3.1 Integrals 1 to 32

\(\int \genfrac {}{}{}{}{15-5 x+x^2+x^3}{(5+x^2) (3+2 x+x^2)} \, dx\) [1]
\(\int (1+4 x-7 x^2)^3 (2+5 x+x^2) \sqrt {3+2 x+5 x^2} \, dx\) [2]
\(\int (1+4 x-7 x^2)^2 (2+5 x+x^2) \sqrt {3+2 x+5 x^2} \, dx\) [3]
\(\int (1+4 x-7 x^2) (2+5 x+x^2) \sqrt {3+2 x+5 x^2} \, dx\) [4]
\(\int \genfrac {}{}{}{}{(2+5 x+x^2) \sqrt {3+2 x+5 x^2}}{1+4 x-7 x^2} \, dx\) [5]
\(\int \genfrac {}{}{}{}{(2+5 x+x^2) \sqrt {3+2 x+5 x^2}}{(1+4 x-7 x^2)^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{(2+5 x+x^2) \sqrt {3+2 x+5 x^2}}{(1+4 x-7 x^2)^3} \, dx\) [7]
\(\int (1+4 x-7 x^2)^3 (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\) [8]
\(\int (1+4 x-7 x^2)^2 (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\) [9]
\(\int (1+4 x-7 x^2) (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\) [10]
\(\int \genfrac {}{}{}{}{(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{1+4 x-7 x^2} \, dx\) [11]
\(\int \genfrac {}{}{}{}{(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{(1+4 x-7 x^2)^2} \, dx\) [12]
\(\int \genfrac {}{}{}{}{(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{(1+4 x-7 x^2)^3} \, dx\) [13]
\(\int \genfrac {}{}{}{}{(1+4 x-7 x^2)^3 (2+5 x+x^2)}{\sqrt {3+2 x+5 x^2}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{(1+4 x-7 x^2)^2 (2+5 x+x^2)}{\sqrt {3+2 x+5 x^2}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{(1+4 x-7 x^2) (2+5 x+x^2)}{\sqrt {3+2 x+5 x^2}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2) \sqrt {3+2 x+5 x^2}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2)^2 \sqrt {3+2 x+5 x^2}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2)^3 \sqrt {3+2 x+5 x^2}} \, dx\) [19]
\(\int \genfrac {}{}{}{}{(1+4 x-7 x^2)^3 (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{(1+4 x-7 x^2)^2 (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\) [21]
\(\int \genfrac {}{}{}{}{(1+4 x-7 x^2) (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\) [22]
\(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2) (3+2 x+5 x^2)^{3/2}} \, dx\) [23]
\(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2)^2 (3+2 x+5 x^2)^{3/2}} \, dx\) [24]
\(\int \genfrac {}{}{}{}{2+5 x+x^2}{(1+4 x-7 x^2)^3 (3+2 x+5 x^2)^{3/2}} \, dx\) [25]
\(\int (7+3 x-6 x^2)^q (1+5 x-2 x^2)^3 (3+2 x+4 x^2) \, dx\) [26]
\(\int (7+3 x-6 x^2)^q (1+5 x-2 x^2)^2 (3+2 x+4 x^2) \, dx\) [27]
\(\int (7+3 x-6 x^2)^q (1+5 x-2 x^2) (3+2 x+4 x^2) \, dx\) [28]
\(\int (7+3 x-6 x^2)^q (3+2 x+4 x^2) \, dx\) [29]
\(\int \genfrac {}{}{}{}{(7+3 x-6 x^2)^q (3+2 x+4 x^2)}{1+5 x-2 x^2} \, dx\) [30]
\(\int \genfrac {}{}{}{}{(7+3 x-6 x^2)^q (3+2 x+4 x^2)}{(1+5 x-2 x^2)^2} \, dx\) [31]
\(\int \genfrac {}{}{}{}{(7+3 x-6 x^2)^q (3+2 x+4 x^2)}{(1+5 x-2 x^2)^3} \, dx\) [32]