3.1 Integrals 1 to 63

\(\int x^3 \tan (a+b x) \, dx\) [1]
\(\int x^2 \tan (a+b x) \, dx\) [2]
\(\int x \tan (a+b x) \, dx\) [3]
\(\int \genfrac {}{}{}{}{\tan (a+b x)}{x} \, dx\) [4]
\(\int \genfrac {}{}{}{}{\tan (a+b x)}{x^2} \, dx\) [5]
\(\int x^3 \tan ^2(a+b x) \, dx\) [6]
\(\int x^2 \tan ^2(a+b x) \, dx\) [7]
\(\int x \tan ^2(a+b x) \, dx\) [8]
\(\int \genfrac {}{}{}{}{\tan ^2(a+b x)}{x} \, dx\) [9]
\(\int \genfrac {}{}{}{}{\tan ^2(a+b x)}{x^2} \, dx\) [10]
\(\int x^3 \tan ^3(a+b x) \, dx\) [11]
\(\int x^2 \tan ^3(a+b x) \, dx\) [12]
\(\int x \tan ^3(a+b x) \, dx\) [13]
\(\int \genfrac {}{}{}{}{\tan ^3(a+b x)}{x} \, dx\) [14]
\(\int \genfrac {}{}{}{}{\tan ^3(a+b x)}{x^2} \, dx\) [15]
\(\int (\genfrac {}{}{}{}{x^2}{\tan ^{\genfrac {}{}{}{}{3}{2}}(a+b x)}-\genfrac {}{}{}{}{4 x}{b \sqrt {\tan (a+b x)}}+x^2 \sqrt {\tan (a+b x)}) \, dx\) [16]
\(\int (\genfrac {}{}{}{}{x^2}{\sqrt {\tan (a+b x^2)}}+\genfrac {}{}{}{}{\sqrt {\tan (a+b x^2)}}{b}+x^2 \tan ^{\genfrac {}{}{}{}{3}{2}}(a+b x^2)) \, dx\) [17]
\(\int \genfrac {}{}{}{}{(c+d x)^3}{a+i a \tan (e+f x)} \, dx\) [18]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{a+i a \tan (e+f x)} \, dx\) [19]
\(\int \genfrac {}{}{}{}{c+d x}{a+i a \tan (e+f x)} \, dx\) [20]
\(\int \genfrac {}{}{}{}{1}{(c+d x) (a+i a \tan (e+f x))} \, dx\) [21]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+i a \tan (e+f x))} \, dx\) [22]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^3 (a+i a \tan (e+f x))} \, dx\) [23]
\(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+i a \tan (e+f x))^2} \, dx\) [24]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+i a \tan (e+f x))^2} \, dx\) [25]
\(\int \genfrac {}{}{}{}{c+d x}{(a+i a \tan (e+f x))^2} \, dx\) [26]
\(\int \genfrac {}{}{}{}{1}{(c+d x) (a+i a \tan (e+f x))^2} \, dx\) [27]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+i a \tan (e+f x))^2} \, dx\) [28]
\(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+i a \tan (e+f x))^3} \, dx\) [29]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+i a \tan (e+f x))^3} \, dx\) [30]
\(\int \genfrac {}{}{}{}{c+d x}{(a+i a \tan (e+f x))^3} \, dx\) [31]
\(\int \genfrac {}{}{}{}{1}{(c+d x) (a+i a \tan (e+f x))^3} \, dx\) [32]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+i a \tan (e+f x))^3} \, dx\) [33]
\(\int (c+d x)^m (a+i a \tan (e+f x))^2 \, dx\) [34]
\(\int (c+d x)^m (a+i a \tan (e+f x)) \, dx\) [35]
\(\int \genfrac {}{}{}{}{(c+d x)^m}{a+i a \tan (e+f x)} \, dx\) [36]
\(\int \genfrac {}{}{}{}{(c+d x)^m}{(a+i a \tan (e+f x))^2} \, dx\) [37]
\(\int \genfrac {}{}{}{}{(c+d x)^m}{(a+i a \tan (e+f x))^3} \, dx\) [38]
\(\int (c+d x)^3 (a+b \tan (e+f x)) \, dx\) [39]
\(\int (c+d x)^2 (a+b \tan (e+f x)) \, dx\) [40]
\(\int (c+d x) (a+b \tan (e+f x)) \, dx\) [41]
\(\int \genfrac {}{}{}{}{a+b \tan (e+f x)}{c+d x} \, dx\) [42]
\(\int \genfrac {}{}{}{}{a+b \tan (e+f x)}{(c+d x)^2} \, dx\) [43]
\(\int (c+d x)^3 (a+b \tan (e+f x))^2 \, dx\) [44]
\(\int (c+d x)^2 (a+b \tan (e+f x))^2 \, dx\) [45]
\(\int (c+d x) (a+b \tan (e+f x))^2 \, dx\) [46]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^2}{c+d x} \, dx\) [47]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^2}{(c+d x)^2} \, dx\) [48]
\(\int (c+d x)^3 (a+b \tan (e+f x))^3 \, dx\) [49]
\(\int (c+d x)^2 (a+b \tan (e+f x))^3 \, dx\) [50]
\(\int (c+d x) (a+b \tan (e+f x))^3 \, dx\) [51]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{c+d x} \, dx\) [52]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{(c+d x)^2} \, dx\) [53]
\(\int \genfrac {}{}{}{}{(c+d x)^3}{a+b \tan (e+f x)} \, dx\) [54]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{a+b \tan (e+f x)} \, dx\) [55]
\(\int \genfrac {}{}{}{}{c+d x}{a+b \tan (e+f x)} \, dx\) [56]
\(\int \genfrac {}{}{}{}{1}{(c+d x) (a+b \tan (e+f x))} \, dx\) [57]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+b \tan (e+f x))} \, dx\) [58]
\(\int \genfrac {}{}{}{}{(c+d x)^3}{(a+b \tan (e+f x))^2} \, dx\) [59]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+b \tan (e+f x))^2} \, dx\) [60]
\(\int \genfrac {}{}{}{}{c+d x}{(a+b \tan (e+f x))^2} \, dx\) [61]
\(\int \genfrac {}{}{}{}{1}{(c+d x) (a+b \tan (e+f x))^2} \, dx\) [62]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^2 (a+b \tan (e+f x))^2} \, dx\) [63]