3.2 Integrals 101 to 200

  3.2.1 \(\int x \cos ^3(x) \, dx\) [101]
  3.2.2 \(\int \genfrac {}{}{}{}{\sin (x)}{x} \, dx\) [102]
  3.2.3 \(\int \genfrac {}{}{}{}{\cos (x)}{x} \, dx\) [103]
  3.2.4 \(\int \genfrac {}{}{}{}{\sin (x)}{x^2} \, dx\) [104]
  3.2.5 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{x} \, dx\) [105]
  3.2.6 \(\int \tan ^3(x) \, dx\) [106]
  3.2.7 \(\int \sin (a+b x) \, dx\) [107]
  3.2.8 \(\int \cos (a+b x) \, dx\) [108]
  3.2.9 \(\int \tan (a+b x) \, dx\) [109]
  3.2.10 \(\int \cot (a+b x) \, dx\) [110]
  3.2.11 \(\int \csc (a+b x) \, dx\) [111]
  3.2.12 \(\int \sec (a+b x) \, dx\) [112]
  3.2.13 \(\int \sin ^2(a+b x) \, dx\) [113]
  3.2.14 \(\int \sin ^3(a+b x) \, dx\) [114]
  3.2.15 \(\int \cos ^2(a+b x) \, dx\) [115]
  3.2.16 \(\int \cos ^3(a+b x) \, dx\) [116]
  3.2.17 \(\int \sec ^2(a+b x) \, dx\) [117]
  3.2.18 \(\int \genfrac {}{}{}{}{1}{1+\cos (x)} \, dx\) [118]
  3.2.19 \(\int \genfrac {}{}{}{}{1}{1-\cos (x)} \, dx\) [119]
  3.2.20 \(\int \genfrac {}{}{}{}{1}{1+\sin (x)} \, dx\) [120]
  3.2.21 \(\int \genfrac {}{}{}{}{1}{1-\sin (x)} \, dx\) [121]
  3.2.22 \(\int \genfrac {}{}{}{}{1}{a+b \sin (x)} \, dx\) [122]
  3.2.23 \(\int \genfrac {}{}{}{}{1}{a+\cos (x)+b \sin (x)} \, dx\) [123]
  3.2.24 \(\int x^2 \sin ^2(a+b x) \, dx\) [124]
  3.2.25 \(\int \cos (x) \cos (2 x) \, dx\) [125]
  3.2.26 \(\int x^2 \cos ^2(a+b x) \, dx\) [126]
  3.2.27 \(\int \cot ^3(x) \, dx\) [127]
  3.2.28 \(\int x^3 \tan ^4(x) \, dx\) [128]
  3.2.29 \(\int x^3 \tan ^6(x) \, dx\) [129]
  3.2.30 \(\int x \tan ^2(x) \, dx\) [130]
  3.2.31 \(\int \cos (3 x) \sin (2 x) \, dx\) [131]
  3.2.32 \(\int \cos ^2(x) \sin ^2(x) \, dx\) [132]
  3.2.33 \(\int \csc ^2(x) \sec ^2(x) \, dx\) [133]
  3.2.34 \(\int d^x \sin (x) \, dx\) [134]
  3.2.35 \(\int d^x \cos (x) \, dx\) [135]
  3.2.36 \(\int d^x x \sin (x) \, dx\) [136]
  3.2.37 \(\int d^x x \cos (x) \, dx\) [137]
  3.2.38 \(\int d^x x^2 \sin (x) \, dx\) [138]
  3.2.39 \(\int d^x x^2 \cos (x) \, dx\) [139]
  3.2.40 \(\int d^x x^3 \sin (x) \, dx\) [140]
  3.2.41 \(\int d^x x^3 \cos (x) \, dx\) [141]
  3.2.42 \(\int \sin (x) \sin (2 x) \sin (3 x) \, dx\) [142]
  3.2.43 \(\int \cos (x) \cos (2 x) \cos (3 x) \, dx\) [143]
  3.2.44 \(\int x^2 \sin ^3(k x) \, dx\) [144]
  3.2.45 \(\int x \cos (k \csc (x)) \cot (x) \csc (x) \, dx\) [145]
  3.2.46 \(\int \cot (\genfrac {}{}{}{}{x}{2}) \cot (x) \, dx\) [146]
  3.2.47 \(\int \genfrac {}{}{}{}{\sin (a x)}{(b+c \sin (a x))^2} \, dx\) [147]
  3.2.48 \(\int \sin (\log (x)) \, dx\) [148]
  3.2.49 \(\int \cos (\log (x)) \, dx\) [149]
  3.2.50 \(\int e^x \, dx\) [150]
  3.2.51 \(\int a^x \, dx\) [151]
  3.2.52 \(\int e^{a x} \, dx\) [152]
  3.2.53 \(\int \genfrac {}{}{}{}{e^{a x}}{x} \, dx\) [153]
  3.2.54 \(\int \genfrac {}{}{}{}{1}{a+b e^{m x}} \, dx\) [154]
  3.2.55 \(\int \genfrac {}{}{}{}{e^{2 x}}{1+e^x} \, dx\) [155]
  3.2.56 \(\int e^{2 x+a x} \, dx\) [156]
  3.2.57 \(\int \genfrac {}{}{}{}{1}{b e^{-m x}+a e^{m x}} \, dx\) [157]
  3.2.58 \(\int e^{a x} x \, dx\) [158]
  3.2.59 \(\int e^x x^{20} \, dx\) [159]
  3.2.60 \(\int a^x b^{-x} \, dx\) [160]
  3.2.61 \(\int a^x b^x \, dx\) [161]
  3.2.62 \(\int \genfrac {}{}{}{}{a^x}{x^2} \, dx\) [162]
  3.2.63 \(\int \genfrac {}{}{}{}{a^x x}{(1+b x)^2} \, dx\) [163]
  3.2.64 \(\int \genfrac {}{}{}{}{e^{a x} x}{(1+a x)^2} \, dx\) [164]
  3.2.65 \(\int k^{x^2} x \, dx\) [165]
  3.2.66 \(\int e^{x^2} \, dx\) [166]
  3.2.67 \(\int e^{x^2} x \, dx\) [167]
  3.2.68 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{x}} (1+x)}{x^4} \, dx\) [168]
  3.2.69 \(\int \genfrac {}{}{}{}{e^{1-e^{x^2} x+2 x^2} (x+2 x^3)}{(1-e^{x^2} x)^2} \, dx\) [169]
  3.2.70 \(\int e^{e^{e^{e^x}}} \, dx\) [170]
  3.2.71 \(\int e^x \log (x) \, dx\) [171]
  3.2.72 \(\int e^x x \log (x) \, dx\) [172]
  3.2.73 \(\int e^{2 x} \log (e^x) \, dx\) [173]
  3.2.74 \(\int (2 x+\sqrt {2} x^2) \, dx\) [174]
  3.2.75 \(\int \genfrac {}{}{}{}{\log (x)}{\sqrt {b+a x}} \, dx\) [175]
  3.2.76 \(\int \sqrt {a+b x} \sqrt {c+d x} \, dx\) [176]
  3.2.77 \(\int \sqrt {a+b x} \, dx\) [177]
  3.2.78 \(\int x \sqrt {a+b x} \, dx\) [178]
  3.2.79 \(\int x^2 \sqrt {a+b x} \, dx\) [179]
  3.2.80 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x} \, dx\) [180]
  3.2.81 \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^2} \, dx\) [181]
  3.2.82 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x}} \, dx\) [182]
  3.2.83 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x}} \, dx\) [183]
  3.2.84 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x}} \, dx\) [184]
  3.2.85 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x}} \, dx\) [185]
  3.2.86 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x}} \, dx\) [186]
  3.2.87 \(\int (a+b x)^{p/2} \, dx\) [187]
  3.2.88 \(\int x (a+b x)^{p/2} \, dx\) [188]
  3.2.89 \(\int \tan ^{-1}(\genfrac {}{}{}{}{-\sqrt {2}+2 x}{\sqrt {2}}) \, dx\) [189]
  3.2.90 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x^2}} \, dx\) [190]
  3.2.91 \(\int \sqrt {x} \sqrt {1+x} \, dx\) [191]
  3.2.92 \(\int \sin (\sqrt {x}) \, dx\) [192]
  3.2.93 \(\int \genfrac {}{}{}{}{x}{(1-x^2)^{9/8}} \, dx\) [193]
  3.2.94 \(\int \genfrac {}{}{}{}{x}{\sqrt {1-x^4}} \, dx\) [194]
  3.2.95 \(\int \genfrac {}{}{}{}{1}{x \sqrt {1+x^4}} \, dx\) [195]
  3.2.96 \(\int \genfrac {}{}{}{}{x}{\sqrt {1+x^2+x^4}} \, dx\) [196]
  3.2.97 \(\int \genfrac {}{}{}{}{1}{x \sqrt {-1+x^2-x^4}} \, dx\) [197]
  3.2.98 \(\int \genfrac {}{}{}{}{1+x}{(1-x)^2 \sqrt {1+x^2}} \, dx\) [198]
  3.2.99 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2}} \, dx\) [199]
  3.2.100 \(\int \genfrac {}{}{}{}{\sqrt {x} \sqrt {1+x}+\sqrt {x} \sqrt {2+x}+\sqrt {1+x} \sqrt {2+x}}{2 \sqrt {x} \sqrt {1+x} \sqrt {2+x}} \, dx\) [200]