3.6 Integrals 501 to 600

\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^4} \, dx\) [501]
\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^6} \, dx\) [502]
\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^8} \, dx\) [503]
\(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x^2+b^2 x^4}}{x^{10}} \, dx\) [504]
\(\int x^9 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [505]
\(\int x^7 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [506]
\(\int x^5 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [507]
\(\int x^3 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [508]
\(\int x (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [509]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x} \, dx\) [510]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^3} \, dx\) [511]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^5} \, dx\) [512]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^7} \, dx\) [513]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^9} \, dx\) [514]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{11}} \, dx\) [515]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{13}} \, dx\) [516]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{15}} \, dx\) [517]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{17}} \, dx\) [518]
\(\int x^8 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [519]
\(\int x^6 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [520]
\(\int x^4 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [521]
\(\int x^2 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [522]
\(\int (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\) [523]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^2} \, dx\) [524]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^4} \, dx\) [525]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^6} \, dx\) [526]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^8} \, dx\) [527]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{10}} \, dx\) [528]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{12}} \, dx\) [529]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{14}} \, dx\) [530]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{16}} \, dx\) [531]
\(\int x^{13} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [532]
\(\int x^{11} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [533]
\(\int x^9 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [534]
\(\int x^7 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [535]
\(\int x^5 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [536]
\(\int x^3 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [537]
\(\int x (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [538]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x} \, dx\) [539]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^3} \, dx\) [540]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^5} \, dx\) [541]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^7} \, dx\) [542]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^9} \, dx\) [543]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{11}} \, dx\) [544]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{13}} \, dx\) [545]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{15}} \, dx\) [546]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{17}} \, dx\) [547]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{19}} \, dx\) [548]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{21}} \, dx\) [549]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{23}} \, dx\) [550]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{25}} \, dx\) [551]
\(\int x^{12} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [552]
\(\int x^{10} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [553]
\(\int x^8 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [554]
\(\int x^6 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [555]
\(\int x^4 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [556]
\(\int x^2 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [557]
\(\int (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\) [558]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^2} \, dx\) [559]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^4} \, dx\) [560]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^6} \, dx\) [561]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^8} \, dx\) [562]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{10}} \, dx\) [563]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{12}} \, dx\) [564]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{14}} \, dx\) [565]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{16}} \, dx\) [566]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{18}} \, dx\) [567]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{20}} \, dx\) [568]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{22}} \, dx\) [569]
\(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{24}} \, dx\) [570]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\) [571]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\) [572]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\) [573]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\) [574]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\) [575]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\) [576]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\) [577]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\) [578]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\) [579]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\) [580]
\(\int \genfrac {}{}{}{}{x^7}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [581]
\(\int \genfrac {}{}{}{}{x^5}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [582]
\(\int \genfrac {}{}{}{}{x^3}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [583]
\(\int \genfrac {}{}{}{}{x}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [584]
\(\int \genfrac {}{}{}{}{1}{x (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [585]
\(\int \genfrac {}{}{}{}{1}{x^3 (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [586]
\(\int \genfrac {}{}{}{}{x^6}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [587]
\(\int \genfrac {}{}{}{}{x^4}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [588]
\(\int \genfrac {}{}{}{}{x^2}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [589]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [590]
\(\int \genfrac {}{}{}{}{1}{x^2 (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [591]
\(\int \genfrac {}{}{}{}{1}{x^4 (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\) [592]
\(\int \genfrac {}{}{}{}{x^{11}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\) [593]
\(\int \genfrac {}{}{}{}{x^9}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\) [594]
\(\int \genfrac {}{}{}{}{x^7}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\) [595]
\(\int \genfrac {}{}{}{}{x^5}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\) [596]
\(\int \genfrac {}{}{}{}{x^3}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\) [597]
\(\int \genfrac {}{}{}{}{x}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\) [598]
\(\int \genfrac {}{}{}{}{1}{x (a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\) [599]
\(\int \genfrac {}{}{}{}{1}{x^3 (a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\) [600]