3.1 Integrals 1 to 50

\(\int (x+\sqrt {-3-2 x+x^2})^3 \, dx\) [1]
\(\int (x+\sqrt {-3-2 x+x^2})^2 \, dx\) [2]
\(\int (x+\sqrt {-3-2 x+x^2}) \, dx\) [3]
\(\int \genfrac {}{}{}{}{1}{x+\sqrt {-3-2 x+x^2}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-2 x+x^2})^2} \, dx\) [5]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-2 x+x^2})^3} \, dx\) [6]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^3 \, dx\) [7]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^2 \, dx\) [8]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}}) \, dx\) [9]
\(\int \genfrac {}{}{}{}{1}{d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^2} \, dx\) [11]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^3} \, dx\) [12]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{5/2} \, dx\) [13]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{3/2} \, dx\) [14]
\(\int \sqrt {d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}}}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{3/2}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^{5/2}} \, dx\) [18]
\(\int (d+e x+f \sqrt {a+b x+\genfrac {}{}{}{}{e^2 x^2}{f^2}})^p \, dx\) [19]
\(\int (x+\sqrt {3-2 x-x^2})^2 \, dx\) [20]
\(\int (x+\sqrt {3-2 x-x^2}) \, dx\) [21]
\(\int \genfrac {}{}{}{}{1}{x+\sqrt {3-2 x-x^2}} \, dx\) [22]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {3-2 x-x^2})^2} \, dx\) [23]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {3-2 x-x^2})^3} \, dx\) [24]
\(\int (d+e x+f \sqrt {a+b x+c x^2})^2 \, dx\) [25]
\(\int (d+e x+f \sqrt {a+b x+c x^2}) \, dx\) [26]
\(\int \genfrac {}{}{}{}{1}{d+e x+f \sqrt {a+b x+c x^2}} \, dx\) [27]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+b x+c x^2})^2} \, dx\) [28]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {a+b x+c x^2})^3} \, dx\) [29]
\(\int (x+\sqrt {-3-2 x+4 x^2})^3 \, dx\) [30]
\(\int (x+\sqrt {-3-2 x+4 x^2})^2 \, dx\) [31]
\(\int (x+\sqrt {-3-2 x+4 x^2}) \, dx\) [32]
\(\int \genfrac {}{}{}{}{1}{x+\sqrt {-3-2 x+4 x^2}} \, dx\) [33]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-2 x+4 x^2})^2} \, dx\) [34]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-2 x+4 x^2})^3} \, dx\) [35]
\(\int (d+e x+f \sqrt {-a+b x+c x^2})^2 \, dx\) [36]
\(\int (d+e x+f \sqrt {-a+b x+c x^2}) \, dx\) [37]
\(\int \genfrac {}{}{}{}{1}{d+e x+f \sqrt {-a+b x+c x^2}} \, dx\) [38]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {-a+b x+c x^2})^2} \, dx\) [39]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {-a+b x+c x^2})^3} \, dx\) [40]
\(\int (x+\sqrt {-3-4 x-x^2})^2 \, dx\) [41]
\(\int (x+\sqrt {-3-4 x-x^2}) \, dx\) [42]
\(\int \genfrac {}{}{}{}{1}{x+\sqrt {-3-4 x-x^2}} \, dx\) [43]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-4 x-x^2})^2} \, dx\) [44]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-4 x-x^2})^3} \, dx\) [45]
\(\int (d+e x+f \sqrt {-a+b x-c x^2})^2 \, dx\) [46]
\(\int (d+e x+f \sqrt {-a+b x-c x^2}) \, dx\) [47]
\(\int \genfrac {}{}{}{}{1}{d+e x+f \sqrt {-a+b x-c x^2}} \, dx\) [48]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {-a+b x-c x^2})^2} \, dx\) [49]
\(\int \genfrac {}{}{}{}{1}{(d+e x+f \sqrt {-a+b x-c x^2})^3} \, dx\) [50]