3.6 Integrals 501 to 600

  3.6.1 \(\int \genfrac {}{}{}{}{1}{x^5 (a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [501]
  3.6.2 \(\int \genfrac {}{}{}{}{x^{12}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [502]
  3.6.3 \(\int \genfrac {}{}{}{}{x^{10}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [503]
  3.6.4 \(\int \genfrac {}{}{}{}{x^8}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [504]
  3.6.5 \(\int \genfrac {}{}{}{}{x^6}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [505]
  3.6.6 \(\int \genfrac {}{}{}{}{x^4}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [506]
  3.6.7 \(\int \genfrac {}{}{}{}{x^2}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [507]
  3.6.8 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [508]
  3.6.9 \(\int \genfrac {}{}{}{}{1}{x^2 (a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [509]
  3.6.10 \(\int \genfrac {}{}{}{}{1}{x^4 (a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [510]
  3.6.11 \(\int \genfrac {}{}{}{}{1}{x^6 (a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [511]
  3.6.12 \(\int \genfrac {}{}{}{}{x^{15}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [512]
  3.6.13 \(\int \genfrac {}{}{}{}{x^{13}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [513]
  3.6.14 \(\int \genfrac {}{}{}{}{x^{11}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [514]
  3.6.15 \(\int \genfrac {}{}{}{}{x^9}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [515]
  3.6.16 \(\int \genfrac {}{}{}{}{x^7}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [516]
  3.6.17 \(\int \genfrac {}{}{}{}{x^5}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [517]
  3.6.18 \(\int \genfrac {}{}{}{}{x^3}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [518]
  3.6.19 \(\int \genfrac {}{}{}{}{x}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [519]
  3.6.20 \(\int \genfrac {}{}{}{}{1}{x (a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [520]
  3.6.21 \(\int \genfrac {}{}{}{}{1}{x^3 (a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [521]
  3.6.22 \(\int \genfrac {}{}{}{}{1}{x^5 (a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [522]
  3.6.23 \(\int \genfrac {}{}{}{}{x^{16}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [523]
  3.6.24 \(\int \genfrac {}{}{}{}{x^{14}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [524]
  3.6.25 \(\int \genfrac {}{}{}{}{x^{12}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [525]
  3.6.26 \(\int \genfrac {}{}{}{}{x^{10}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [526]
  3.6.27 \(\int \genfrac {}{}{}{}{x^8}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [527]
  3.6.28 \(\int \genfrac {}{}{}{}{x^6}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [528]
  3.6.29 \(\int \genfrac {}{}{}{}{x^4}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [529]
  3.6.30 \(\int \genfrac {}{}{}{}{x^2}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [530]
  3.6.31 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [531]
  3.6.32 \(\int \genfrac {}{}{}{}{1}{x^2 (a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [532]
  3.6.33 \(\int \genfrac {}{}{}{}{1}{x^4 (a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [533]
  3.6.34 \(\int \genfrac {}{}{}{}{1}{x^6 (a^2+2 a b x^2+b^2 x^4)^3} \, dx\) [534]
  3.6.35 \(\int \genfrac {}{}{}{}{1}{1+2 x^2+x^4} \, dx\) [535]
  3.6.36 \(\int \genfrac {}{}{}{}{x}{1+2 x^2+x^4} \, dx\) [536]
  3.6.37 \(\int \genfrac {}{}{}{}{x^2}{1+2 x^2+x^4} \, dx\) [537]
  3.6.38 \(\int \genfrac {}{}{}{}{x^3}{1+2 x^2+x^4} \, dx\) [538]
  3.6.39 \(\int \genfrac {}{}{}{}{x}{81-18 x^2+x^4} \, dx\) [539]
  3.6.40 \(\int \genfrac {}{}{}{}{x^3}{16-8 x^2+x^4} \, dx\) [540]
  3.6.41 \(\int x^5 \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [541]
  3.6.42 \(\int x^3 \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [542]
  3.6.43 \(\int x \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [543]
  3.6.44 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x} \, dx\) [544]
  3.6.45 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^3} \, dx\) [545]
  3.6.46 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^5} \, dx\) [546]
  3.6.47 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^7} \, dx\) [547]
  3.6.48 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^9} \, dx\) [548]
  3.6.49 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^{11}} \, dx\) [549]
  3.6.50 \(\int x^4 \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [550]
  3.6.51 \(\int x^2 \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [551]
  3.6.52 \(\int \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [552]
  3.6.53 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^2} \, dx\) [553]
  3.6.54 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^4} \, dx\) [554]
  3.6.55 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^6} \, dx\) [555]
  3.6.56 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^8} \, dx\) [556]
  3.6.57 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^{10}} \, dx\) [557]
  3.6.58 \(\int x^9 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [558]
  3.6.59 \(\int x^7 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [559]
  3.6.60 \(\int x^5 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [560]
  3.6.61 \(\int x^3 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [561]
  3.6.62 \(\int x (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [562]
  3.6.63 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x} \, dx\) [563]
  3.6.64 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^3} \, dx\) [564]
  3.6.65 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^5} \, dx\) [565]
  3.6.66 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^7} \, dx\) [566]
  3.6.67 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^9} \, dx\) [567]
  3.6.68 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{11}} \, dx\) [568]
  3.6.69 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{13}} \, dx\) [569]
  3.6.70 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{15}} \, dx\) [570]
  3.6.71 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{17}} \, dx\) [571]
  3.6.72 \(\int x^8 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [572]
  3.6.73 \(\int x^6 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [573]
  3.6.74 \(\int x^4 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [574]
  3.6.75 \(\int x^2 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [575]
  3.6.76 \(\int (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [576]
  3.6.77 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^2} \, dx\) [577]
  3.6.78 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^4} \, dx\) [578]
  3.6.79 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^6} \, dx\) [579]
  3.6.80 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^8} \, dx\) [580]
  3.6.81 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{10}} \, dx\) [581]
  3.6.82 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{12}} \, dx\) [582]
  3.6.83 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{14}} \, dx\) [583]
  3.6.84 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{16}} \, dx\) [584]
  3.6.85 \(\int x^{13} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [585]
  3.6.86 \(\int x^{11} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [586]
  3.6.87 \(\int x^9 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [587]
  3.6.88 \(\int x^7 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [588]
  3.6.89 \(\int x^5 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [589]
  3.6.90 \(\int x^3 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [590]
  3.6.91 \(\int x (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [591]
  3.6.92 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x} \, dx\) [592]
  3.6.93 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^3} \, dx\) [593]
  3.6.94 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^5} \, dx\) [594]
  3.6.95 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^7} \, dx\) [595]
  3.6.96 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^9} \, dx\) [596]
  3.6.97 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{11}} \, dx\) [597]
  3.6.98 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{13}} \, dx\) [598]
  3.6.99 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{15}} \, dx\) [599]
  3.6.100 \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{17}} \, dx\) [600]