3.6 Integrals 501 to 600

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