3.3 Integrals 201 to 300

  3.3.1 \(\int \genfrac {}{}{}{}{-1+x}{(4+5 x+x^2)^2} \, dx\) [201]
  3.3.2 \(\int \genfrac {}{}{}{}{1}{(2+3 x+x^2)^5} \, dx\) [202]
  3.3.3 \(\int \genfrac {}{}{}{}{1}{x^3 (7-6 x+2 x^2)^2} \, dx\) [203]
  3.3.4 \(\int \genfrac {}{}{}{}{x^9}{(2+3 x+x^2)^5} \, dx\) [204]
  3.3.5 \(\int \genfrac {}{}{}{}{(1+2 x)^2}{(3+5 x+2 x^2)^5} \, dx\) [205]
  3.3.6 \(\int \genfrac {}{}{}{}{(a-b x^2)^3}{x^7} \, dx\) [206]
  3.3.7 \(\int \genfrac {}{}{}{}{x^{13}}{(a^4+x^4)^5} \, dx\) [207]
  3.3.8 \(\int (2 \sqrt {x}-x)^2 x^{3/2} (1+x^2) \, dx\) [208]
  3.3.9 \(\int (-3 x^{3/5}+x^{3/2})^2 (-\genfrac {}{}{}{}{x^{2/3}}{3}+4 x^{3/2}) \, dx\) [209]
  3.3.10 \(\int \genfrac {}{}{}{}{1}{1+\sqrt {1+x}} \, dx\) [210]
  3.3.11 \(\int \genfrac {}{}{}{}{x}{1+\sqrt {1+x}} \, dx\) [211]
  3.3.12 \(\int \genfrac {}{}{}{}{1+\sqrt {1+x}}{-1+\sqrt {1+x}} \, dx\) [212]
  3.3.13 \(\int \genfrac {}{}{}{}{1}{-\sqrt {1+x}+(1+x)^{2/3}} \, dx\) [213]
  3.3.14 \(\int \genfrac {}{}{}{}{\sqrt [3]{1+\sqrt [4]{x}}}{\sqrt {x}} \, dx\) [214]
  3.3.15 \(\int \genfrac {}{}{}{}{1}{x^3 (1+x)^{3/2}} \, dx\) [215]
  3.3.16 \(\int \genfrac {}{}{}{}{1}{(1-x)^{7/2} x^5} \, dx\) [216]
  3.3.17 \(\int \genfrac {}{}{}{}{1}{(-1+x)^{2/3} x^5} \, dx\) [217]
  3.3.18 \(\int \sqrt {\genfrac {}{}{}{}{1-x}{1+x}} \, dx\) [218]
  3.3.19 \(\int x \sqrt {\genfrac {}{}{}{}{-a+x}{b-x}} \, dx\) [219]
  3.3.20 \(\int \genfrac {}{}{}{}{\sqrt {-5+x} \sqrt {3+x}}{(-1+x) (-25+x^2)} \, dx\) [220]
  3.3.21 \(\int \genfrac {}{}{}{}{x^2 \sqrt {1+x} \sqrt [4]{1-x^2}}{\sqrt {1-x} (\sqrt {1-x}-\sqrt {1+x})} \, dx\) [221]
  3.3.22 \(\int \genfrac {}{}{}{}{\sqrt {1-x} x (1+x)^{2/3}}{-(1-x)^{5/6} \sqrt [3]{1+x}+(1-x)^{2/3} \sqrt {1+x}} \, dx\) [222]
  3.3.23 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{(-1+x)^4 (1+x)^2}} \, dx\) [223]
  3.3.24 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{(-1+x)^3 (2+x)^5}} \, dx\) [224]
  3.3.25 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{(-1+x)^7 (1+x)^2}} \, dx\) [225]
  3.3.26 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{(-1+x)^2 (1+x)}} \, dx\) [226]
  3.3.27 \(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{1}{x}+x}{\sqrt {(-2+x) (1+x)^3}} \, dx\) [227]
  3.3.28 \(\int \genfrac {}{}{}{}{\sqrt [3]{(-1+x)^2 (1+x)}}{x^2} \, dx\) [228]
  3.3.29 \(\int \genfrac {}{}{}{}{1}{(-3-2 x+x^2)^{5/2}} \, dx\) [229]
  3.3.30 \(\int \genfrac {}{}{}{}{1}{\sqrt {9+3 x-5 x^2+x^3}} \, dx\) [230]
  3.3.31 \(\int \genfrac {}{}{}{}{1}{(9+3 x-5 x^2+x^3)^{3/2}} \, dx\) [231]
  3.3.32 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{9+3 x-5 x^2+x^3}} \, dx\) [232]
  3.3.33 \(\int \genfrac {}{}{}{}{1}{(9+3 x-5 x^2+x^3)^{2/3}} \, dx\) [233]
  3.3.34 \(\int \genfrac {}{}{}{}{1}{(9+3 x-5 x^2+x^3)^{4/3}} \, dx\) [234]
  3.3.35 \(\int \genfrac {}{}{}{}{1}{\sqrt {4+3 x-2 x^2}} \, dx\) [235]
  3.3.36 \(\int \genfrac {}{}{}{}{1}{\sqrt {-3+4 x-x^2}} \, dx\) [236]
  3.3.37 \(\int \genfrac {}{}{}{}{1}{\sqrt {-2-5 x-3 x^2}} \, dx\) [237]
  3.3.38 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-x^2} (4+x^2)} \, dx\) [238]
  3.3.39 \(\int \genfrac {}{}{}{}{1}{(4+x^2) \sqrt {1+4 x^2}} \, dx\) [239]
  3.3.40 \(\int \genfrac {}{}{}{}{x}{(3-x^2) \sqrt {5-x^2}} \, dx\) [240]
  3.3.41 \(\int \genfrac {}{}{}{}{x}{\sqrt {3-x^2} (5-x^2)} \, dx\) [241]
  3.3.42 \(\int \genfrac {}{}{}{}{1}{\sqrt {2+x^2} (-1+x^4)} \, dx\) [242]
  3.3.43 \(\int \genfrac {}{}{}{}{x}{(-1+x^2) \sqrt {4+2 x+x^2}} \, dx\) [243]
  3.3.44 \(\int \genfrac {}{}{}{}{1}{\sqrt {5+2 x+x^2} (-8+x^3)} \, dx\) [244]
  3.3.45 \(\int \genfrac {}{}{}{}{x}{(4+x+x^2) \sqrt {5+4 x+4 x^2}} \, dx\) [245]
  3.3.46 \(\int \genfrac {}{}{}{}{3+x}{(1+x^2) \sqrt {1+x+x^2}} \, dx\) [246]
  3.3.47 \(\int \genfrac {}{}{}{}{1+2 x}{\sqrt {-1+6 x+x^2} (4+4 x+3 x^2)} \, dx\) [247]
  3.3.48 \(\int \genfrac {}{}{}{}{B+A x}{(17-18 x+5 x^2) \sqrt {13-22 x+10 x^2}} \, dx\) [248]
  3.3.49 \(\int \genfrac {}{}{}{}{-2+x}{(17-18 x+5 x^2) \sqrt {13-22 x+10 x^2}} \, dx\) [249]
  3.3.50 \(\int x^4 \sqrt {5-x^2} \, dx\) [250]
  3.3.51 \(\int \genfrac {}{}{}{}{1}{x^6 \sqrt {2+x^2}} \, dx\) [251]
  3.3.52 \(\int \genfrac {}{}{}{}{1}{(3+2 x^2)^{7/2}} \, dx\) [252]
  3.3.53 \(\int \genfrac {}{}{}{}{x}{1+x^2+a \sqrt {1+x^2}} \, dx\) [253]
  3.3.54 \(\int \genfrac {}{}{}{}{1-x+x^2}{(1+x^2)^{3/2}} \, dx\) [254]
  3.3.55 \(\int \genfrac {}{}{}{}{\sqrt {1+x^2}}{2+x^2} \, dx\) [255]
  3.3.56 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2} (2+x^2)^2} \, dx\) [256]
  3.3.57 \(\int \genfrac {}{}{}{}{x^2}{(-6+x^2) \sqrt {-2+x^2}} \, dx\) [257]
  3.3.58 \(\int \genfrac {}{}{}{}{5+x^2}{\sqrt {1-x^2} (1+x^2)^2} \, dx\) [258]
  3.3.59 \(\int \genfrac {}{}{}{}{4 x-\sqrt {1-x^2}}{5+\sqrt {1-x^2}} \, dx\) [259]
  3.3.60 \(\int \genfrac {}{}{}{}{x^2 (2-\sqrt {1+x^2})}{\sqrt {1+x^2} (1-x^3+(1+x^2)^{3/2})} \, dx\) [260]
  3.3.61 \(\int x \sqrt {2 r x-x^2} \, dx\) [261]
  3.3.62 \(\int x^2 \sqrt {2 r x-x^2} \, dx\) [262]
  3.3.63 \(\int x^3 \sqrt {2 r x-x^2} \, dx\) [263]
  3.3.64 \(\int \genfrac {}{}{}{}{1}{(-1+x^2) \sqrt {2 x+x^2}} \, dx\) [264]
  3.3.65 \(\int \genfrac {}{}{}{}{-2+3 x}{(1+x)^3 \sqrt {2 x-x^2}} \, dx\) [265]
  3.3.66 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+x+x^2}} \, dx\) [266]
  3.3.67 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {1+x+x^2}} \, dx\) [267]
  3.3.68 \(\int \genfrac {}{}{}{}{1}{(1+x+x^2)^{3/2}} \, dx\) [268]
  3.3.69 \(\int \genfrac {}{}{}{}{x}{(1+x+x^2)^{3/2}} \, dx\) [269]
  3.3.70 \(\int \genfrac {}{}{}{}{x^3}{(1+x+x^2)^{3/2}} \, dx\) [270]
  3.3.71 \(\int x^2 \sqrt {1+x+x^2} \, dx\) [271]
  3.3.72 \(\int (1+x+x^2)^{3/2} \, dx\) [272]
  3.3.73 \(\int (1+x+x^2)^{5/2} \, dx\) [273]
  3.3.74 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {1+x+x^2}} \, dx\) [274]
  3.3.75 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {1+x+x^2}} \, dx\) [275]
  3.3.76 \(\int \genfrac {}{}{}{}{1}{x^2 (1+x+x^2)^{3/2}} \, dx\) [276]
  3.3.77 \(\int \genfrac {}{}{}{}{1}{x^3 (1+x+x^2)^{3/2}} \, dx\) [277]
  3.3.78 \(\int \genfrac {}{}{}{}{1}{(1+x) \sqrt {1+x+x^2}} \, dx\) [278]
  3.3.79 \(\int \genfrac {}{}{}{}{1}{\sqrt {4+2 x+x^2} (-x+x^3)} \, dx\) [279]
  3.3.80 \(\int \genfrac {}{}{}{}{\sqrt {4+2 x+x^2}}{(-1+x)^2} \, dx\) [280]
  3.3.81 \(\int \genfrac {}{}{}{}{3+2 x}{(3+2 x+x^2)^2 \sqrt {4+2 x+x^2}} \, dx\) [281]
  3.3.82 \(\int \genfrac {}{}{}{}{3 x^2+2 x^3}{\sqrt {-3+2 x+x^2} (-3+x+2 x^2)} \, dx\) [282]
  3.3.83 \(\int \genfrac {}{}{}{}{1+x^4}{(1+x+x^2) \sqrt {2+x+x^2}} \, dx\) [283]
  3.3.84 \(\int \genfrac {}{}{}{}{1}{(4+2 x+x^2)^{7/2}} \, dx\) [284]
  3.3.85 \(\int \genfrac {}{}{}{}{1}{(1+8 x+3 x^2)^{5/2}} \, dx\) [285]
  3.3.86 \(\int \genfrac {}{}{}{}{1}{(5+4 x-3 x^2)^{5/2}} \, dx\) [286]
  3.3.87 \(\int \genfrac {}{}{}{}{1}{1+\sqrt {2+2 x+x^2}} \, dx\) [287]
  3.3.88 \(\int \genfrac {}{}{}{}{1}{x+\sqrt {1+x+x^2}} \, dx\) [288]
  3.3.89 \(\int \genfrac {}{}{}{}{x^2}{1+2 x+2 \sqrt {1+x+x^2}} \, dx\) [289]
  3.3.90 \(\int \genfrac {}{}{}{}{-3 x+\sqrt {1+x+x^2}}{-1+\sqrt {1+x+x^2}} \, dx\) [290]
  3.3.91 \(\int \genfrac {}{}{}{}{1+x}{-\sqrt {1+x+x^2}+\sqrt {4+2 x+x^2}} \, dx\) [291]
  3.3.92 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x} x^3} \, dx\) [292]
  3.3.93 \(\int \genfrac {}{}{}{}{1}{(1-\genfrac {}{}{}{}{3}{x})^{4/3} x^2} \, dx\) [293]
  3.3.94 \(\int \genfrac {}{}{}{}{(-1+3 x)^{4/3}}{x^2} \, dx\) [294]
  3.3.95 \(\int (4-3 x)^{4/3} x^2 \, dx\) [295]
  3.3.96 \(\int \genfrac {}{}{}{}{(1-2 \sqrt [3]{x})^{3/4}}{x} \, dx\) [296]
  3.3.97 \(\int \genfrac {}{}{}{}{x}{(3-2 \sqrt {x})^{3/4}} \, dx\) [297]
  3.3.98 \(\int \genfrac {}{}{}{}{(-1+2 \sqrt {x})^{5/4}}{x^2} \, dx\) [298]
  3.3.99 \(\int x^6 \sqrt [3]{1+x^7} \, dx\) [299]
  3.3.100 \(\int \genfrac {}{}{}{}{x^6}{(1+x^7)^{5/3}} \, dx\) [300]