3.1 Integrals 1 to 22

\(\int \genfrac {}{}{}{}{\tan ^4(x)}{a+a \cos (x)} \, dx\) [1]
\(\int \genfrac {}{}{}{}{\tan ^3(x)}{a+a \cos (x)} \, dx\) [2]
\(\int \genfrac {}{}{}{}{\tan ^2(x)}{a+a \cos (x)} \, dx\) [3]
\(\int \genfrac {}{}{}{}{\tan (x)}{a+a \cos (x)} \, dx\) [4]
\(\int \genfrac {}{}{}{}{\cot (x)}{a+a \cos (x)} \, dx\) [5]
\(\int \genfrac {}{}{}{}{\cot ^2(x)}{a+a \cos (x)} \, dx\) [6]
\(\int \genfrac {}{}{}{}{\cot ^3(x)}{a+a \cos (x)} \, dx\) [7]
\(\int \genfrac {}{}{}{}{\cot ^4(x)}{a+a \cos (x)} \, dx\) [8]
\(\int \genfrac {}{}{}{}{\tan (3 x)}{(1+\cos (3 x))^2} \, dx\) [9]
\(\int \genfrac {}{}{}{}{\tan ^4(x)}{a+b \cos (x)} \, dx\) [10]
\(\int \genfrac {}{}{}{}{\tan ^3(x)}{a+b \cos (x)} \, dx\) [11]
\(\int \genfrac {}{}{}{}{\tan ^2(x)}{a+b \cos (x)} \, dx\) [12]
\(\int \genfrac {}{}{}{}{\tan (x)}{a+b \cos (x)} \, dx\) [13]
\(\int \genfrac {}{}{}{}{\cot (x)}{a+b \cos (x)} \, dx\) [14]
\(\int \genfrac {}{}{}{}{\cot ^2(x)}{a+b \cos (x)} \, dx\) [15]
\(\int \genfrac {}{}{}{}{\cot ^3(x)}{a+b \cos (x)} \, dx\) [16]
\(\int \genfrac {}{}{}{}{\cot ^4(x)}{a+b \cos (x)} \, dx\) [17]
\(\int \genfrac {}{}{}{}{\cot (x)}{\sqrt {3-\cos (x)}} \, dx\) [18]
\(\int \sqrt {a+b \cos (x)} \tan (x) \, dx\) [19]
\(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {a+b \cos (x)}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{\sqrt {e \tan (c+d x)}}{a+b \cos (c+d x)} \, dx\) [21]
\(\int (a+b \cos (e+f x))^m (g \tan (e+f x))^p \, dx\) [22]