3.6 Integrals 501 to 600

\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {2+b x}} \, dx\) [501]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} \sqrt {2+b x}} \, dx\) [502]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} \sqrt {2+b x}} \, dx\) [503]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} \sqrt {2+b x}} \, dx\) [504]
\(\int \genfrac {}{}{}{}{1}{x^{9/2} \sqrt {2+b x}} \, dx\) [505]
\(\int \genfrac {}{}{}{}{x^{5/2}}{(2+b x)^{3/2}} \, dx\) [506]
\(\int \genfrac {}{}{}{}{x^{3/2}}{(2+b x)^{3/2}} \, dx\) [507]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{(2+b x)^{3/2}} \, dx\) [508]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (2+b x)^{3/2}} \, dx\) [509]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} (2+b x)^{3/2}} \, dx\) [510]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} (2+b x)^{3/2}} \, dx\) [511]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} (2+b x)^{3/2}} \, dx\) [512]
\(\int \genfrac {}{}{}{}{x^{5/2}}{(2+b x)^{5/2}} \, dx\) [513]
\(\int \genfrac {}{}{}{}{x^{3/2}}{(2+b x)^{5/2}} \, dx\) [514]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{(2+b x)^{5/2}} \, dx\) [515]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (2+b x)^{5/2}} \, dx\) [516]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} (2+b x)^{5/2}} \, dx\) [517]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} (2+b x)^{5/2}} \, dx\) [518]
\(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {1+x}} \, dx\) [519]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {1+x}} \, dx\) [520]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {1+x}} \, dx\) [521]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} \sqrt {1+x}} \, dx\) [522]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} \sqrt {1+x}} \, dx\) [523]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} \sqrt {1+x}} \, dx\) [524]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {3+2 x}} \, dx\) [525]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-2 x} \sqrt {x}} \, dx\) [526]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {-3+2 x}} \, dx\) [527]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-3-2 x} \sqrt {x}} \, dx\) [528]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {4+x}} \, dx\) [529]
\(\int \genfrac {}{}{}{}{1}{\sqrt {4-x} \sqrt {x}} \, dx\) [530]
\(\int x^{5/2} \sqrt {a-b x} \, dx\) [531]
\(\int x^{3/2} \sqrt {a-b x} \, dx\) [532]
\(\int \sqrt {x} \sqrt {a-b x} \, dx\) [533]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x}}{\sqrt {x}} \, dx\) [534]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x}}{x^{3/2}} \, dx\) [535]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x}}{x^{5/2}} \, dx\) [536]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x}}{x^{7/2}} \, dx\) [537]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x}}{x^{9/2}} \, dx\) [538]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x}}{x^{11/2}} \, dx\) [539]
\(\int x^{5/2} (a-b x)^{3/2} \, dx\) [540]
\(\int x^{3/2} (a-b x)^{3/2} \, dx\) [541]
\(\int \sqrt {x} (a-b x)^{3/2} \, dx\) [542]
\(\int \genfrac {}{}{}{}{(a-b x)^{3/2}}{\sqrt {x}} \, dx\) [543]
\(\int \genfrac {}{}{}{}{(a-b x)^{3/2}}{x^{3/2}} \, dx\) [544]
\(\int \genfrac {}{}{}{}{(a-b x)^{3/2}}{x^{5/2}} \, dx\) [545]
\(\int x^{5/2} (a-b x)^{5/2} \, dx\) [546]
\(\int x^{3/2} (a-b x)^{5/2} \, dx\) [547]
\(\int \sqrt {x} (a-b x)^{5/2} \, dx\) [548]
\(\int \genfrac {}{}{}{}{(a-b x)^{5/2}}{\sqrt {x}} \, dx\) [549]
\(\int \genfrac {}{}{}{}{(a-b x)^{5/2}}{x^{3/2}} \, dx\) [550]
\(\int \genfrac {}{}{}{}{(a-b x)^{5/2}}{x^{5/2}} \, dx\) [551]
\(\int \genfrac {}{}{}{}{x^{5/2}}{\sqrt {a-b x}} \, dx\) [552]
\(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {a-b x}} \, dx\) [553]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {a-b x}} \, dx\) [554]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {a-b x}} \, dx\) [555]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} \sqrt {a-b x}} \, dx\) [556]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} \sqrt {a-b x}} \, dx\) [557]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} \sqrt {a-b x}} \, dx\) [558]
\(\int \genfrac {}{}{}{}{1}{x^{9/2} \sqrt {a-b x}} \, dx\) [559]
\(\int \genfrac {}{}{}{}{x^{5/2}}{(a-b x)^{3/2}} \, dx\) [560]
\(\int \genfrac {}{}{}{}{x^{3/2}}{(a-b x)^{3/2}} \, dx\) [561]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{(a-b x)^{3/2}} \, dx\) [562]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a-b x)^{3/2}} \, dx\) [563]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} (a-b x)^{3/2}} \, dx\) [564]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} (a-b x)^{3/2}} \, dx\) [565]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} (a-b x)^{3/2}} \, dx\) [566]
\(\int \genfrac {}{}{}{}{x^{5/2}}{(a-b x)^{5/2}} \, dx\) [567]
\(\int \genfrac {}{}{}{}{x^{3/2}}{(a-b x)^{5/2}} \, dx\) [568]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{(a-b x)^{5/2}} \, dx\) [569]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a-b x)^{5/2}} \, dx\) [570]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} (a-b x)^{5/2}} \, dx\) [571]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} (a-b x)^{5/2}} \, dx\) [572]
\(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {1-x}} \, dx\) [573]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {1-x}} \, dx\) [574]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x} \sqrt {x}} \, dx\) [575]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x} x^{3/2}} \, dx\) [576]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x} x^{5/2}} \, dx\) [577]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-x} x^{7/2}} \, dx\) [578]
\(\int \genfrac {}{}{}{}{1}{(b x)^{5/4} \sqrt {-c+d x}} \, dx\) [579]
\(\int \genfrac {}{}{}{}{1}{(b x)^{5/4} \sqrt {-c-d x}} \, dx\) [580]
\(\int \genfrac {}{}{}{}{1}{(b x)^{5/4} \sqrt {c+d x}} \, dx\) [581]
\(\int \genfrac {}{}{}{}{1}{(b x)^{5/4} \sqrt {c-d x}} \, dx\) [582]
\(\int x^3 \sqrt [3]{a+b x} \, dx\) [583]
\(\int x^2 \sqrt [3]{a+b x} \, dx\) [584]
\(\int x \sqrt [3]{a+b x} \, dx\) [585]
\(\int \sqrt [3]{a+b x} \, dx\) [586]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{x} \, dx\) [587]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{x^2} \, dx\) [588]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{x^3} \, dx\) [589]
\(\int x^3 (a+b x)^{2/3} \, dx\) [590]
\(\int x^2 (a+b x)^{2/3} \, dx\) [591]
\(\int x (a+b x)^{2/3} \, dx\) [592]
\(\int (a+b x)^{2/3} \, dx\) [593]
\(\int \genfrac {}{}{}{}{(a+b x)^{2/3}}{x} \, dx\) [594]
\(\int \genfrac {}{}{}{}{(a+b x)^{2/3}}{x^2} \, dx\) [595]
\(\int \genfrac {}{}{}{}{(a+b x)^{2/3}}{x^3} \, dx\) [596]
\(\int x^3 (a+b x)^{4/3} \, dx\) [597]
\(\int x^2 (a+b x)^{4/3} \, dx\) [598]
\(\int x (a+b x)^{4/3} \, dx\) [599]
\(\int (a+b x)^{4/3} \, dx\) [600]