\(\int \tan ^5(d+e x) \sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)} \, dx\) [1]
   \(\int \tan ^4(d+e x) \sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)} \, dx\) [2]
   \(\int \tan ^3(d+e x) \sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)} \, dx\) [3]
   \(\int \tan ^2(d+e x) \sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)} \, dx\) [4]
   \(\int \tan (d+e x) \sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)} \, dx\) [5]
   \(\int \sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)} \, dx\) [6]
   \(\int \cot (d+e x) \sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)} \, dx\) [7]
   \(\int \cot ^2(d+e x) \sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)} \, dx\) [8]
   \(\int \cot ^3(d+e x) \sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)} \, dx\) [9]
   \(\int \genfrac {}{}{}{}{\tan ^5(d+e x)}{\sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)}} \, dx\) [10]
   \(\int \genfrac {}{}{}{}{\tan ^4(d+e x)}{\sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)}} \, dx\) [11]
   \(\int \genfrac {}{}{}{}{\tan ^3(d+e x)}{\sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)}} \, dx\) [12]
   \(\int \genfrac {}{}{}{}{\tan ^2(d+e x)}{\sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)}} \, dx\) [13]
   \(\int \genfrac {}{}{}{}{\tan (d+e x)}{\sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)}} \, dx\) [14]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)}} \, dx\) [15]
   \(\int \genfrac {}{}{}{}{\cot (d+e x)}{\sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)}} \, dx\) [16]
   \(\int \genfrac {}{}{}{}{\cot ^2(d+e x)}{\sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)}} \, dx\) [17]
   \(\int \genfrac {}{}{}{}{\cot ^3(d+e x)}{\sqrt {a+b \tan (d+e x)+c \tan ^2(d+e x)}} \, dx\) [18]
   \(\int \genfrac {}{}{}{}{\tan ^7(d+e x)}{(a+b \tan (d+e x)+c \tan ^2(d+e x))^{3/2}} \, dx\) [19]
   \(\int \genfrac {}{}{}{}{\tan ^5(d+e x)}{(a+b \tan (d+e x)+c \tan ^2(d+e x))^{3/2}} \, dx\) [20]
   \(\int \genfrac {}{}{}{}{\tan ^3(d+e x)}{(a+b \tan (d+e x)+c \tan ^2(d+e x))^{3/2}} \, dx\) [21]
   \(\int \genfrac {}{}{}{}{\tan ^2(d+e x)}{(a+b \tan (d+e x)+c \tan ^2(d+e x))^{3/2}} \, dx\) [22]
   \(\int \genfrac {}{}{}{}{\tan (d+e x)}{(a+b \tan (d+e x)+c \tan ^2(d+e x))^{3/2}} \, dx\) [23]
   \(\int \genfrac {}{}{}{}{\cot (d+e x)}{(a+b \tan (d+e x)+c \tan ^2(d+e x))^{3/2}} \, dx\) [24]
   \(\int \genfrac {}{}{}{}{\cot ^2(d+e x)}{(a+b \tan (d+e x)+c \tan ^2(d+e x))^{3/2}} \, dx\) [25]
   \(\int \genfrac {}{}{}{}{\cot ^3(d+e x)}{(a+b \tan (d+e x)+c \tan ^2(d+e x))^{3/2}} \, dx\) [26]
   \(\int \tan ^5(d+e x) \sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)} \, dx\) [27]
   \(\int \tan ^3(d+e x) \sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)} \, dx\) [28]
   \(\int \tan (d+e x) \sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)} \, dx\) [29]
   \(\int \cot (d+e x) \sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)} \, dx\) [30]
   \(\int \cot ^3(d+e x) \sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)} \, dx\) [31]
   \(\int \tan ^2(d+e x) \sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)} \, dx\) [32]
   \(\int \sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)} \, dx\) [33]
   \(\int \cot ^2(d+e x) \sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)} \, dx\) [34]
   \(\int \cot ^4(d+e x) \sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)} \, dx\) [35]
   \(\int \genfrac {}{}{}{}{\tan ^5(d+e x)}{\sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)}} \, dx\) [36]
   \(\int \genfrac {}{}{}{}{\tan ^3(d+e x)}{\sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)}} \, dx\) [37]
   \(\int \genfrac {}{}{}{}{\tan (d+e x)}{\sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)}} \, dx\) [38]
   \(\int \genfrac {}{}{}{}{\cot (d+e x)}{\sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)}} \, dx\) [39]
   \(\int \genfrac {}{}{}{}{\cot ^3(d+e x)}{\sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)}} \, dx\) [40]
   \(\int \genfrac {}{}{}{}{\tan ^4(d+e x)}{\sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)}} \, dx\) [41]
   \(\int \genfrac {}{}{}{}{\tan ^2(d+e x)}{\sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)}} \, dx\) [42]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)}} \, dx\) [43]
   \(\int \genfrac {}{}{}{}{\cot ^2(d+e x)}{\sqrt {a+b \tan ^2(d+e x)+c \tan ^4(d+e x)}} \, dx\) [44]
   \(\int \genfrac {}{}{}{}{\tan ^7(d+e x)}{(a+b \tan ^2(d+e x)+c \tan ^4(d+e x))^{3/2}} \, dx\) [45]
   \(\int \genfrac {}{}{}{}{\tan ^5(d+e x)}{(a+b \tan ^2(d+e x)+c \tan ^4(d+e x))^{3/2}} \, dx\) [46]
   \(\int \genfrac {}{}{}{}{\tan ^3(d+e x)}{(a+b \tan ^2(d+e x)+c \tan ^4(d+e x))^{3/2}} \, dx\) [47]
   \(\int \genfrac {}{}{}{}{\tan (d+e x)}{(a+b \tan ^2(d+e x)+c \tan ^4(d+e x))^{3/2}} \, dx\) [48]
   \(\int \genfrac {}{}{}{}{\cot (d+e x)}{(a+b \tan ^2(d+e x)+c \tan ^4(d+e x))^{3/2}} \, dx\) [49]
   \(\int \genfrac {}{}{}{}{\cot ^3(d+e x)}{(a+b \tan ^2(d+e x)+c \tan ^4(d+e x))^{3/2}} \, dx\) [50]
   \(\int \genfrac {}{}{}{}{\tan ^2(d+e x)}{(a+b \tan ^2(d+e x)+c \tan ^4(d+e x))^{3/2}} \, dx\) [51]