) \sec ^2(x) \, dx\) [182]
\(\int \cot (x) \log (\sin (x)) \, dx\) [183]
\(\int \cos (x) \log (\sin (x)) \sin ^2(x) \, dx\) [184]
\(\int \cos (a+b x) \log (\cos (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2}) \sin (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2})) \, dx\) [185]
\(\int \genfrac {}{}{}{}{\tan (x)}{\log (\cos (x))} \, dx\) [186]
\(\int \log (\cos (x)) \tan (x) \, dx\) [187]
\(\int \log (\cos (x)) \sin (x) \, dx\) [188]
\(\int \cos (x) \log (\cos (x)) \, dx\) [189]
\(\int \cos (x) \log (\sin (x)) \, dx\) [190]
\(\int \log (\sin (x)) \sin ^2(x) \, dx\) [191]
\(\int \log (\sin (x)) \sin ^3(x) \, dx\) [192]
\(\int \log (\sin (\sqrt {x})) \, dx\) [193]
\(\int \csc ^2(x) \log (\sin (x)) \, dx\) [194]
\(\int \log (x) \sinh (a+b x) \, dx\) [195]
\(\int \log (x) \sinh ^2(a+b x) \, dx\) [196]
\(\int \log (x) \sinh ^3(a+b x) \, dx\) [197]
\(\int \cosh (a+b x) \log (x) \, dx\) [198]
\(\int \cosh ^2(a+b x) \log (x) \, dx\) [199]
\(\int \cosh ^3(a+b x) \log (x) \, dx\) [200]