3.1.1 \(\int x^3 \tan (a+b x) \, dx\) [1]
3.1.2 \(\int x^2 \tan (a+b x) \, dx\) [2]
3.1.3 \(\int x \tan (a+b x) \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{\tan (a+b x)}{x} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{\tan (a+b x)}{x^2} \, dx\) [5]
3.1.6 \(\int x^3 \tan ^2(a+b x) \, dx\) [6]
3.1.7 \(\int x^2 \tan ^2(a+b x) \, dx\) [7]
3.1.8 \(\int x \tan ^2(a+b x) \, dx\) [8]
3.1.9 \(\int \genfrac {}{}{}{}{\tan ^2(a+b x)}{x} \, dx\) [9]
3.1.10 \(\int \genfrac {}{}{}{}{\tan ^2(a+b x)}{x^2} \, dx\) [10]
3.1.11 \(\int x^3 \tan ^3(a+b x) \, dx\) [11]
3.1.12 \(\int x^2 \tan ^3(a+b x) \, dx\) [12]
3.1.13 \(\int x \tan ^3(a+b x) \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{\tan ^3(a+b x)}{x} \, dx\) [14]
3.1.15 \(\int \genfrac {}{}{}{}{\tan ^3(a+b x)}{x^2} \, dx\) [15]
3.1.16 \(\int (\genfrac {}{}{}{}{x^2}{\tan ^{\genfrac {}{}{}{}{3}{2}}(a+b x)}-\genfrac {}{}{}{}{4 x}{b \sqrt {\tan (a+b x)}}+x^2 \sqrt {\tan (a+b x)}) \, dx\) [16]
3.1.17 \(\int (\genfrac {}{}{}{}{x^2}{\sqrt {\tan (a+b x^2)}}+\genfrac {}{}{}{}{\sqrt {\tan (a+b x^2)}}{b}+x^2 \tan ^{\genfrac {}{}{}{}{3}{2}}(a+b x^2)) \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{(c+d x)^3}{a+i a \tan (e+f x)} \, dx\) [18]
3.1.19 \(\int \genfrac {}{}{}{}{(c+d x)^2}{a+i a \tan (e+f x)} \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{c+d x}{a+i a \tan (e+f x)} \, dx\) [20]
3.1.21 \(\int \genfrac {}{}{}{}{1}{(c+d x) (a+i a \tan (e+f x))} \, dx\) [21]
3.1.22 \(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+i a \tan (e+f x))} \, dx\) [22]
3.1.23 \(\int \genfrac {}{}{}{}{1}{(c+d x)^3 (a+i a \tan (e+f x))} \, dx\) [23]
3.1.24 \(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+i a \tan (e+f x))^2} \, dx\) [24]
3.1.25 \(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+i a \tan (e+f x))^2} \, dx\) [25]
3.1.26 \(\int \genfrac {}{}{}{}{c+d x}{(a+i a \tan (e+f x))^2} \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{1}{(c+d x) (a+i a \tan (e+f x))^2} \, dx\) [27]
3.1.28 \(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+i a \tan (e+f x))^2} \, dx\) [28]
3.1.29 \(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+i a \tan (e+f x))^3} \, dx\) [29]
3.1.30 \(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+i a \tan (e+f x))^3} \, dx\) [30]
3.1.31 \(\int \genfrac {}{}{}{}{c+d x}{(a+i a \tan (e+f x))^3} \, dx\) [31]
3.1.32 \(\int \genfrac {}{}{}{}{1}{(c+d x) (a+i a \tan (e+f x))^3} \, dx\) [32]
3.1.33 \(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+i a \tan (e+f x))^3} \, dx\) [33]
3.1.34 \(\int (c+d x)^m (a+i a \tan (e+f x))^2 \, dx\) [34]
3.1.35 \(\int (c+d x)^m (a+i a \tan (e+f x)) \, dx\) [35]
3.1.36 \(\int \genfrac {}{}{}{}{(c+d x)^m}{a+i a \tan (e+f x)} \, dx\) [36]
3.1.37 \(\int \genfrac {}{}{}{}{(c+d x)^m}{(a+i a \tan (e+f x))^2} \, dx\) [37]
3.1.38 \(\int \genfrac {}{}{}{}{(c+d x)^m}{(a+i a \tan (e+f x))^3} \, dx\) [38]
3.1.39 \(\int (c+d x)^3 (a+b \tan (e+f x)) \, dx\) [39]
3.1.40 \(\int (c+d x)^2 (a+b \tan (e+f x)) \, dx\) [40]
3.1.41 \(\int (c+d x) (a+b \tan (e+f x)) \, dx\) [41]
3.1.42 \(\int \genfrac {}{}{}{}{a+b \tan (e+f x)}{c+d x} \, dx\) [42]
3.1.43 \(\int \genfrac {}{}{}{}{a+b \tan (e+f x)}{(c+d x)^2} \, dx\) [43]
3.1.44 \(\int (c+d x)^3 (a+b \tan (e+f x))^2 \, dx\) [44]
3.1.45 \(\int (c+d x)^2 (a+b \tan (e+f x))^2 \, dx\) [45]
3.1.46 \(\int (c+d x) (a+b \tan (e+f x))^2 \, dx\) [46]
3.1.47 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^2}{c+d x} \, dx\) [47]
3.1.48 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^2}{(c+d x)^2} \, dx\) [48]
3.1.49 \(\int (c+d x)^3 (a+b \tan (e+f x))^3 \, dx\) [49]
3.1.50 \(\int (c+d x)^2 (a+b \tan (e+f x))^3 \, dx\) [50]
3.1.51 \(\int (c+d x) (a+b \tan (e+f x))^3 \, dx\) [51]
3.1.52 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{c+d x} \, dx\) [52]
3.1.53 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{(c+d x)^2} \, dx\) [53]
3.1.54 \(\int \genfrac {}{}{}{}{(c+d x)^3}{a+b \tan (e+f x)} \, dx\) [54]
3.1.55 \(\int \genfrac {}{}{}{}{(c+d x)^2}{a+b \tan (e+f x)} \, dx\) [55]
3.1.56 \(\int \genfrac {}{}{}{}{c+d x}{a+b \tan (e+f x)} \, dx\) [56]
3.1.57 \(\int \genfrac {}{}{}{}{1}{(c+d x) (a+b \tan (e+f x))} \, dx\) [57]
3.1.58 \(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+b \tan (e+f x))} \, dx\) [58]
3.1.59 \(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+b \tan (e+f x))^2} \, dx\) [59]
3.1.60 \(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+b \tan (e+f x))^2} \, dx\) [60]
3.1.61 \(\int \genfrac {}{}{}{}{c+d x}{(a+b \tan (e+f x))^2} \, dx\) [61]
3.1.62 \(\int \genfrac {}{}{}{}{1}{(c+d x) (a+b \tan (e+f x))^2} \, dx\) [62]
3.1.63 \(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+b \tan (e+f x))^2} \, dx\) [63]