3.1 Integrals 1 to 20
\(\int e^{\cot ^{-1}(x)} \, dx\) [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]
\(\int e^{c+4 i \cot ^{-1}(a+b x)} \, dx\) [13]
\(\int e^{c+2 i \cot ^{-1}(a+b x)} \, dx\) [14]
\(\int e^{c-2 i \cot ^{-1}(a+b x)} \, dx\) [15]
\(\int e^{c-4 i \cot ^{-1}(a+b x)} \, dx\) [16]
\(\int e^{c+3 i \cot ^{-1}(a+b x)} \, dx\) [17]
\(\int e^{c+i \cot ^{-1}(a+b x)} \, dx\) [18]
\(\int e^{c-i \cot ^{-1}(a+b x)} \, dx\) [19]
\(\int e^{c-3 i \cot ^{-1}(a+b x)} \, dx\) [20]