3.5 Integrals 401 to 500

   \(\int \genfrac {}{}{}{}{1}{x^{3/2} (b x^2+c x^4)^{3/2}} \, dx\) [401]
   \(\int \genfrac {}{}{}{}{1}{x^{5/2} (b x^2+c x^4)^{3/2}} \, dx\) [402]
   \(\int (c x)^m (b x^2+c x^4)^3 \, dx\) [403]
   \(\int (c x)^m (b x^2+c x^4)^2 \, dx\) [404]
   \(\int (c x)^m (b x^2+c x^4) \, dx\) [405]
   \(\int \genfrac {}{}{}{}{(c x)^m}{b x^2+c x^4} \, dx\) [406]
   \(\int \genfrac {}{}{}{}{(c x)^m}{(b x^2+c x^4)^2} \, dx\) [407]
   \(\int \genfrac {}{}{}{}{(c x)^m}{(b x^2+c x^4)^3} \, dx\) [408]
   \(\int x^3 (a^2+2 a b x^2+b^2 x^4) \, dx\) [409]
   \(\int x^2 (a^2+2 a b x^2+b^2 x^4) \, dx\) [410]
   \(\int x (a^2+2 a b x^2+b^2 x^4) \, dx\) [411]
   \(\int (a^2+2 a b x^2+b^2 x^4) \, dx\) [412]
   \(\int \genfrac {}{}{}{}{a^2+2 a b x^2+b^2 x^4}{x} \, dx\) [413]
   \(\int \genfrac {}{}{}{}{a^2+2 a b x^2+b^2 x^4}{x^2} \, dx\) [414]
   \(\int \genfrac {}{}{}{}{a^2+2 a b x^2+b^2 x^4}{x^3} \, dx\) [415]
   \(\int \genfrac {}{}{}{}{a^2+2 a b x^2+b^2 x^4}{x^4} \, dx\) [416]
   \(\int \genfrac {}{}{}{}{a^2+2 a b x^2+b^2 x^4}{x^5} \, dx\) [417]
   \(\int \genfrac {}{}{}{}{a^2+2 a b x^2+b^2 x^4}{x^6} \, dx\) [418]
   \(\int \genfrac {}{}{}{}{a^2+2 a b x^2+b^2 x^4}{x^7} \, dx\) [419]
   \(\int \genfrac {}{}{}{}{a^2+2 a b x^2+b^2 x^4}{x^8} \, dx\) [420]
   \(\int x^6 (a^2+2 a b x^2+b^2 x^4)^2 \, dx\) [421]
   \(\int x^5 (a^2+2 a b x^2+b^2 x^4)^2 \, dx\) [422]
   \(\int x^4 (a^2+2 a b x^2+b^2 x^4)^2 \, dx\) [423]
   \(\int x^3 (a^2+2 a b x^2+b^2 x^4)^2 \, dx\) [424]
   \(\int x^2 (a^2+2 a b x^2+b^2 x^4)^2 \, dx\) [425]
   \(\int x (a^2+2 a b x^2+b^2 x^4)^2 \, dx\) [426]
   \(\int (a^2+2 a b x^2+b^2 x^4)^2 \, dx\) [427]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x} \, dx\) [428]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^2} \, dx\) [429]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^3} \, dx\) [430]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^4} \, dx\) [431]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^5} \, dx\) [432]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^6} \, dx\) [433]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^7} \, dx\) [434]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^8} \, dx\) [435]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^9} \, dx\) [436]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^{10}} \, dx\) [437]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^{11}} \, dx\) [438]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^{12}} \, dx\) [439]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^{13}} \, dx\) [440]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^{14}} \, dx\) [441]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^{15}} \, dx\) [442]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^2}{x^{16}} \, dx\) [443]
   \(\int x^8 (a^2+2 a b x^2+b^2 x^4)^3 \, dx\) [444]
   \(\int x^7 (a^2+2 a b x^2+b^2 x^4)^3 \, dx\) [445]
   \(\int x^6 (a^2+2 a b x^2+b^2 x^4)^3 \, dx\) [446]
   \(\int x^5 (a^2+2 a b x^2+b^2 x^4)^3 \, dx\) [447]
   \(\int x^4 (a^2+2 a b x^2+b^2 x^4)^3 \, dx\) [448]
   \(\int x^3 (a^2+2 a b x^2+b^2 x^4)^3 \, dx\) [449]
   \(\int x^2 (a^2+2 a b x^2+b^2 x^4)^3 \, dx\) [450]
   \(\int x (a^2+2 a b x^2+b^2 x^4)^3 \, dx\) [451]
   \(\int (a^2+2 a b x^2+b^2 x^4)^3 \, dx\) [452]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x} \, dx\) [453]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^2} \, dx\) [454]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^3} \, dx\) [455]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^4} \, dx\) [456]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^5} \, dx\) [457]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^6} \, dx\) [458]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^7} \, dx\) [459]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^8} \, dx\) [460]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^9} \, dx\) [461]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{10}} \, dx\) [462]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{11}} \, dx\) [463]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{12}} \, dx\) [464]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{13}} \, dx\) [465]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{14}} \, dx\) [466]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{15}} \, dx\) [467]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{16}} \, dx\) [468]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{17}} \, dx\) [469]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{18}} \, dx\) [470]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{19}} \, dx\) [471]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{20}} \, dx\) [472]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{21}} \, dx\) [473]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x^2+b^2 x^4)^3}{x^{22}} \, dx\) [474]
   \(\int \genfrac {}{}{}{}{x^{11}}{a^2+2 a b x^2+b^2 x^4} \, dx\) [475]
   \(\int \genfrac {}{}{}{}{x^9}{a^2+2 a b x^2+b^2 x^4} \, dx\) [476]
   \(\int \genfrac {}{}{}{}{x^7}{a^2+2 a b x^2+b^2 x^4} \, dx\) [477]
   \(\int \genfrac {}{}{}{}{x^5}{a^2+2 a b x^2+b^2 x^4} \, dx\) [478]
   \(\int \genfrac {}{}{}{}{x^3}{a^2+2 a b x^2+b^2 x^4} \, dx\) [479]
   \(\int \genfrac {}{}{}{}{x}{a^2+2 a b x^2+b^2 x^4} \, dx\) [480]
   \(\int \genfrac {}{}{}{}{1}{x (a^2+2 a b x^2+b^2 x^4)} \, dx\) [481]
   \(\int \genfrac {}{}{}{}{1}{x^3 (a^2+2 a b x^2+b^2 x^4)} \, dx\) [482]
   \(\int \genfrac {}{}{}{}{1}{x^5 (a^2+2 a b x^2+b^2 x^4)} \, dx\) [483]
   \(\int \genfrac {}{}{}{}{x^{10}}{a^2+2 a b x^2+b^2 x^4} \, dx\) [484]
   \(\int \genfrac {}{}{}{}{x^8}{a^2+2 a b x^2+b^2 x^4} \, dx\) [485]
   \(\int \genfrac {}{}{}{}{x^6}{a^2+2 a b x^2+b^2 x^4} \, dx\) [486]
   \(\int \genfrac {}{}{}{}{x^4}{a^2+2 a b x^2+b^2 x^4} \, dx\) [487]
   \(\int \genfrac {}{}{}{}{x^2}{a^2+2 a b x^2+b^2 x^4} \, dx\) [488]
   \(\int \genfrac {}{}{}{}{1}{a^2+2 a b x^2+b^2 x^4} \, dx\) [489]
   \(\int \genfrac {}{}{}{}{1}{x^2 (a^2+2 a b x^2+b^2 x^4)} \, dx\) [490]
   \(\int \genfrac {}{}{}{}{1}{x^4 (a^2+2 a b x^2+b^2 x^4)} \, dx\) [491]
   \(\int \genfrac {}{}{}{}{1}{x^6 (a^2+2 a b x^2+b^2 x^4)} \, dx\) [492]
   \(\int \genfrac {}{}{}{}{x^{11}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [493]
   \(\int \genfrac {}{}{}{}{x^9}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [494]
   \(\int \genfrac {}{}{}{}{x^7}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [495]
   \(\int \genfrac {}{}{}{}{x^5}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [496]
   \(\int \genfrac {}{}{}{}{x^3}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [497]
   \(\int \genfrac {}{}{}{}{x}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [498]
   \(\int \genfrac {}{}{}{}{1}{x (a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [499]
   \(\int \genfrac {}{}{}{}{1}{x^3 (a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [500]