\(\int \genfrac {}{}{}{}{2^{2 x}}{a+2^{-x} b} \, dx\) [401]
\(\int \genfrac {}{}{}{}{4^x}{a-2^{-x} b} \, dx\) [402]
\(\int \genfrac {}{}{}{}{2^{2 x}}{a-2^{-x} b} \, dx\) [403]
\(\int \genfrac {}{}{}{}{2^x}{a+4^x b} \, dx\) [404]
\(\int \genfrac {}{}{}{}{2^x}{a+2^{2 x} b} \, dx\) [405]
\(\int \genfrac {}{}{}{}{2^x}{a-4^x b} \, dx\) [406]
\(\int \genfrac {}{}{}{}{2^x}{a-2^{2 x} b} \, dx\) [407]
\(\int \genfrac {}{}{}{}{2^x}{a+4^{-x} b} \, dx\) [408]
\(\int \genfrac {}{}{}{}{2^x}{a+2^{-2 x} b} \, dx\) [409]
\(\int \genfrac {}{}{}{}{2^x}{a-4^{-x} b} \, dx\) [410]
\(\int \genfrac {}{}{}{}{2^x}{a-2^{-2 x} b} \, dx\) [411]
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a+4^x b}} \, dx\) [412]
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a+2^{2 x} b}} \, dx\) [413]
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a-4^x b}} \, dx\) [414]
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a-2^{2 x} b}} \, dx\) [415]
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a+4^{-x} b}} \, dx\) [416]
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a+2^{-2 x} b}} \, dx\) [417]
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a-4^{-x} b}} \, dx\) [418]
\(\int \genfrac {}{}{}{}{2^x}{\sqrt {a-2^{-2 x} b}} \, dx\) [419]
\(\int \genfrac {}{}{}{}{4^x}{\sqrt {a+2^x b}} \, dx\) [420]
\(\int \genfrac {}{}{}{}{2^{2 x}}{\sqrt {a+2^x b}} \, dx\) [421]
\(\int \genfrac {}{}{}{}{4^x}{\sqrt {a-2^x b}} \, dx\) [422]
\(\int \genfrac {}{}{}{}{2^{2 x}}{\sqrt {a-2^x b}} \, dx\) [423]
\(\int \genfrac {}{}{}{}{4^x}{\sqrt {a+2^{-x} b}} \, dx\) [424]
\(\int \genfrac {}{}{}{}{2^{2 x}}{\sqrt {a+2^{-x} b}} \, dx\) [425]
\(\int \genfrac {}{}{}{}{4^x}{\sqrt {a-2^{-x} b}} \, dx\) [426]
\(\int \genfrac {}{}{}{}{2^{2 x}}{\sqrt {a-2^{-x} b}} \, dx\) [427]
\(\int \genfrac {}{}{}{}{1}{1+2 e^x+e^{2 x}} \, dx\) [428]
\(\int \genfrac {}{}{}{}{1}{2+3 e^x+e^{2 x}} \, dx\) [429]
\(\int \genfrac {}{}{}{}{1}{-1+e^x+e^{2 x}} \, dx\) [430]
\(\int \genfrac {}{}{}{}{1}{3+3 e^x+e^{2 x}} \, dx\) [431]
\(\int \genfrac {}{}{}{}{1}{a+b e^x+c e^{2 x}} \, dx\) [432]
\(\int \genfrac {}{}{}{}{x}{1+2 e^x+e^{2 x}} \, dx\) [433]
\(\int \genfrac {}{}{}{}{x}{2+3 e^x+e^{2 x}} \, dx\) [434]
\(\int \genfrac {}{}{}{}{x}{-1+e^x+e^{2 x}} \, dx\) [435]
\(\int \genfrac {}{}{}{}{x}{3+3 e^x+e^{2 x}} \, dx\) [436]
\(\int \genfrac {}{}{}{}{x}{a+b e^x+c e^{2 x}} \, dx\) [437]
\(\int \genfrac {}{}{}{}{x^2}{1+2 e^x+e^{2 x}} \, dx\) [438]
\(\int \genfrac {}{}{}{}{x^2}{2+3 e^x+e^{2 x}} \, dx\) [439]
\(\int \genfrac {}{}{}{}{x^2}{-1+e^x+e^{2 x}} \, dx\) [440]
\(\int \genfrac {}{}{}{}{x^2}{3+3 e^x+e^{2 x}} \, dx\) [441]
\(\int \genfrac {}{}{}{}{x^2}{a+b e^x+c e^{2 x}} \, dx\) [442]
\(\int \genfrac {}{}{}{}{1}{1+2 f^{c+d x}+f^{2 c+2 d x}} \, dx\) [443]
\(\int \genfrac {}{}{}{}{1}{a+b f^{c+d x}+c f^{2 c+2 d x}} \, dx\) [444]
\(\int \genfrac {}{}{}{}{1}{a+b f^{g+h x}+c f^{2 (g+h x)}} \, dx\) [445]
\(\int \genfrac {}{}{}{}{x}{1+2 f^{c+d x}+f^{2 c+2 d x}} \, dx\) [446]
\(\int \genfrac {}{}{}{}{x}{a+b f^{c+d x}+c f^{2 c+2 d x}} \, dx\) [447]
\(\int \genfrac {}{}{}{}{x^2}{1+2 f^{c+d x}+f^{2 c+2 d x}} \, dx\) [448]
\(\int \genfrac {}{}{}{}{x^2}{a+b f^{c+d x}+c f^{2 c+2 d x}} \, dx\) [449]
\(\int \genfrac {}{}{}{}{d+e f^{g+h x}}{a+b f^{g+h x}+c f^{2 g+2 h x}} \, dx\) [450]
\(\int \genfrac {}{}{}{}{d+e f^{g+h x}}{a+b f^{g+h x}+c f^{2 (g+h x)}} \, dx\) [451]
\(\int \genfrac {}{}{}{}{1}{2+e^{-x}+e^x} \, dx\) [452]
\(\int \genfrac {}{}{}{}{x}{2+e^{-x}+e^x} \, dx\) [453]
\(\int \genfrac {}{}{}{}{x^2}{2+e^{-x}+e^x} \, dx\) [454]
\(\int \genfrac {}{}{}{}{1}{2+f^{-c-d x}+f^{c+d x}} \, dx\) [455]
\(\int \genfrac {}{}{}{}{x}{2+f^{-c-d x}+f^{c+d x}} \, dx\) [456]
\(\int \genfrac {}{}{}{}{x^2}{2+f^{-c-d x}+f^{c+d x}} \, dx\) [457]
\(\int \genfrac {}{}{}{}{1}{2+3^{-x}+3^x} \, dx\) [458]
\(\int \genfrac {}{}{}{}{1}{1-e^{-x}+2 e^x} \, dx\) [459]
\(\int \genfrac {}{}{}{}{1}{a+b e^{-x}+c e^x} \, dx\) [460]
\(\int \genfrac {}{}{}{}{x}{a+b e^{-x}+c e^x} \, dx\) [461]
\(\int \genfrac {}{}{}{}{x^2}{a+b e^{-x}+c e^x} \, dx\) [462]
\(\int \genfrac {}{}{}{}{1}{a+b f^{-c-d x}+c f^{c+d x}} \, dx\) [463]
\(\int \genfrac {}{}{}{}{x}{a+b f^{-c-d x}+c f^{c+d x}} \, dx\) [464]
\(\int \genfrac {}{}{}{}{x^2}{a+b f^{-c-d x}+c f^{c+d x}} \, dx\) [465]
\(\int \genfrac {}{}{}{}{(a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {f+g x}}})^n}{d f+(e f+d g) x+e g x^2} \, dx\) [466]
\(\int \genfrac {}{}{}{}{(a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {f+g x}}})^3}{d f+(e f+d g) x+e g x^2} \, dx\) [467]
\(\int \genfrac {}{}{}{}{(a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {f+g x}}})^2}{d f+(e f+d g) x+e g x^2} \, dx\) [468]
\(\int \genfrac {}{}{}{}{a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {f+g x}}}}{d f+(e f+d g) x+e g x^2} \, dx\) [469]
\(\int \genfrac {}{}{}{}{1}{(a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {f+g x}}}) (d f+(e f+d g) x+e g x^2)} \, dx\) [470]
\(\int \genfrac {}{}{}{}{1}{(a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {f+g x}}})^2 (d f+(e f+d g) x+e g x^2)} \, dx\) [471]
\(\int \genfrac {}{}{}{}{(a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {d f-e f x}}})^n}{d^2-e^2 x^2} \, dx\) [472]
\(\int \genfrac {}{}{}{}{(a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {d f-e f x}}})^3}{d^2-e^2 x^2} \, dx\) [473]
\(\int \genfrac {}{}{}{}{(a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {d f-e f x}}})^2}{d^2-e^2 x^2} \, dx\) [474]
\(\int \genfrac {}{}{}{}{a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {d f-e f x}}}}{d^2-e^2 x^2} \, dx\) [475]
\(\int \genfrac {}{}{}{}{1}{d^2-e^2 x^2} \, dx\) [476]
\(\int \genfrac {}{}{}{}{1}{(a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {d f-e f x}}}) (d^2-e^2 x^2)} \, dx\) [477]
\(\int \genfrac {}{}{}{}{1}{(a+b F^{\genfrac {}{}{}{}{c \sqrt {d+e x}}{\sqrt {d f-e f x}}})^2 (d^2-e^2 x^2)} \, dx\) [478]
\(\int \genfrac {}{}{}{}{(F^{\genfrac {}{}{}{}{\sqrt {1-a x}}{\sqrt {1+a x}}})^n}{1-a^2 x^2} \, dx\) [479]
\(\int \genfrac {}{}{}{}{F^{\genfrac {}{}{}{}{3 \sqrt {1-a x}}{\sqrt {1+a x}}}}{1-a^2 x^2} \, dx\) [480]
\(\int \genfrac {}{}{}{}{F^{\genfrac {}{}{}{}{2 \sqrt {1-a x}}{\sqrt {1+a x}}}}{1-a^2 x^2} \, dx\) [481]
\(\int \genfrac {}{}{}{}{F^{\genfrac {}{}{}{}{\sqrt {1-a x}}{\sqrt {1+a x}}}}{1-a^2 x^2} \, dx\) [482]
\(\int \genfrac {}{}{}{}{F^{-\genfrac {}{}{}{}{\sqrt {1-a x}}{\sqrt {1+a x}}}}{1-a^2 x^2} \, dx\) [483]
\(\int \genfrac {}{}{}{}{F^{-\genfrac {}{}{}{}{2 \sqrt {1-a x}}{\sqrt {1+a x}}}}{1-a^2 x^2} \, dx\) [484]
\(\int a^x b^x x^2 \, dx\) [485]
\(\int a^x b^x x \, dx\) [486]
\(\int a^x b^x \, dx\) [487]
\(\int \genfrac {}{}{}{}{a^x b^x}{x} \, dx\) [488]
\(\int \genfrac {}{}{}{}{a^x b^x}{x^2} \, dx\) [489]
\(\int \genfrac {}{}{}{}{a^x b^x}{x^3} \, dx\) [490]
\(\int a^x b^{-x} \, dx\) [491]
\(\int a^x b^x c^x \, dx\) [492]
\(\int a^x b^{-x} x^2 \, dx\) [493]
\(\int \genfrac {}{}{}{}{(d+e e^{h+i x}) (f+g x)^3}{a+b e^{h+i x}+c e^{2 h+2 i x}} \, dx\) [494]
\(\int \genfrac {}{}{}{}{(d+e e^{h+i x}) (f+g x)^2}{a+b e^{h+i x}+c e^{2 h+2 i x}} \, dx\) [495]
\(\int \genfrac {}{}{}{}{(d+e e^{h+i x}) (f+g x)}{a+b e^{h+i x}+c e^{2 h+2 i x}} \, dx\) [496]
\(\int \genfrac {}{}{}{}{d+e e^{h+i x}}{a+b e^{h+i x}+c e^{2 h+2 i x}} \, dx\) [497]
\(\int \genfrac {}{}{}{}{d+e e^{h+i x}}{(a+b e^{h+i x}+c e^{2 h+2 i x}) (f+g x)} \, dx\) [498]
\(\int \genfrac {}{}{}{}{d+e e^{h+i x}}{(a+b e^{h+i x}+c e^{2 h+2 i x}) (f+g x)^2} \, dx\) [499]
\(\int \genfrac {}{}{}{}{(b e-a e e^{c+d x}) x}{b e-2 a e e^{c+d x}-b e e^{2 (c+d x)}} \, dx\) [500]