3.1 Integrals 1 to 62

\(\int \genfrac {}{}{}{}{x^2}{1+2 x+\sqrt {-3-2 x+4 x^2}} \, dx\) [1]
\(\int \genfrac {}{}{}{}{x}{1+2 x+\sqrt {-3-2 x+4 x^2}} \, dx\) [2]
\(\int \genfrac {}{}{}{}{1}{1+2 x+\sqrt {-3-2 x+4 x^2}} \, dx\) [3]
\(\int \genfrac {}{}{}{}{1}{x (1+2 x+\sqrt {-3-2 x+4 x^2})} \, dx\) [4]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+2 x+\sqrt {-3-2 x+4 x^2})} \, dx\) [5]
\(\int \genfrac {}{}{}{}{1}{x^3 (1+2 x+\sqrt {-3-2 x+4 x^2})} \, dx\) [6]
\(\int \genfrac {}{}{}{}{x^2}{(1+2 x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [7]
\(\int \genfrac {}{}{}{}{x}{(1+2 x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [8]
\(\int \genfrac {}{}{}{}{1}{(1+2 x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [9]
\(\int \genfrac {}{}{}{}{1}{x (1+2 x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [10]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+2 x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [11]
\(\int \genfrac {}{}{}{}{x^2}{(1+2 x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [12]
\(\int \genfrac {}{}{}{}{x}{(1+2 x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [13]
\(\int \genfrac {}{}{}{}{1}{(1+2 x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [14]
\(\int \genfrac {}{}{}{}{1}{x (1+2 x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [15]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+2 x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [16]
\(\int \genfrac {}{}{}{}{x^2}{1+2 x+\sqrt {2+3 x+5 x^2}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{x}{1+2 x+\sqrt {2+3 x+5 x^2}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{1}{1+2 x+\sqrt {2+3 x+5 x^2}} \, dx\) [19]
\(\int \genfrac {}{}{}{}{1}{x (1+2 x+\sqrt {2+3 x+5 x^2})} \, dx\) [20]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+2 x+\sqrt {2+3 x+5 x^2})} \, dx\) [21]
\(\int \genfrac {}{}{}{}{x^2}{(1+2 x+\sqrt {2+3 x+5 x^2})^2} \, dx\) [22]
\(\int \genfrac {}{}{}{}{x}{(1+2 x+\sqrt {2+3 x+5 x^2})^2} \, dx\) [23]
\(\int \genfrac {}{}{}{}{1}{(1+2 x+\sqrt {2+3 x+5 x^2})^2} \, dx\) [24]
\(\int \genfrac {}{}{}{}{1}{x (1+2 x+\sqrt {2+3 x+5 x^2})^2} \, dx\) [25]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+2 x+\sqrt {2+3 x+5 x^2})^2} \, dx\) [26]
\(\int \genfrac {}{}{}{}{x^2}{(1+2 x+\sqrt {2+3 x+5 x^2})^3} \, dx\) [27]
\(\int \genfrac {}{}{}{}{x}{(1+2 x+\sqrt {2+3 x+5 x^2})^3} \, dx\) [28]
\(\int \genfrac {}{}{}{}{1}{(1+2 x+\sqrt {2+3 x+5 x^2})^3} \, dx\) [29]
\(\int \genfrac {}{}{}{}{1}{x (1+2 x+\sqrt {2+3 x+5 x^2})^3} \, dx\) [30]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+2 x+\sqrt {2+3 x+5 x^2})^3} \, dx\) [31]
\(\int \genfrac {}{}{}{}{x^2}{1+3 x+\sqrt {-3-2 x+4 x^2}} \, dx\) [32]
\(\int \genfrac {}{}{}{}{x}{1+3 x+\sqrt {-3-2 x+4 x^2}} \, dx\) [33]
\(\int \genfrac {}{}{}{}{1}{1+3 x+\sqrt {-3-2 x+4 x^2}} \, dx\) [34]
\(\int \genfrac {}{}{}{}{1}{x (1+3 x+\sqrt {-3-2 x+4 x^2})} \, dx\) [35]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+3 x+\sqrt {-3-2 x+4 x^2})} \, dx\) [36]
\(\int \genfrac {}{}{}{}{x^2}{(1+3 x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [37]
\(\int \genfrac {}{}{}{}{x}{(1+3 x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [38]
\(\int \genfrac {}{}{}{}{1}{(1+3 x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [39]
\(\int \genfrac {}{}{}{}{1}{x (1+3 x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [40]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+3 x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [41]
\(\int \genfrac {}{}{}{}{x^2}{(1+3 x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [42]
\(\int \genfrac {}{}{}{}{x}{(1+3 x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [43]
\(\int \genfrac {}{}{}{}{1}{(1+3 x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [44]
\(\int \genfrac {}{}{}{}{1}{x (1+3 x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [45]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+3 x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [46]
\(\int \genfrac {}{}{}{}{x^2}{1+2 x+\sqrt {-2+8 x-5 x^2}} \, dx\) [47]
\(\int \genfrac {}{}{}{}{x}{1+2 x+\sqrt {-2+8 x-5 x^2}} \, dx\) [48]
\(\int \genfrac {}{}{}{}{1}{1+2 x+\sqrt {-2+8 x-5 x^2}} \, dx\) [49]
\(\int \genfrac {}{}{}{}{1}{x (1+2 x+\sqrt {-2+8 x-5 x^2})} \, dx\) [50]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+2 x+\sqrt {-2+8 x-5 x^2})} \, dx\) [51]
\(\int \genfrac {}{}{}{}{x^2}{(1+2 x+\sqrt {-2+8 x-5 x^2})^2} \, dx\) [52]
\(\int \genfrac {}{}{}{}{x}{(1+2 x+\sqrt {-2+8 x-5 x^2})^2} \, dx\) [53]
\(\int \genfrac {}{}{}{}{1}{(1+2 x+\sqrt {-2+8 x-5 x^2})^2} \, dx\) [54]
\(\int \genfrac {}{}{}{}{1}{x (1+2 x+\sqrt {-2+8 x-5 x^2})^2} \, dx\) [55]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+2 x+\sqrt {-2+8 x-5 x^2})^2} \, dx\) [56]
\(\int \genfrac {}{}{}{}{x^2}{(1+2 x+\sqrt {-2+8 x-5 x^2})^3} \, dx\) [57]
\(\int \genfrac {}{}{}{}{x}{(1+2 x+\sqrt {-2+8 x-5 x^2})^3} \, dx\) [58]
\(\int \genfrac {}{}{}{}{1}{(1+2 x+\sqrt {-2+8 x-5 x^2})^3} \, dx\) [59]
\(\int \genfrac {}{}{}{}{1}{x (1+2 x+\sqrt {-2+8 x-5 x^2})^3} \, dx\) [60]
\(\int \genfrac {}{}{}{}{1}{x^2 (1+2 x+\sqrt {-2+8 x-5 x^2})^3} \, dx\) [61]
\(\int x \sqrt {1+x+\sqrt {1+2 x+2 x^2}} \, dx\) [62]