3.6 Integrals 501 to 600

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