3.5 Integrals 401 to 500

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