3.3 Integrals 201 to 300

  3.3.1 \(\int \genfrac {}{}{}{}{5-4 x+3 x^2}{(-1+x) (1+x^2)} \, dx\) [201]
  3.3.2 \(\int \genfrac {}{}{}{}{3+2 x}{3 x+x^3} \, dx\) [202]
  3.3.3 \(\int \genfrac {}{}{}{}{1}{-1+x^3} \, dx\) [203]
  3.3.4 \(\int \genfrac {}{}{}{}{x^3}{1+x^3} \, dx\) [204]
  3.3.5 \(\int \genfrac {}{}{}{}{-1-2 x+x^2}{(-1+x)^2 (1+x^2)} \, dx\) [205]
  3.3.6 \(\int \genfrac {}{}{}{}{x^4}{-1+x^4} \, dx\) [206]
  3.3.7 \(\int \genfrac {}{}{}{}{-4+6 x-x^2+3 x^3}{(1+x^2) (2+x^2)} \, dx\) [207]
  3.3.8 \(\int \genfrac {}{}{}{}{1+x-2 x^2+x^3}{4+5 x^2+x^4} \, dx\) [208]
  3.3.9 \(\int \genfrac {}{}{}{}{-3+x}{(4+2 x+x^2)^2} \, dx\) [209]
  3.3.10 \(\int \genfrac {}{}{}{}{1+x^4}{x (1+x^2)^2} \, dx\) [210]
  3.3.11 \(\int \genfrac {}{}{}{}{\cos (x) (-3+2 \sin (x))}{2-3 \sin (x)+\sin ^2(x)} \, dx\) [211]
  3.3.12 \(\int \genfrac {}{}{}{}{\cos ^2(x) \sin (x)}{5+\cos ^2(x)} \, dx\) [212]
  3.3.13 \(\int \genfrac {}{}{}{}{1}{-3+2 x+x^2} \, dx\) [213]
  3.3.14 \(\int \genfrac {}{}{}{}{1}{-2 x+x^2} \, dx\) [214]
  3.3.15 \(\int \genfrac {}{}{}{}{1+2 x}{-7+12 x+4 x^2} \, dx\) [215]
  3.3.16 \(\int \genfrac {}{}{}{}{x}{-1+x+x^2} \, dx\) [216]
  3.3.17 \(\int \genfrac {}{}{}{}{-32+5 x-27 x^2+4 x^3}{-70-299 x-286 x^2+50 x^3-13 x^4+30 x^5} \, dx\) [217]
  3.3.18 \(\int \genfrac {}{}{}{}{8-13 x^2-7 x^3+12 x^5}{4-20 x+41 x^2-80 x^3+116 x^4-80 x^5+100 x^6} \, dx\) [218]
  3.3.19 \(\int \genfrac {}{}{}{}{\sqrt {4+x}}{x} \, dx\) [219]
  3.3.20 \(\int \genfrac {}{}{}{}{1}{-\genfrac {}{}{}{}{1}{\sqrt [3]{x}}+\sqrt {x}} \, dx\) [220]
  3.3.21 \(\int \genfrac {}{}{}{}{1}{-4 \cos (x)+3 \sin (x)} \, dx\) [221]
  3.3.22 \(\int \genfrac {}{}{}{}{1}{1+\sqrt {x}} \, dx\) [222]
  3.3.23 \(\int \genfrac {}{}{}{}{1}{1+\genfrac {}{}{}{}{1}{\sqrt [3]{x}}} \, dx\) [223]
  3.3.24 \(\int \genfrac {}{}{}{}{\sqrt {x}}{1+x} \, dx\) [224]
  3.3.25 \(\int \genfrac {}{}{}{}{1}{x \sqrt {1+x}} \, dx\) [225]
  3.3.26 \(\int \genfrac {}{}{}{}{1}{-\sqrt [3]{x}+x} \, dx\) [226]
  3.3.27 \(\int \genfrac {}{}{}{}{1}{x-\sqrt {2+x}} \, dx\) [227]
  3.3.28 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {-1+x}} \, dx\) [228]
  3.3.29 \(\int \genfrac {}{}{}{}{\sqrt {-1+x}}{1+x} \, dx\) [229]
  3.3.30 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\sqrt {x}}} \, dx\) [230]
  3.3.31 \(\int \genfrac {}{}{}{}{\sqrt {x}}{x+x^2} \, dx\) [231]
  3.3.32 \(\int \genfrac {}{}{}{}{1+\sqrt {x}}{-1+\sqrt {x}} \, dx\) [232]
  3.3.33 \(\int \genfrac {}{}{}{}{1+\genfrac {}{}{}{}{1}{\sqrt [3]{x}}}{-1+\genfrac {}{}{}{}{1}{\sqrt [3]{x}}} \, dx\) [233]
  3.3.34 \(\int \genfrac {}{}{}{}{x^3}{\sqrt [3]{1+x^2}} \, dx\) [234]
  3.3.35 \(\int \genfrac {}{}{}{}{\sqrt {x}}{-\genfrac {}{}{}{}{1}{\sqrt [3]{x}}+\sqrt {x}} \, dx\) [235]
  3.3.36 \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{\sqrt [4]{x}}+\sqrt {x}} \, dx\) [236]
  3.3.37 \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{\sqrt [3]{x}}+\genfrac {}{}{}{}{1}{\sqrt [4]{x}}} \, dx\) [237]
  3.3.38 \(\int \sqrt {\genfrac {}{}{}{}{1-x}{x}} \, dx\) [238]
  3.3.39 \(\int \genfrac {}{}{}{}{\cos (x)}{\sin (x)+\sin ^2(x)} \, dx\) [239]
  3.3.40 \(\int \genfrac {}{}{}{}{e^{2 x}}{2+3 e^x+e^{2 x}} \, dx\) [240]
  3.3.41 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+e^x}} \, dx\) [241]
  3.3.42 \(\int \sqrt {1-e^x} \, dx\) [242]
  3.3.43 \(\int \genfrac {}{}{}{}{1}{3-5 \sin (x)} \, dx\) [243]
  3.3.44 \(\int \genfrac {}{}{}{}{1}{\cos (x)+\sin (x)} \, dx\) [244]
  3.3.45 \(\int \genfrac {}{}{}{}{1}{1-\cos (x)+\sin (x)} \, dx\) [245]
  3.3.46 \(\int \genfrac {}{}{}{}{1}{4 \cos (x)+3 \sin (x)} \, dx\) [246]
  3.3.47 \(\int \genfrac {}{}{}{}{1}{\sin (x)+\tan (x)} \, dx\) [247]
  3.3.48 \(\int \genfrac {}{}{}{}{1}{2 \sin (x)+\sin (2 x)} \, dx\) [248]
  3.3.49 \(\int \genfrac {}{}{}{}{\sec (x)}{1+\sin (x)} \, dx\) [249]
  3.3.50 \(\int \genfrac {}{}{}{}{1}{b \cos (x)+a \sin (x)} \, dx\) [250]
  3.3.51 \(\int \genfrac {}{}{}{}{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx\) [251]
  3.3.52 \(\int \genfrac {}{}{}{}{x}{-1+x^2} \, dx\) [252]
  3.3.53 \(\int (1+\sqrt {x}) \sqrt {x} \, dx\) [253]
  3.3.54 \(\int \genfrac {}{}{}{}{1}{1-\cos (x)} \, dx\) [254]
  3.3.55 \(\int \sec (x) \tan ^2(x) \, dx\) [255]
  3.3.56 \(\int \sec ^3(x) \tan ^3(x) \, dx\) [256]
  3.3.57 \(\int e^{\sqrt {x}} \, dx\) [257]
  3.3.58 \(\int \genfrac {}{}{}{}{1+x^5}{-10 x-3 x^2+x^3} \, dx\) [258]
  3.3.59 \(\int \genfrac {}{}{}{}{1}{x \sqrt {\log (x)}} \, dx\) [259]
  3.3.60 \(\int \genfrac {}{}{}{}{5+2 x}{-3+x} \, dx\) [260]
  3.3.61 \(\int e^{e^x+x} \, dx\) [261]
  3.3.62 \(\int \cos ^2(x) \sin ^2(x) \, dx\) [262]
  3.3.63 \(\int \genfrac {}{}{}{}{-\cos (x)+\sin (x)}{\cos (x)+\sin (x)} \, dx\) [263]
  3.3.64 \(\int \genfrac {}{}{}{}{x}{\sqrt {1-x^2}} \, dx\) [264]
  3.3.65 \(\int x^3 \log (x) \, dx\) [265]
  3.3.66 \(\int \genfrac {}{}{}{}{\sqrt {-2+x}}{2+x} \, dx\) [266]
  3.3.67 \(\int \genfrac {}{}{}{}{x}{(2+x)^2} \, dx\) [267]
  3.3.68 \(\int \log (1+x^2) \, dx\) [268]
  3.3.69 \(\int \genfrac {}{}{}{}{\sqrt {1+\log (x)}}{x \log (x)} \, dx\) [269]
  3.3.70 \(\int (1+\sqrt {x})^8 \, dx\) [270]
  3.3.71 \(\int \sec ^4(x) \tan ^3(x) \, dx\) [271]
  3.3.72 \(\int \genfrac {}{}{}{}{x}{2-2 x+x^2} \, dx\) [272]
  3.3.73 \(\int x \sin ^{-1}(x) \, dx\) [273]
  3.3.74 \(\int \genfrac {}{}{}{}{\sqrt {9-x^2}}{x} \, dx\) [274]
  3.3.75 \(\int \genfrac {}{}{}{}{x}{2+3 x+x^2} \, dx\) [275]
  3.3.76 \(\int x^2 \cosh (x) \, dx\) [276]
  3.3.77 \(\int \genfrac {}{}{}{}{1+x+x^3}{4 x+2 x^2+x^4} \, dx\) [277]
  3.3.78 \(\int \genfrac {}{}{}{}{\cos (x)}{1+\sin ^2(x)} \, dx\) [278]
  3.3.79 \(\int \cos (\sqrt {x}) \, dx\) [279]
  3.3.80 \(\int \sin (\pi x) \, dx\) [280]
  3.3.81 \(\int \genfrac {}{}{}{}{e^{2 x}}{1+e^x} \, dx\) [281]
  3.3.82 \(\int e^{3 x} \cos (5 x) \, dx\) [282]
  3.3.83 \(\int \cos (3 x) \cos (5 x) \, dx\) [283]
  3.3.84 \(\int \genfrac {}{}{}{}{1}{1+x+x^2+x^3} \, dx\) [284]
  3.3.85 \(\int x^2 \log (1+x) \, dx\) [285]
  3.3.86 \(\int e^{-x^3} x^5 \, dx\) [286]
  3.3.87 \(\int \tan ^2(4 x) \, dx\) [287]
  3.3.88 \(\int \genfrac {}{}{}{}{1}{\sqrt {-5+12 x+9 x^2}} \, dx\) [288]
  3.3.89 \(\int x^2 \tan ^{-1}(x) \, dx\) [289]
  3.3.90 \(\int \genfrac {}{}{}{}{1-\sqrt {x}}{\sqrt [3]{x}} \, dx\) [290]
  3.3.91 \(\int \genfrac {}{}{}{}{1}{-e^{-x}+e^x} \, dx\) [291]
  3.3.92 \(\int \genfrac {}{}{}{}{x}{10+2 x^2+x^4} \, dx\) [292]
  3.3.93 \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{\sqrt [3]{x}}+x} \, dx\) [293]
  3.3.94 \(\int \cos ^4(x) \sin ^2(x) \, dx\) [294]
  3.3.95 \(\int \genfrac {}{}{}{}{1}{\sqrt {5-4 x-x^2}} \, dx\) [295]
  3.3.96 \(\int \genfrac {}{}{}{}{x}{1-x^2+\sqrt {1-x^2}} \, dx\) [296]
  3.3.97 \(\int (1+\cos (x)) \csc (x) \, dx\) [297]
  3.3.98 \(\int \genfrac {}{}{}{}{e^x}{-1+e^{2 x}} \, dx\) [298]
  3.3.99 \(\int \genfrac {}{}{}{}{1}{-8+x^3} \, dx\) [299]
  3.3.100 \(\int x^5 \cosh (x) \, dx\) [300]