3.6 Integrals 501 to 564

\(\int (a+b x^2)^{3/4} (c+d x^2)^{7/4} \, dx\) [501]
\(\int (a+b x^2)^{3/4} (c+d x^2)^{3/4} \, dx\) [502]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/4}}{\sqrt [4]{c+d x^2}} \, dx\) [503]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/4}}{(c+d x^2)^{5/4}} \, dx\) [504]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/4}}{(c+d x^2)^{9/4}} \, dx\) [505]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/4}}{(c+d x^2)^{13/4}} \, dx\) [506]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/4}}{(c+d x^2)^{17/4}} \, dx\) [507]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{7/4}}{(a+b x^2)^{13/4}} \, dx\) [508]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{7/4}}{(c+d x^2)^{13/4}} \, dx\) [509]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{7/4}}{\sqrt [4]{a+b x^2}} \, dx\) [510]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{3/4}}{\sqrt [4]{a+b x^2}} \, dx\) [511]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^2} \sqrt [4]{c+d x^2}} \, dx\) [512]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^2} (c+d x^2)^{5/4}} \, dx\) [513]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^2} (c+d x^2)^{9/4}} \, dx\) [514]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^2} (c+d x^2)^{13/4}} \, dx\) [515]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^2} (c+d x^2)^{17/4}} \, dx\) [516]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a+b x^2} (c+d x^2)^{21/4}} \, dx\) [517]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{9/4}}{(a+b x^2)^{3/4}} \, dx\) [518]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{5/4}}{(a+b x^2)^{3/4}} \, dx\) [519]
\(\int \genfrac {}{}{}{}{\sqrt [4]{c+d x^2}}{(a+b x^2)^{3/4}} \, dx\) [520]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{3/4} (c+d x^2)^{3/4}} \, dx\) [521]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{3/4} (c+d x^2)^{7/4}} \, dx\) [522]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{3/4} (c+d x^2)^{11/4}} \, dx\) [523]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{3/4} (c+d x^2)^{15/4}} \, dx\) [524]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{3/4} (c+d x^2)^{19/4}} \, dx\) [525]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{11/4}}{(a+b x^2)^{5/4}} \, dx\) [526]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{7/4}}{(a+b x^2)^{5/4}} \, dx\) [527]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{3/4}}{(a+b x^2)^{5/4}} \, dx\) [528]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{5/4} \sqrt [4]{c+d x^2}} \, dx\) [529]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{5/4} (c+d x^2)^{5/4}} \, dx\) [530]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{5/4} (c+d x^2)^{9/4}} \, dx\) [531]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{5/4} (c+d x^2)^{13/4}} \, dx\) [532]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{13/4}}{(a+b x^2)^{7/4}} \, dx\) [533]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{9/4}}{(a+b x^2)^{7/4}} \, dx\) [534]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{5/4}}{(a+b x^2)^{7/4}} \, dx\) [535]
\(\int \genfrac {}{}{}{}{\sqrt [4]{c+d x^2}}{(a+b x^2)^{7/4}} \, dx\) [536]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{7/4} (c+d x^2)^{3/4}} \, dx\) [537]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{7/4} (c+d x^2)^{7/4}} \, dx\) [538]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{7/4} (c+d x^2)^{11/4}} \, dx\) [539]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{15/4}}{(a+b x^2)^{9/4}} \, dx\) [540]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{11/4}}{(a+b x^2)^{9/4}} \, dx\) [541]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{7/4}}{(a+b x^2)^{9/4}} \, dx\) [542]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{3/4}}{(a+b x^2)^{9/4}} \, dx\) [543]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{9/4} \sqrt [4]{c+d x^2}} \, dx\) [544]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{9/4} (c+d x^2)^{5/4}} \, dx\) [545]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{9/4} (c+d x^2)^{9/4}} \, dx\) [546]
\(\int (2+b x^2)^p (-6+3 b x^2)^p \, dx\) [547]
\(\int (a+b x^2)^p (a c-b c x^2)^p \, dx\) [548]
\(\int (a+b x^2)^p (c+d x^2)^q \, dx\) [549]
\(\int (a+b x^2)^p (c+d x^2)^3 \, dx\) [550]
\(\int (a+b x^2)^p (c+d x^2)^2 \, dx\) [551]
\(\int (a+b x^2)^p (c+d x^2) \, dx\) [552]
\(\int (a+b x^2)^p \, dx\) [553]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p}{c+d x^2} \, dx\) [554]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p}{(c+d x^2)^2} \, dx\) [555]
\(\int (a+b x^2)^{-1-\genfrac {}{}{}{}{b c}{2 b c-2 a d}} (c+d x^2)^{-1+\genfrac {}{}{}{}{a d}{2 b c-2 a d}} \, dx\) [556]
\(\int (2+3 x^2)^p (5+7 x^2)^{-p} \, dx\) [557]
\(\int (5-7 x^2)^{-p} (2+3 x^2)^p \, dx\) [558]
\(\int (-2+3 x^2)^p (5+7 x^2)^{-p} \, dx\) [559]
\(\int (5-7 x^2)^{-p} (-2+3 x^2)^p \, dx\) [560]
\(\int \genfrac {}{}{}{}{(2-6 x^2)^p}{\sqrt {2-3 x^2}} \, dx\) [561]
\(\int \genfrac {}{}{}{}{\sqrt {x^2} (2-6 x^2)^p}{\sqrt {2 x^2-3 x^4}} \, dx\) [562]
\(\int \genfrac {}{}{}{}{\sqrt [3]{2-6 x^2}}{\sqrt {2-3 x^2}} \, dx\) [563]
\(\int \genfrac {}{}{}{}{\sqrt {x^2} \sqrt [3]{2-6 x^2}}{\sqrt {2 x^2-3 x^4}} \, dx\) [564]