3.2 Integrals 101 to 200

3.2.1 \(\int \cot ^3(x) \csc ^4(x) \, dx\) [101]
3.2.2 \(\int \csc (x) \, dx\) [102]
3.2.3 \(\int \csc ^3(x) \, dx\) [103]
3.2.4 \(\int \cos (x) \cot (x) \, dx\) [104]
3.2.5 \(\int \csc ^4(x) \, dx\) [105]
3.2.6 \(\int \sin (2 x) \sin (5 x) \, dx\) [106]
3.2.7 \(\int \cos (x) \sin (3 x) \, dx\) [107]
3.2.8 \(\int \cos (3 x) \cos (4 x) \, dx\) [108]
3.2.9 \(\int \sin (3 x) \sin (6 x) \, dx\) [109]
3.2.10 \(\int \cos ^5(x) \sin (x) \, dx\) [110]
3.2.11 \(\int \cos (x) \cos (2 x) \cos (3 x) \, dx\) [111]
3.2.12 \(\int \cos ^2(x) (1-\tan ^2(x)) \, dx\) [112]
3.2.13 \(\int \csc (2 x) (\cos (x)+\sin (x)) \, dx\) [113]
3.2.14 \(\int \sin ^2(x) \tan (x) \, dx\) [114]
3.2.15 \(\int \cos ^2(x) \cot ^3(x) \, dx\) [115]
3.2.16 \(\int \sec ^3(x) \tan (x) \, dx\) [116]
3.2.17 \(\int \sec ^3(x) \tan ^3(x) \, dx\) [117]
3.2.18 \(\int \genfrac {}{}{}{}{\sqrt {9-x^2}}{x^2} \, dx\) [118]
3.2.19 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {4+x^2}} \, dx\) [119]
3.2.20 \(\int \genfrac {}{}{}{}{x}{\sqrt {4+x^2}} \, dx\) [120]
3.2.21 \(\int \genfrac {}{}{}{}{1}{\sqrt {-a^2+x^2}} \, dx\) [121]
3.2.22 \(\int \genfrac {}{}{}{}{x^3}{(9+4 x^2)^{3/2}} \, dx\) [122]
3.2.23 \(\int \genfrac {}{}{}{}{x}{\sqrt {3-2 x-x^2}} \, dx\) [123]
3.2.24 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {1-x^2}} \, dx\) [124]
3.2.25 \(\int x^3 \sqrt {4-x^2} \, dx\) [125]
3.2.26 \(\int \genfrac {}{}{}{}{x}{\sqrt {1-x^2}} \, dx\) [126]
3.2.27 \(\int x \sqrt {4-x^2} \, dx\) [127]
3.2.28 \(\int \sqrt {1-4 x^2} \, dx\) [128]
3.2.29 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {4+x^2}} \, dx\) [129]
3.2.30 \(\int \genfrac {}{}{}{}{1}{\sqrt {9+x^2}} \, dx\) [130]
3.2.31 \(\int \sqrt {1+x^2} \, dx\) [131]
3.2.32 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {-16+x^2}} \, dx\) [132]
3.2.33 \(\int \genfrac {}{}{}{}{\sqrt {-a^2+x^2}}{x^4} \, dx\) [133]
3.2.34 \(\int \genfrac {}{}{}{}{\sqrt {-4+9 x^2}}{x} \, dx\) [134]
3.2.35 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {-9+16 x^2}} \, dx\) [135]
3.2.36 \(\int \genfrac {}{}{}{}{x^2}{(a^2-x^2)^{3/2}} \, dx\) [136]
3.2.37 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {5-x^2}} \, dx\) [137]
3.2.38 \(\int \genfrac {}{}{}{}{1}{x \sqrt {3+x^2}} \, dx\) [138]
3.2.39 \(\int \genfrac {}{}{}{}{x}{(4+x^2)^{5/2}} \, dx\) [139]
3.2.40 \(\int x^3 \sqrt {4-9 x^2} \, dx\) [140]
3.2.41 \(\int x^2 \sqrt {9-x^2} \, dx\) [141]
3.2.42 \(\int 5 x \sqrt {1+x^2} \, dx\) [142]
3.2.43 \(\int \genfrac {}{}{}{}{1}{(-25+4 x^2)^{3/2}} \, dx\) [143]
3.2.44 \(\int \sqrt {2 x-x^2} \, dx\) [144]
3.2.45 \(\int \genfrac {}{}{}{}{1}{\sqrt {8+4 x+x^2}} \, dx\) [145]
3.2.46 \(\int \genfrac {}{}{}{}{1}{\sqrt {-8+6 x+9 x^2}} \, dx\) [146]
3.2.47 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {4 x-x^2}} \, dx\) [147]
3.2.48 \(\int \genfrac {}{}{}{}{1}{(2+2 x+x^2)^2} \, dx\) [148]
3.2.49 \(\int \genfrac {}{}{}{}{1}{(5-4 x-x^2)^{5/2}} \, dx\) [149]
3.2.50 \(\int e^t \sqrt {9-e^{2 t}} \, dt\) [150]
3.2.51 \(\int \sqrt {-9+e^{2 t}} \, dt\) [151]
3.2.52 \(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+x^2}} \, dx\) [152]
3.2.53 \(\int \genfrac {}{}{}{}{5+x}{-2+x+x^2} \, dx\) [153]
3.2.54 \(\int \genfrac {}{}{}{}{x+x^3}{-1+x} \, dx\) [154]
3.2.55 \(\int \genfrac {}{}{}{}{-1+2 x+x^2}{-2 x+3 x^2+2 x^3} \, dx\) [155]
3.2.56 \(\int \genfrac {}{}{}{}{1+4 x-2 x^2+x^4}{1-x-x^2+x^3} \, dx\) [156]
3.2.57 \(\int \genfrac {}{}{}{}{4-x+2 x^2}{4 x+x^3} \, dx\) [157]
3.2.58 \(\int \genfrac {}{}{}{}{2-3 x+4 x^2}{3-4 x+4 x^2} \, dx\) [158]
3.2.59 \(\int \genfrac {}{}{}{}{1+x^2+x^3}{(-1+x) x (1+x^2)^3 (1+x+x^2)} \, dx\) [159]
3.2.60 \(\int \genfrac {}{}{}{}{1-3 x+2 x^2-x^3}{x (1+x^2)^2} \, dx\) [160]
3.2.61 \(\int \genfrac {}{}{}{}{1}{(1+x^2)^2} \, dx\) [161]
3.2.62 \(\int \genfrac {}{}{}{}{1}{(-1+x) (2+x)} \, dx\) [162]
3.2.63 \(\int \genfrac {}{}{}{}{7}{-12+5 x+2 x^2} \, dx\) [163]
3.2.64 \(\int \genfrac {}{}{}{}{-4+3 x+x^2}{(-1+2 x)^2 (3+2 x)} \, dx\) [164]
3.2.65 \(\int \genfrac {}{}{}{}{-x^2+x^3}{(-6+x) (3+5 x)^3} \, dx\) [165]
3.2.66 \(\int \genfrac {}{}{}{}{1}{-x^3+x^4} \, dx\) [166]
3.2.67 \(\int \genfrac {}{}{}{}{1-x-x^2+x^3+x^4}{-x+x^3} \, dx\) [167]
3.2.68 \(\int \genfrac {}{}{}{}{-2+x^2}{x (2+x^2)} \, dx\) [168]
3.2.69 \(\int \genfrac {}{}{}{}{2-4 x^2+x^3}{(1+x^2) (2+x^2)} \, dx\) [169]
3.2.70 \(\int \genfrac {}{}{}{}{1+x^2+x^4}{(1+x^2) (4+x^2)^2} \, dx\) [170]
3.2.71 \(\int \genfrac {}{}{}{}{1+16 x}{(5+x)^2 (-3+2 x) (1+x+x^2)} \, dx\) [171]
3.2.72 \(\int \genfrac {}{}{}{}{x^4}{(9+x^2)^3} \, dx\) [172]
3.2.73 \(\int \genfrac {}{}{}{}{19 x}{(-1+x)^3 (3+5 x+4 x^2)^2} \, dx\) [173]
3.2.74 \(\int \genfrac {}{}{}{}{1+x^2+x^3}{2 x^2+x^3+x^4} \, dx\) [174]
3.2.75 \(\int \genfrac {}{}{}{}{1}{-x^3+x^6} \, dx\) [175]
3.2.76 \(\int \genfrac {}{}{}{}{x^2}{1+x} \, dx\) [176]
3.2.77 \(\int \genfrac {}{}{}{}{x}{-5+x} \, dx\) [177]
3.2.78 \(\int \genfrac {}{}{}{}{-1+4 x}{(-1+x) (2+x)} \, dx\) [178]
3.2.79 \(\int \genfrac {}{}{}{}{1}{(1+x) (2+x)} \, dx\) [179]
3.2.80 \(\int \genfrac {}{}{}{}{-5+6 x}{3+2 x} \, dx\) [180]
3.2.81 \(\int \genfrac {}{}{}{}{1}{(a+x) (b+x)} \, dx\) [181]
3.2.82 \(\int \genfrac {}{}{}{}{1+x^2}{-x+x^2} \, dx\) [182]
3.2.83 \(\int \genfrac {}{}{}{}{1-12 x+x^2+x^3}{-12+x+x^2} \, dx\) [183]
3.2.84 \(\int \genfrac {}{}{}{}{3+2 x}{(1+x)^2} \, dx\) [184]
3.2.85 \(\int \genfrac {}{}{}{}{1}{x (1+x) (3+2 x)} \, dx\) [185]
3.2.86 \(\int \genfrac {}{}{}{}{-3+5 x+6 x^2}{-3 x+2 x^2+x^3} \, dx\) [186]
3.2.87 \(\int \genfrac {}{}{}{}{x}{4+4 x+x^2} \, dx\) [187]
3.2.88 \(\int \genfrac {}{}{}{}{1}{(-1+x)^2 (4+x)} \, dx\) [188]
3.2.89 \(\int \genfrac {}{}{}{}{x^2}{(-3+x) (2+x)^2} \, dx\) [189]
3.2.90 \(\int \genfrac {}{}{}{}{-2+3 x+5 x^2}{2 x^2+x^3} \, dx\) [190]
3.2.91 \(\int \genfrac {}{}{}{}{18-2 x-4 x^2}{-6+x+4 x^2+x^3} \, dx\) [191]
3.2.92 \(\int \genfrac {}{}{}{}{2 x+x^2}{4+3 x^2+x^3} \, dx\) [192]
3.2.93 \(\int \genfrac {}{}{}{}{1}{(-1+x)^2 x^2} \, dx\) [193]
3.2.94 \(\int \genfrac {}{}{}{}{x^2}{(1+x)^3} \, dx\) [194]
3.2.95 \(\int \genfrac {}{}{}{}{1}{-x^2+x^4} \, dx\) [195]
3.2.96 \(\int \genfrac {}{}{}{}{-x+2 x^3}{1-x^2+x^4} \, dx\) [196]
3.2.97 \(\int \genfrac {}{}{}{}{x^3}{1+x^2} \, dx\) [197]
3.2.98 \(\int \genfrac {}{}{}{}{-1+x}{2+2 x+x^2} \, dx\) [198]
3.2.99 \(\int \genfrac {}{}{}{}{x}{1+x+x^2} \, dx\) [199]
3.2.100 \(\int \genfrac {}{}{}{}{7+5 x+4 x^2}{5+4 x+4 x^2} \, dx\) [200]