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