3.2 Integrals 101 to 200

3.2.1 \(\int e^{1+x-x^2} (1-2 x) \, dx\) [101]
3.2.2 \(\int e^{\sqrt {x}} \sqrt {x} \, dx\) [102]
3.2.3 \(\int \cos (3 x) \sin (2 x) \, dx\) [103]
3.2.4 \(\int (1+2 \sin (x)) \, dx\) [104]
3.2.5 \(\int (1-x)^{2014} x \, dx\) [105]
3.2.6 \(\int \text {arcsinh}(x) \, dx\) [106]
3.2.7 \(\int \genfrac {}{}{}{}{x^2}{-1+x} \, dx\) [107]
3.2.8 \(\int x \arctan (x) \, dx\) [108]
3.2.9 \(\int \genfrac {}{}{}{}{1}{-2014-15 x+x^2} \, dx\) [109]
3.2.10 \(\int e^x (-2 (1+x) \arctan (x)+\log (1+x^2)) \, dx\) [110]
3.2.11 \(\int \arcsin (x)^2 \, dx\) [111]
3.2.12 \(\int \genfrac {}{}{}{}{\sqrt {-1+x^2}}{x} \, dx\) [112]
3.2.13 \(\int x \sec ^2(4 x) \, dx\) [113]
3.2.14 \(\int \genfrac {}{}{}{}{2}{6-11 x+6 x^2-x^3} \, dx\) [114]
3.2.15 \(\int \genfrac {}{}{}{}{1}{1-\log (1-x)} \, dx\) [115]
3.2.16 \(\int \sqrt {x+\sqrt {1+x^2}} \, dx\) [116]
3.2.17 \(\int \genfrac {}{}{}{}{1}{2+\cos (x)} \, dx\) [117]
3.2.18 \(\int (\cos ^4(x)-\sin ^4(x)) \, dx\) [118]
3.2.19 \(\int \genfrac {}{}{}{}{x}{\sqrt {2+4 x}} \, dx\) [119]
3.2.20 \(\int \genfrac {}{}{}{}{\cos (\sqrt {x})}{\sqrt {x}} \, dx\) [120]
3.2.21 \(\int \sec (x) \, dx\) [121]
3.2.22 \(\int e^{\sin (x)} \cos (x) \, dx\) [122]
3.2.23 \(\int x \log ^2(x) \, dx\) [123]
3.2.24 \(\int \genfrac {}{}{}{}{1}{5+4 \sqrt {x}+x} \, dx\) [124]
3.2.25 \(\int 2015^x \, dx\) [125]
3.2.26 \(\int \genfrac {}{}{}{}{x}{(-3+x) (5+x)^2} \, dx\) [126]
3.2.27 \(\int \genfrac {}{}{}{}{\log (1+\log (x))}{x} \, dx\) [127]
3.2.28 \(\int \sqrt {\csc (x)-\sin (x)} \, dx\) [128]
3.2.29 \(\int \genfrac {}{}{}{}{1}{\sqrt {25+x^2}} \, dx\) [129]
3.2.30 \(\int \genfrac {}{}{}{}{-1+\log ^2(x)}{x \log ^2(x)} \, dx\) [130]
3.2.31 \(\int e^{3 x} \arctan (e^x) \, dx\) [131]
3.2.32 \(\int \genfrac {}{}{}{}{1}{\cos ^4(x)+\sin ^4(x)} \, dx\) [132]
3.2.33 \(\int \genfrac {}{}{}{}{1+e^x}{1-e^x} \, dx\) [133]
3.2.34 \(\int \tan ^4(x) \, dx\) [134]
3.2.35 \(\int \sin (x) \tan ^2(x) \, dx\) [135]
3.2.36 \(\int \genfrac {}{}{}{}{1+x}{3+2 x+x^2} \, dx\) [136]
3.2.37 \(\int \tanh (x) \, dx\) [137]
3.2.38 \(\int (-x+x^3) \, dx\) [138]
3.2.39 \(\int \log (\sqrt {x}) \, dx\) [139]
3.2.40 \(\int (-e^{e^{-x}+e^x-x}+e^{e^{-x}+e^x+x}) \, dx\) [140]
3.2.41 \(\int \genfrac {}{}{}{}{\log (\log (x))}{x \log (x)} \, dx\) [141]
3.2.42 \(\int \genfrac {}{}{}{}{1}{1+\tan ^2(x)} \, dx\) [142]
3.2.43 \(\int \arcsin (\genfrac {}{}{}{}{\sqrt [3]{x}}{3}) \, dx\) [143]
3.2.44 \(\int \log (x) \, dx\) [144]
3.2.45 \(\int e^x (\cos (x)-\sin (x)) \, dx\) [145]
3.2.46 \(\int e^{-x^2} x^3 \, dx\) [146]
3.2.47 \(\int ((1+2 e^{x^2} x) \cos (x)-(e^{x^2}+x) \sin (x)) \, dx\) [147]
3.2.48 \(\int (1+\genfrac {}{}{}{}{1}{\sqrt {x}}+\genfrac {}{}{}{}{1}{\sqrt [3]{x}}) (1+\sqrt [3]{x}+\sqrt {x}) \, dx\) [148]
3.2.49 \(\int \cos (x) \cos (\sin (x)) \sin (\sin (x)) \, dx\) [149]
3.2.50 \(\int (\genfrac {}{}{}{}{-\cos (x)+\sin (x)}{x}+\genfrac {}{}{}{}{\cos (x)+\sin (x)}{x^2}) \, dx\) [150]
3.2.51 \(\int x^3 \sqrt {1+x^2} \, dx\) [151]
3.2.52 \(\int \genfrac {}{}{}{}{x}{1+x^2+x^4} \, dx\) [152]
3.2.53 \(\int e^{e^{2016 x}+6048 x} \, dx\) [153]
3.2.54 \(\int (1-\cot (x)) \, dx\) [154]
3.2.55 \(\int \genfrac {}{}{}{}{1}{1-x+x^2-x^3} \, dx\) [155]
3.2.56 \(\int \genfrac {}{}{}{}{1}{2+\cosh (x)} \, dx\) [156]
3.2.57 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {2+x^3}} \, dx\) [157]
3.2.58 \(\int \genfrac {}{}{}{}{\log (x)}{x^2} \, dx\) [158]
3.2.59 \(\int \text {sech}(x) \, dx\) [159]
3.2.60 \(\int e^{x^2} x^3 \, dx\) [160]
3.2.61 \(\int \genfrac {}{}{}{}{1}{x \sqrt {-1+x^2}} \, dx\) [161]
3.2.62 \(\int \genfrac {}{}{}{}{1}{x (1+x^2)} \, dx\) [162]
3.2.63 \(\int \text {arccosh}(x) \, dx\) [163]
3.2.64 \(\int e^{-3-5 x-2 x^2} \, dx\) [164]
3.2.65 \(\int \sin (\sqrt {x}) \, dx\) [165]
3.2.66 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{1}{x}+x)^2} \, dx\) [166]
3.2.67 \(\int \genfrac {}{}{}{}{e^{-x} (2+x)}{x^3} \, dx\) [167]
3.2.68 \(\int \genfrac {}{}{}{}{1}{\sqrt {(1-x) x}} \, dx\) [168]
3.2.69 \(\int e^{-x} \tanh (x) \, dx\) [169]
3.2.70 \(\int \sqrt {1+\sin (x)} \, dx\) [170]
3.2.71 \(\int \genfrac {}{}{}{}{1}{1+\sqrt {x}} \, dx\) [171]
3.2.72 \(\int e^{-x^2} \sin ^2(\genfrac {}{}{}{}{\pi }{4}+x) \, dx\) [172]
3.2.73 \(\int 3 e^{-2 x^3-x^6} x^2 (1+x^3)^2 \, dx\) [173]
3.2.74 \(\int e^{2 x} \cos (3 x) \, dx\) [174]
3.2.75 \(\int \cos ^{\cos (x)}(x) (1+\log (\cos (x))) \sin (x) \, dx\) [175]
3.2.76 \(\int \genfrac {}{}{}{}{e^x}{2+e^x} \, dx\) [176]
3.2.77 \(\int \sin (2018 x) \, dx\) [177]
3.2.78 \(\int \genfrac {}{}{}{}{1}{\cot (x)+\tan (x)} \, dx\) [178]
3.2.79 \(\int \genfrac {}{}{}{}{x^5}{2+x^{12}} \, dx\) [179]
3.2.80 \(\int (\cos (x) \cosh (x)+\sin (x) \sinh (x)) \, dx\) [180]
3.2.81 \(\int \genfrac {}{}{}{}{e^x+\cos (x)}{e^x+\sin (x)} \, dx\) [181]
3.2.82 \(\int \cos (x) \sin (\cos (\sin (x))) \sin (\sin (x)) \, dx\) [182]
3.2.83 \(\int \genfrac {}{}{}{}{1}{1+\sin (x)} \, dx\) [183]
3.2.84 \(\int \genfrac {}{}{}{}{\cos (x)}{1-\cos (2 x)} \, dx\) [184]
3.2.85 \(\int e^x (\genfrac {}{}{}{}{1}{x}+\log (x)) \, dx\) [185]
3.2.86 \(\int \tanh ^2(x) \, dx\) [186]
3.2.87 \(\int \genfrac {}{}{}{}{-\sin ^2(x)+\sin (2 x)}{-\cos ^2(x)+\cos (2 x)} \, dx\) [187]
3.2.88 \(\int \genfrac {}{}{}{}{1}{x^{9/25}+x^{41/25}} \, dx\) [188]
3.2.89 \(\int \genfrac {}{}{}{}{\cos (x)}{2-\cos ^2(x)} \, dx\) [189]
3.2.90 \(\int \genfrac {}{}{}{}{1}{(1+x^2)^{3/2}} \, dx\) [190]
3.2.91 \(\int \genfrac {}{}{}{}{1}{\sqrt {x^{3/2}-x^2}} \, dx\) [191]
3.2.92 \(\int \genfrac {}{}{}{}{-1+x}{x+x^2 \log (x)} \, dx\) [192]
3.2.93 \(\int \csc (x) \sec (x) \, dx\) [193]
3.2.94 \(\int \tan (\cos (x)) \, dx\) [194]
3.2.95 \(\int \genfrac {}{}{}{}{1+x}{x (x+\log (x))} \, dx\) [195]
3.2.96 \(\int (e^{-e^x+x}+e^{e^x+x}) \, dx\) [196]
3.2.97 \(\int \genfrac {}{}{}{}{1}{1-x^2} \, dx\) [197]
3.2.98 \(\int 2^{\log (x)} \, dx\) [198]
3.2.99 \(\int (\cos (3 x)+\sin (2 x) (\cos (3 x)-\sin (2019 x))) \, dx\) [199]
3.2.100 \(\int \cos (x) \cos (\sin (x)) \cos (\sin (\sin (x))) \, dx\) [200]