3.1 Integrals 1 to 61
\(\int x^5 \cot ^{-1}(a x) \, dx\) [1]
\(\int x^4 \cot ^{-1}(a x) \, dx\) [2]
\(\int x^3 \cot ^{-1}(a x) \, dx\) [3]
\(\int x^2 \cot ^{-1}(a x) \, dx\) [4]
\(\int x \cot ^{-1}(a x) \, dx\) [5]
\(\int \cot ^{-1}(a x) \, dx\) [6]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{x} \, dx\) [7]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{x^2} \, dx\) [8]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{x^3} \, dx\) [9]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{x^4} \, dx\) [10]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)}{x^5} \, dx\) [11]
\(\int x^5 \cot ^{-1}(a x)^2 \, dx\) [12]
\(\int x^4 \cot ^{-1}(a x)^2 \, dx\) [13]
\(\int x^3 \cot ^{-1}(a x)^2 \, dx\) [14]
\(\int x^2 \cot ^{-1}(a x)^2 \, dx\) [15]
\(\int x \cot ^{-1}(a x)^2 \, dx\) [16]
\(\int \cot ^{-1}(a x)^2 \, dx\) [17]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)^2}{x} \, dx\) [18]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)^2}{x^2} \, dx\) [19]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)^2}{x^3} \, dx\) [20]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)^2}{x^4} \, dx\) [21]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)^2}{x^5} \, dx\) [22]
\(\int x^5 \cot ^{-1}(a x)^3 \, dx\) [23]
\(\int x^4 \cot ^{-1}(a x)^3 \, dx\) [24]
\(\int x^3 \cot ^{-1}(a x)^3 \, dx\) [25]
\(\int x^2 \cot ^{-1}(a x)^3 \, dx\) [26]
\(\int x \cot ^{-1}(a x)^3 \, dx\) [27]
\(\int \cot ^{-1}(a x)^3 \, dx\) [28]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)^3}{x} \, dx\) [29]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)^3}{x^2} \, dx\) [30]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)^3}{x^3} \, dx\) [31]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)^3}{x^4} \, dx\) [32]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x)^3}{x^5} \, dx\) [33]
\(\int x^m \cot ^{-1}(a x)^3 \, dx\) [34]
\(\int x^m \cot ^{-1}(a x)^2 \, dx\) [35]
\(\int x^m \cot ^{-1}(a x) \, dx\) [36]
\(\int x^5 \cot ^{-1}(a x^2) \, dx\) [37]
\(\int x^3 \cot ^{-1}(a x^2) \, dx\) [38]
\(\int x \cot ^{-1}(a x^2) \, dx\) [39]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x^2)}{x} \, dx\) [40]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x^2)}{x^3} \, dx\) [41]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x^2)}{x^5} \, dx\) [42]
\(\int x^4 \cot ^{-1}(a x^2) \, dx\) [43]
\(\int x^2 \cot ^{-1}(a x^2) \, dx\) [44]
\(\int \cot ^{-1}(a x^2) \, dx\) [45]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x^2)}{x^2} \, dx\) [46]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x^2)}{x^4} \, dx\) [47]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x^5)}{x} \, dx\) [48]
\(\int \cot ^{-1}(\genfrac {}{}{}{}{1}{x}) \, dx\) [49]
\(\int x^2 \cot ^{-1}(\sqrt {x}) \, dx\) [50]
\(\int x \cot ^{-1}(\sqrt {x}) \, dx\) [51]
\(\int \cot ^{-1}(\sqrt {x}) \, dx\) [52]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(\sqrt {x})}{x} \, dx\) [53]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(\sqrt {x})}{x^2} \, dx\) [54]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(\sqrt {x})}{x^3} \, dx\) [55]
\(\int x^{3/2} \cot ^{-1}(\sqrt {x}) \, dx\) [56]
\(\int \sqrt {x} \cot ^{-1}(\sqrt {x}) \, dx\) [57]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(\sqrt {x})}{\sqrt {x}} \, dx\) [58]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(\sqrt {x})}{x^{3/2}} \, dx\) [59]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(\sqrt {x})}{x^{5/2}} \, dx\) [60]
\(\int \genfrac {}{}{}{}{\cot ^{-1}(a x^n)}{x} \, dx\) [61]