3.1 Integrals 1 to 15
\(\int \genfrac {}{}{}{}{1+x}{x \sqrt [3]{-1+x^3}} \, dx\) [1]
\(\int \genfrac {}{}{}{}{-1+x^2}{x (-1+x^3)^{2/3}} \, dx\) [2]
\(\int \genfrac {}{}{}{}{(1+x) \sqrt [3]{-1+x^3}}{(-1+x)^2 x} \, dx\) [3]
\(\int \genfrac {}{}{}{}{(-1+x)^2 (1+x)}{x (1+x+x^2) \sqrt [3]{-1+x^3}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{(1+x) (-1+x^3)^{2/3}}{(-1+x)^3 x} \, dx\) [5]
\(\int \genfrac {}{}{}{}{x (-2+x^3)}{\sqrt [3]{-1+x^3} (-1+x^3+x^6)} \, dx\) [6]
\(\int \genfrac {}{}{}{}{x^3 (2+x^3)}{(1+x^3)^{2/3} (1+x^3+x^6)} \, dx\) [7]
\(\int \genfrac {}{}{}{}{\sqrt [3]{1-x^3} (-2+x^3)}{x^3 (-1+x^3+x^6)} \, dx\) [8]
\(\int \genfrac {}{}{}{}{(2+x+x^2) \sqrt [3]{-1+x^3}}{x (-1+x^2)^2 (-3-2 x+x^2+x^3)} \, dx\) [9]
\(\int \genfrac {}{}{}{}{1+3 x}{(-1+3 x) \sqrt [3]{-x+x^3}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{(-1+x) (1+3 x)}{(-1+3 x) (-x+x^3)^{2/3}} \, dx\) [11]
\(\int \genfrac {}{}{}{}{(-1+x)^2 (1+3 x)}{x (1+x) (-1+3 x) \sqrt [3]{-x+x^3}} \, dx\) [12]
\(\int \genfrac {}{}{}{}{x (1+x) (1+3 x)}{(-1+x) (-1+3 x) (-x+x^3)^{2/3}} \, dx\) [13]
\(\int \genfrac {}{}{}{}{x (1+x) (1+3 x)}{(-1+x)^2 (-1+3 x) \sqrt [3]{-x+x^3}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{3+8 x^3-3 x^6+x^9}{(-1+x^3)^{2/3} (-27+x^3-2 x^6+x^9)} \, dx\) [15]