3.2 Integrals 101 to 200

  3.2.1 \(\int x^3 \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [101]
  3.2.2 \(\int x^2 \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [102]
  3.2.3 \(\int x \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [103]
  3.2.4 \(\int \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [104]
  3.2.5 \(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{x} \, dx\) [105]
  3.2.6 \(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^2} \, dx\) [106]
  3.2.7 \(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^3} \, dx\) [107]
  3.2.8 \(\int x^{3/2} \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [108]
  3.2.9 \(\int \sqrt {x} \log (-1+4 x+4 \sqrt {(-1+x) x}) \, dx\) [109]
  3.2.10 \(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{\sqrt {x}} \, dx\) [110]
  3.2.11 \(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^{3/2}} \, dx\) [111]
  3.2.12 \(\int \genfrac {}{}{}{}{\log (-1+4 x+4 \sqrt {(-1+x) x})}{x^{5/2}} \, dx\) [112]
  3.2.13 \(\int x^3 \log (a+b e^x) \, dx\) [113]
  3.2.14 \(\int x^2 \log (a+b e^x) \, dx\) [114]
  3.2.15 \(\int x \log (a+b e^x) \, dx\) [115]
  3.2.16 \(\int \log (a+b e^x) \, dx\) [116]
  3.2.17 \(\int \genfrac {}{}{}{}{\log (a+b e^x)}{x} \, dx\) [117]
  3.2.18 \(\int x^3 \log (1+e (f^{c (a+b x)})^n) \, dx\) [118]
  3.2.19 \(\int x^2 \log (1+e (f^{c (a+b x)})^n) \, dx\) [119]
  3.2.20 \(\int x \log (1+e (f^{c (a+b x)})^n) \, dx\) [120]
  3.2.21 \(\int \log (1+e (f^{c (a+b x)})^n) \, dx\) [121]
  3.2.22 \(\int \genfrac {}{}{}{}{\log (1+e (f^{c (a+b x)})^n)}{x} \, dx\) [122]
  3.2.23 \(\int x^3 \log (d+e (f^{c (a+b x)})^n) \, dx\) [123]
  3.2.24 \(\int x^2 \log (d+e (f^{c (a+b x)})^n) \, dx\) [124]
  3.2.25 \(\int x \log (d+e (f^{c (a+b x)})^n) \, dx\) [125]
  3.2.26 \(\int \log (d+e (f^{c (a+b x)})^n) \, dx\) [126]
  3.2.27 \(\int \genfrac {}{}{}{}{\log (d+e (f^{c (a+b x)})^n)}{x} \, dx\) [127]
  3.2.28 \(\int \log (b (F^{e (c+d x)})^n+\pi ) \, dx\) [128]
  3.2.29 \(\int \genfrac {}{}{}{}{1}{x (3+\log (x))} \, dx\) [129]
  3.2.30 \(\int \genfrac {}{}{}{}{\sqrt {1+\log (x)}}{x} \, dx\) [130]
  3.2.31 \(\int \genfrac {}{}{}{}{(1+\log (x))^5}{x} \, dx\) [131]
  3.2.32 \(\int \genfrac {}{}{}{}{1}{x \sqrt {\log (x)}} \, dx\) [132]
  3.2.33 \(\int \genfrac {}{}{}{}{1}{x (1+\log ^2(x))} \, dx\) [133]
  3.2.34 \(\int \genfrac {}{}{}{}{1}{x \sqrt {-3+\log ^2(x)}} \, dx\) [134]
  3.2.35 \(\int \genfrac {}{}{}{}{1}{x \sqrt {4-9 \log ^2(x)}} \, dx\) [135]
  3.2.36 \(\int \genfrac {}{}{}{}{1}{x \sqrt {4+\log ^2(x)}} \, dx\) [136]
  3.2.37 \(\int \genfrac {}{}{}{}{1}{x (2+3 \log ^3(6 x))} \, dx\) [137]
  3.2.38 \(\int \genfrac {}{}{}{}{\log (\log (6 x))}{x \log (6 x)} \, dx\) [138]
  3.2.39 \(\int \genfrac {}{}{}{}{2^{\log (x)}}{x} \, dx\) [139]
  3.2.40 \(\int \genfrac {}{}{}{}{\sin ^2(\log (x))}{x} \, dx\) [140]
  3.2.41 \(\int \genfrac {}{}{}{}{7-\log (x)}{x (3+\log (x))} \, dx\) [141]
  3.2.42 \(\int \genfrac {}{}{}{}{(2-\log (x)) (3+\log (x))^2}{x} \, dx\) [142]
  3.2.43 \(\int \genfrac {}{}{}{}{\log ^2(x) \sqrt {1+\log ^2(x)}}{x} \, dx\) [143]
  3.2.44 \(\int \genfrac {}{}{}{}{1+\log (x)}{x (3+2 \log (x))^2} \, dx\) [144]
  3.2.45 \(\int \genfrac {}{}{}{}{\log (x)}{x \sqrt {1+\log (x)}} \, dx\) [145]
  3.2.46 \(\int \genfrac {}{}{}{}{\log (x)}{x \sqrt {-1+4 \log (x)}} \, dx\) [146]
  3.2.47 \(\int \genfrac {}{}{}{}{\sqrt {1+\log (x)}}{x \log (x)} \, dx\) [147]
  3.2.48 \(\int \genfrac {}{}{}{}{1-4 \log (x)+\log ^2(x)}{x (-1+\log (x))^4} \, dx\) [148]
  3.2.49 \(\int \genfrac {}{}{}{}{\log ^2(a x^n)^p}{x} \, dx\) [149]
  3.2.50 \(\int \genfrac {}{}{}{}{\log ^m(a x^n)^p}{x} \, dx\) [150]
  3.2.51 \(\int \genfrac {}{}{}{}{\sqrt {\log ^2(a x^n)}}{x} \, dx\) [151]
  3.2.52 \(\int \genfrac {}{}{}{}{(b \log ^m(a x^n))^p}{x} \, dx\) [152]
  3.2.53 \(\int \genfrac {}{}{}{}{1}{x \log (e^x)} \, dx\) [153]
  3.2.54 \(\int \log (x) \sin (a+b x) \, dx\) [154]
  3.2.55 \(\int \log (x) \sin ^2(a+b x) \, dx\) [155]
  3.2.56 \(\int \log (x) \sin ^3(a+b x) \, dx\) [156]
  3.2.57 \(\int \cos (a+b x) \log (x) \, dx\) [157]
  3.2.58 \(\int \cos ^2(a+b x) \log (x) \, dx\) [158]
  3.2.59 \(\int \cos ^3(a+b x) \log (x) \, dx\) [159]
  3.2.60 \(\int (\cos (x) \log (x)+\genfrac {}{}{}{}{\sin (x)}{x}) \, dx\) [160]
  3.2.61 \(\int \log (a \sin (x)) \, dx\) [161]
  3.2.62 \(\int \log (a \sin ^2(x)) \, dx\) [162]
  3.2.63 \(\int \log (a \sin ^n(x)) \, dx\) [163]
  3.2.64 \(\int \log (a \cos (x)) \, dx\) [164]
  3.2.65 \(\int \log (a \cos ^2(x)) \, dx\) [165]
  3.2.66 \(\int \log (a \cos ^n(x)) \, dx\) [166]
  3.2.67 \(\int \log (a \tan (x)) \, dx\) [167]
  3.2.68 \(\int \log (a \tan ^2(x)) \, dx\) [168]
  3.2.69 \(\int \log (a \tan ^n(x)) \, dx\) [169]
  3.2.70 \(\int \log (a \cot (x)) \, dx\) [170]
  3.2.71 \(\int \log (a \cot ^2(x)) \, dx\) [171]
  3.2.72 \(\int \log (a \cot ^n(x)) \, dx\) [172]
  3.2.73 \(\int \log (a \sec (x)) \, dx\) [173]
  3.2.74 \(\int \log (a \sec ^2(x)) \, dx\) [174]
  3.2.75 \(\int \log (a \sec ^n(x)) \, dx\) [175]
  3.2.76 \(\int \log (a \csc (x)) \, dx\) [176]
  3.2.77 \(\int \log (a \csc ^2(x)) \, dx\) [177]
  3.2.78 \(\int \log (a \csc ^n(x)) \, dx\) [178]
  3.2.79 \(\int \cos (x) \log (\genfrac {}{}{}{}{1}{2} (1-\cos (2 x))) \, dx\) [179]
  3.2.80 \(\int \genfrac {}{}{}{}{\cot (x)}{\log (e \sin (x))} \, dx\) [180]
  3.2.81 \(\int \genfrac {}{}{}{}{\cot (x)}{\log (e^{\sin (x)})} \, dx\) [181]
  3.2.82 \(\int \log (\cos (x)) \sec ^2(x) \, dx\) [182]
  3.2.83 \(\int \cot (x) \log (\sin (x)) \, dx\) [183]
  3.2.84 \(\int \cos (x) \log (\sin (x)) \sin ^2(x) \, dx\) [184]
  3.2.85 \(\int \cos (a+b x) \log (\cos (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2}) \sin (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2})) \, dx\) [185]
  3.2.86 \(\int \genfrac {}{}{}{}{\tan (x)}{\log (\cos (x))} \, dx\) [186]
  3.2.87 \(\int \log (\cos (x)) \tan (x) \, dx\) [187]
  3.2.88 \(\int \log (\cos (x)) \sin (x) \, dx\) [188]
  3.2.89 \(\int \cos (x) \log (\cos (x)) \, dx\) [189]
  3.2.90 \(\int \cos (x) \log (\sin (x)) \, dx\) [190]
  3.2.91 \(\int \log (\sin (x)) \sin ^2(x) \, dx\) [191]
  3.2.92 \(\int \log (\sin (x)) \sin ^3(x) \, dx\) [192]
  3.2.93 \(\int \log (\sin (\sqrt {x})) \, dx\) [193]
  3.2.94 \(\int \csc ^2(x) \log (\sin (x)) \, dx\) [194]
  3.2.95 \(\int \log (x) \sinh (a+b x) \, dx\) [195]
  3.2.96 \(\int \log (x) \sinh ^2(a+b x) \, dx\) [196]
  3.2.97 \(\int \log (x) \sinh ^3(a+b x) \, dx\) [197]
  3.2.98 \(\int \cosh (a+b x) \log (x) \, dx\) [198]
  3.2.99 \(\int \cosh ^2(a+b x) \log (x) \, dx\) [199]
  3.2.100 \(\int \cosh ^3(a+b x) \log (x) \, dx\) [200]