\(\int (c+d x^2)^4 \cot ^{-1}(a x) \, dx\) [1]
\(\int (c+d x^2)^3 \cot ^{-1}(a x) \, dx\) [2]
\(\int (c+d x^2)^2 \cot ^{-1}(a x) \, dx\) [3]
\(\int (c+d x^2) \cot ^{-1}(a x) \, dx\) [4]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{c+d x^2} \, dx\) [5]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{(c+d x^2)^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)}{(1+x^2)^2} \, dx\) [7]
\(\int \sqrt {a+a x^2} \cot ^{-1}(x) \, dx\) [8]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)}{\sqrt {a+a x^2}} \, dx\) [9]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)}{(a+a x^2)^{3/2}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)}{(a+a x^2)^{5/2}} \, dx\) [11]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)}{(a+a x^2)^{7/2}} \, dx\) [12]
\(\int \sqrt {c+d x^2} \cot ^{-1}(a x) \, dx\) [13]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{\sqrt {c+d x^2}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{(c+d x^2)^{3/2}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{(c+d x^2)^{5/2}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{(c+d x^2)^{7/2}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{(c+d x^2)^{9/2}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{1}{(1+x^2) \cot ^{-1}(x)} \, dx\) [19]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)^2}{(1+x^2)^2} \, dx\) [20]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)^n}{1+x^2} \, dx\) [21]
\(\int \genfrac {}{}{}{}{x^4 \cot ^{-1}(x)}{1+x^2} \, dx\) [22]
\(\int \genfrac {}{}{}{}{x^3 \cot ^{-1}(x)}{1+x^2} \, dx\) [23]
\(\int \genfrac {}{}{}{}{x^2 \cot ^{-1}(x)}{1+x^2} \, dx\) [24]
\(\int \genfrac {}{}{}{}{x \cot ^{-1}(x)}{1+x^2} \, dx\) [25]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)}{1+x^2} \, dx\) [26]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)}{x (1+x^2)} \, dx\) [27]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)}{x^2 (1+x^2)} \, dx\) [28]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)}{x^3 (1+x^2)} \, dx\) [29]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(x)}{x^4 (1+x^2)} \, dx\) [30]
\(\int \genfrac {}{}{}{}{x^2 \cot ^{-1}(c x)}{1+x^2} \, dx\) [31]
\(\int \genfrac {}{}{}{}{x \cot ^{-1}(c x)}{1+x^2} \, dx\) [32]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(c x)}{1+x^2} \, dx\) [33]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(c x)}{x (1+x^2)} \, dx\) [34]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(c x)}{x^2 (1+x^2)} \, dx\) [35]
\(\int \genfrac {}{}{}{}{x \cot ^{-1}(x)}{(1+x^2)^2} \, dx\) [36]
\(\int \genfrac {}{}{}{}{x \cot ^{-1}(x)}{(1+x^2)^3} \, dx\) [37]