3.5 Integrals 401 to 500

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