\(\int e^{\cot ^{-1}(x)} \, dx\) [1]
   \(\int \genfrac {}{}{}{}{e^{\cot ^{-1}(x)}}{a+a x^2} \, dx\) [2]
   \(\int \genfrac {}{}{}{}{e^{\cot ^{-1}(x)}}{(a+a x^2)^2} \, dx\) [3]
   \(\int \genfrac {}{}{}{}{e^{\cot ^{-1}(x)}}{(a+a x^2)^3} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{e^{\cot ^{-1}(x)}}{(a+a x^2)^{3/2}} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{e^{\cot ^{-1}(x)}}{(a+a x^2)^{5/2}} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{e^{\cot ^{-1}(x)}}{(a+a x^2)^{7/2}} \, dx\) [7]
   \(\int \genfrac {}{}{}{}{e^{n \cot ^{-1}(a x)}}{\sqrt [3]{c+a^2 c x^2}} \, dx\) [8]
   \(\int \genfrac {}{}{}{}{e^{n \cot ^{-1}(a x)}}{(c+a^2 c x^2)^{2/3}} \, dx\) [9]
   \(\int \genfrac {}{}{}{}{e^{n \cot ^{-1}(a x)}}{(c+a^2 c x^2)^{4/3}} \, dx\) [10]
   \(\int \genfrac {}{}{}{}{e^{n \cot ^{-1}(a x)}}{(c+a^2 c x^2)^{5/3}} \, dx\) [11]
   \(\int \genfrac {}{}{}{}{e^{n \cot ^{-1}(a x)}}{(c+a^2 c x^2)^{7/3}} \, dx\) [12]