3.6 Integrals 501 to 600

\(\int \genfrac {}{}{}{}{1}{(1+2 x)^2 (2+3 x+5 x^2)^4} \, dx\) [501]
\(\int \genfrac {}{}{}{}{4+x}{(5+4 x+x^2)^2} \, dx\) [502]
\(\int \genfrac {}{}{}{}{-1+3 x}{(1+x+x^2)^2} \, dx\) [503]
\(\int \genfrac {}{}{}{}{5+2 x}{5+4 x+x^2} \, dx\) [504]
\(\int \genfrac {}{}{}{}{-2+7 x}{42-16 x+2 x^2} \, dx\) [505]
\(\int \genfrac {}{}{}{}{1+x}{(1-x+x^2)^3} \, dx\) [506]
\(\int \genfrac {}{}{}{}{-1+x}{3-4 x+3 x^2} \, dx\) [507]
\(\int \genfrac {}{}{}{}{31+5 x}{11-4 x+3 x^2} \, dx\) [508]
\(\int \genfrac {}{}{}{}{1}{(-1+x) (1+x+x^2)} \, dx\) [509]
\(\int \genfrac {}{}{}{}{2 ((\genfrac {}{}{}{}{a}{b})^{\genfrac {}{}{}{}{1}{n}}-x \cos (\genfrac {}{}{}{}{(-1+2 k) \pi }{n}))}{(\genfrac {}{}{}{}{a}{b})^{2/n}+x^2-2 (\genfrac {}{}{}{}{a}{b})^{\genfrac {}{}{}{}{1}{n}} x \cos (\genfrac {}{}{}{}{(-1+2 k) \pi }{n})} \, dx\) [510]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {2}+x)^2 (1+x+x^2)^2} \, dx\) [511]
\(\int (d+e x)^{5/2} (a+b x+c x^2) \, dx\) [512]
\(\int (d+e x)^{3/2} (a+b x+c x^2) \, dx\) [513]
\(\int \sqrt {d+e x} (a+b x+c x^2) \, dx\) [514]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{\sqrt {d+e x}} \, dx\) [515]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^{3/2}} \, dx\) [516]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^{5/2}} \, dx\) [517]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^{7/2}} \, dx\) [518]
\(\int (d+e x)^{5/2} (a+b x+c x^2)^2 \, dx\) [519]
\(\int (d+e x)^{3/2} (a+b x+c x^2)^2 \, dx\) [520]
\(\int \sqrt {d+e x} (a+b x+c x^2)^2 \, dx\) [521]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{\sqrt {d+e x}} \, dx\) [522]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^{3/2}} \, dx\) [523]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^{5/2}} \, dx\) [524]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^{7/2}} \, dx\) [525]
\(\int (d+e x)^{5/2} (a+b x+c x^2)^3 \, dx\) [526]
\(\int (d+e x)^{3/2} (a+b x+c x^2)^3 \, dx\) [527]
\(\int \sqrt {d+e x} (a+b x+c x^2)^3 \, dx\) [528]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{\sqrt {d+e x}} \, dx\) [529]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^{3/2}} \, dx\) [530]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^{5/2}} \, dx\) [531]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^{7/2}} \, dx\) [532]
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{a+b x+c x^2} \, dx\) [533]
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{a+b x+c x^2} \, dx\) [534]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{a+b x+c x^2} \, dx\) [535]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a+b x+c x^2)} \, dx\) [536]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a+b x+c x^2)} \, dx\) [537]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a+b x+c x^2)} \, dx\) [538]
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a+b x+c x^2)^2} \, dx\) [539]
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a+b x+c x^2)^2} \, dx\) [540]
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a+b x+c x^2)^2} \, dx\) [541]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a+b x+c x^2)^2} \, dx\) [542]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a+b x+c x^2)^2} \, dx\) [543]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a+b x+c x^2)^2} \, dx\) [544]
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a+b x+c x^2)^3} \, dx\) [545]
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a+b x+c x^2)^3} \, dx\) [546]
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a+b x+c x^2)^3} \, dx\) [547]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a+b x+c x^2)^3} \, dx\) [548]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a+b x+c x^2)^3} \, dx\) [549]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{a+i b x+c x^2} \, dx\) [550]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a+i b x+c x^2)} \, dx\) [551]
\(\int \genfrac {}{}{}{}{(1+2 x)^{7/2}}{2+3 x+5 x^2} \, dx\) [552]
\(\int \genfrac {}{}{}{}{(1+2 x)^{5/2}}{2+3 x+5 x^2} \, dx\) [553]
\(\int \genfrac {}{}{}{}{(1+2 x)^{3/2}}{2+3 x+5 x^2} \, dx\) [554]
\(\int \genfrac {}{}{}{}{\sqrt {1+2 x}}{2+3 x+5 x^2} \, dx\) [555]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+2 x} (2+3 x+5 x^2)} \, dx\) [556]
\(\int \genfrac {}{}{}{}{1}{(1+2 x)^{3/2} (2+3 x+5 x^2)} \, dx\) [557]
\(\int \genfrac {}{}{}{}{1}{(1+2 x)^{5/2} (2+3 x+5 x^2)} \, dx\) [558]
\(\int \genfrac {}{}{}{}{(1+2 x)^{7/2}}{(2+3 x+5 x^2)^2} \, dx\) [559]
\(\int \genfrac {}{}{}{}{(1+2 x)^{5/2}}{(2+3 x+5 x^2)^2} \, dx\) [560]
\(\int \genfrac {}{}{}{}{(1+2 x)^{3/2}}{(2+3 x+5 x^2)^2} \, dx\) [561]
\(\int \genfrac {}{}{}{}{\sqrt {1+2 x}}{(2+3 x+5 x^2)^2} \, dx\) [562]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+2 x} (2+3 x+5 x^2)^2} \, dx\) [563]
\(\int \genfrac {}{}{}{}{1}{(1+2 x)^{3/2} (2+3 x+5 x^2)^2} \, dx\) [564]
\(\int \genfrac {}{}{}{}{1}{(1+2 x)^{5/2} (2+3 x+5 x^2)^2} \, dx\) [565]
\(\int \genfrac {}{}{}{}{(1+2 x)^{9/2}}{(2+3 x+5 x^2)^3} \, dx\) [566]
\(\int \genfrac {}{}{}{}{(1+2 x)^{7/2}}{(2+3 x+5 x^2)^3} \, dx\) [567]
\(\int \genfrac {}{}{}{}{(1+2 x)^{5/2}}{(2+3 x+5 x^2)^3} \, dx\) [568]
\(\int \genfrac {}{}{}{}{(1+2 x)^{3/2}}{(2+3 x+5 x^2)^3} \, dx\) [569]
\(\int \genfrac {}{}{}{}{\sqrt {1+2 x}}{(2+3 x+5 x^2)^3} \, dx\) [570]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+2 x} (2+3 x+5 x^2)^3} \, dx\) [571]
\(\int \genfrac {}{}{}{}{1}{(1+2 x)^{3/2} (2+3 x+5 x^2)^3} \, dx\) [572]
\(\int (d+e x)^3 \sqrt {a+b x+c x^2} \, dx\) [573]
\(\int (d+e x)^2 \sqrt {a+b x+c x^2} \, dx\) [574]
\(\int (d+e x) \sqrt {a+b x+c x^2} \, dx\) [575]
\(\int \sqrt {a+b x+c x^2} \, dx\) [576]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{d+e x} \, dx\) [577]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^2} \, dx\) [578]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^3} \, dx\) [579]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^4} \, dx\) [580]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^5} \, dx\) [581]
\(\int (d+e x)^3 (a+b x+c x^2)^{3/2} \, dx\) [582]
\(\int (d+e x)^2 (a+b x+c x^2)^{3/2} \, dx\) [583]
\(\int (d+e x) (a+b x+c x^2)^{3/2} \, dx\) [584]
\(\int (a+b x+c x^2)^{3/2} \, dx\) [585]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{d+e x} \, dx\) [586]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^2} \, dx\) [587]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^3} \, dx\) [588]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^4} \, dx\) [589]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^5} \, dx\) [590]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^6} \, dx\) [591]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^7} \, dx\) [592]
\(\int (d+e x)^3 (a+b x+c x^2)^{5/2} \, dx\) [593]
\(\int (d+e x)^2 (a+b x+c x^2)^{5/2} \, dx\) [594]
\(\int (d+e x) (a+b x+c x^2)^{5/2} \, dx\) [595]
\(\int (a+b x+c x^2)^{5/2} \, dx\) [596]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{d+e x} \, dx\) [597]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^2} \, dx\) [598]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^3} \, dx\) [599]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^4} \, dx\) [600]