3.1 Integrals 1 to 31

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