\(\int \genfrac {}{}{}{}{e^x}{1+e^{2 x}} \, dx\) [101]
\(\int e^{-x} \cot ^{-1}(e^x) \, dx\) [102]
\(\int \sqrt {\genfrac {}{}{}{}{a+x}{a-x}} \, dx\) [103]
\(\int \sqrt {(b-x) (-a+x)} \, dx\) [104]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(b-x) (-a+x)}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{3+5 x}{-3+2 x+x^2} \, dx\) [106]
\(\int \genfrac {}{}{}{}{5+2 x}{-3+2 x+x^2} \, dx\) [107]
\(\int \genfrac {}{}{}{}{3 x+x^3}{-3-2 x+x^2} \, dx\) [108]
\(\int \genfrac {}{}{}{}{-1+5 x+2 x^2}{-2 x+x^2+x^3} \, dx\) [109]
\(\int \genfrac {}{}{}{}{3+2 x+x^2}{(-1+x) (1+x)^2} \, dx\) [110]
\(\int \genfrac {}{}{}{}{-2+2 x+3 x^2}{-1+x^3} \, dx\) [111]
\(\int \genfrac {}{}{}{}{2-x+2 x^2-x^3+x^4}{(-1+x) (2+x^2)^2} \, dx\) [112]
\(\int \genfrac {}{}{}{}{1}{\cos (x)+\sin (x)} \, dx\) [113]
\(\int \genfrac {}{}{}{}{x}{4-x^2+\sqrt {4-x^2}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{3+2 x}{(-2+x) (5+x)} \, dx\) [115]
\(\int \genfrac {}{}{}{}{x}{(1+x) (2+x) (3+x)} \, dx\) [116]
\(\int \genfrac {}{}{}{}{x}{2-3 x+x^3} \, dx\) [117]
\(\int \genfrac {}{}{}{}{-6+2 x+x^4}{-2 x+x^2+x^3} \, dx\) [118]
\(\int \genfrac {}{}{}{}{7+8 x^3}{(1+x) (1+2 x)^3} \, dx\) [119]
\(\int \genfrac {}{}{}{}{1+x+4 x^2}{-1+x^3} \, dx\) [120]
\(\int \genfrac {}{}{}{}{x^4}{4+5 x^2+x^4} \, dx\) [121]
\(\int \genfrac {}{}{}{}{2+x}{x+x^2} \, dx\) [122]
\(\int \genfrac {}{}{}{}{1}{x (1+x^2)^2} \, dx\) [123]
\(\int \genfrac {}{}{}{}{1}{(1+x) (2+x)^2 (3+x)^3} \, dx\) [124]
\(\int \genfrac {}{}{}{}{x}{(1+x)^2} \, dx\) [125]
\(\int \genfrac {}{}{}{}{1}{-x+x^3} \, dx\) [126]
\(\int \genfrac {}{}{}{}{x^2}{-6+x+x^2} \, dx\) [127]
\(\int \genfrac {}{}{}{}{2+x}{4-4 x+x^2} \, dx\) [128]
\(\int \genfrac {}{}{}{}{1}{(4-4 x+x^2) (5-4 x+x^2)} \, dx\) [129]
\(\int \genfrac {}{}{}{}{-3+x}{2 x+3 x^2+x^3} \, dx\) [130]
\(\int \genfrac {}{}{}{}{1}{(-1+x^2)^2} \, dx\) [131]
\(\int \genfrac {}{}{}{}{1+x}{-1+x^3} \, dx\) [132]
\(\int \genfrac {}{}{}{}{1+x^4}{x (1+x^2)^2} \, dx\) [133]
\(\int \genfrac {}{}{}{}{1}{-2 x^3+x^4} \, dx\) [134]
\(\int \genfrac {}{}{}{}{1-x^3}{x (1+x^2)} \, dx\) [135]
\(\int \genfrac {}{}{}{}{1}{-1+x^4} \, dx\) [136]
\(\int \genfrac {}{}{}{}{1}{1+x^4} \, dx\) [137]
\(\int \genfrac {}{}{}{}{x^2}{(2+2 x+x^2)^2} \, dx\) [138]
\(\int \genfrac {}{}{}{}{-1+4 x^5}{(1+x+x^5)^2} \, dx\) [139]
\(\int \genfrac {}{}{}{}{1}{5-\cos (x)+2 \sin (x)} \, dx\) [140]
\(\int \genfrac {}{}{}{}{1}{1+a \cos (x)} \, dx\) [141]
\(\int \genfrac {}{}{}{}{1}{1+2 \cos (x)} \, dx\) [142]
\(\int \genfrac {}{}{}{}{1}{1+\genfrac {}{}{}{}{\cos (x)}{2}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{\sin ^2(x)}{1+\sin ^2(x)} \, dx\) [144]
\(\int \genfrac {}{}{}{}{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx\) [145]
\(\int \genfrac {}{}{}{}{1}{(b \cos (x)+a \sin (x))^2} \, dx\) [146]
\(\int \genfrac {}{}{}{}{\sin (x)}{1+\cos (x)+\sin (x)} \, dx\) [147]
\(\int \sqrt {3-x^2} \, dx\) [148]
\(\int \genfrac {}{}{}{}{x}{\sqrt {3-x^2}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{\sqrt {3-x^2}}{x} \, dx\) [150]
\(\int \genfrac {}{}{}{}{\sqrt {x+x^2}}{x} \, dx\) [151]
\(\int \sqrt {5+x^2} \, dx\) [152]
\(\int \genfrac {}{}{}{}{x}{\sqrt {1+x+x^2}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x+x^2}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{\sqrt {2-x-x^2}}{x^2} \, dx\) [155]
\(\int \genfrac {}{}{}{}{\log (t)}{1+t} \, dt\) [156]
\(\int \log (e^{\cos (x)}) \, dx\) [157]
\(\int \genfrac {}{}{}{}{e^t}{t} \, dt\) [158]
\(\int \genfrac {}{}{}{}{e^{a t}}{t} \, dt\) [159]
\(\int \genfrac {}{}{}{}{e^t}{t^2} \, dt\) [160]
\(\int e^{\genfrac {}{}{}{}{1}{t}} \, dt\) [161]
\(\int \genfrac {}{}{}{}{e^{-t}}{-1-a+t} \, dt\) [162]
\(\int \genfrac {}{}{}{}{e^{t^2} t}{1+t^2} \, dt\) [163]
\(\int \genfrac {}{}{}{}{e^t}{(1+t)^2} \, dt\) [164]
\(\int e^t \log (1+t) \, dt\) [165]
\(\int e^{-t} t \, dt\) [166]
\(\int e^{-t} t^2 \, dt\) [167]
\(\int e^{-t} t^3 \, dt\) [168]
\(\int \genfrac {}{}{}{}{\text {b1} \cos (x)+\text {a1} \sin (x)}{b \cos (x)+a \sin (x)} \, dx\) [169]
\(\int \genfrac {}{}{}{}{1}{\log (t)} \, dt\) [170]
\(\int \genfrac {}{}{}{}{1}{\log ^2(t)} \, dt\) [171]
\(\int \log ^{-1-n}(t) \, dt\) [172]
\(\int \genfrac {}{}{}{}{e^{2 t}}{-1+t} \, dt\) [173]
\(\int \genfrac {}{}{}{}{e^{2 x}}{2-3 x+x^2} \, dx\) [174]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+t^3}} \, dt\) [175]