3.1 Integrals 1 to 22

3.1.1 \(\int \genfrac {}{}{}{}{\tan ^4(x)}{a+a \cos (x)} \, dx\) [1]
3.1.2 \(\int \genfrac {}{}{}{}{\tan ^3(x)}{a+a \cos (x)} \, dx\) [2]
3.1.3 \(\int \genfrac {}{}{}{}{\tan ^2(x)}{a+a \cos (x)} \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{\tan (x)}{a+a \cos (x)} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{\cot (x)}{a+a \cos (x)} \, dx\) [5]
3.1.6 \(\int \genfrac {}{}{}{}{\cot ^2(x)}{a+a \cos (x)} \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{\cot ^3(x)}{a+a \cos (x)} \, dx\) [7]
3.1.8 \(\int \genfrac {}{}{}{}{\cot ^4(x)}{a+a \cos (x)} \, dx\) [8]
3.1.9 \(\int \genfrac {}{}{}{}{\tan (3 x)}{(1+\cos (3 x))^2} \, dx\) [9]
3.1.10 \(\int \genfrac {}{}{}{}{\tan ^4(x)}{a+b \cos (x)} \, dx\) [10]
3.1.11 \(\int \genfrac {}{}{}{}{\tan ^3(x)}{a+b \cos (x)} \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{\tan ^2(x)}{a+b \cos (x)} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{\tan (x)}{a+b \cos (x)} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{\cot (x)}{a+b \cos (x)} \, dx\) [14]
3.1.15 \(\int \genfrac {}{}{}{}{\cot ^2(x)}{a+b \cos (x)} \, dx\) [15]
3.1.16 \(\int \genfrac {}{}{}{}{\cot ^3(x)}{a+b \cos (x)} \, dx\) [16]
3.1.17 \(\int \genfrac {}{}{}{}{\cot ^4(x)}{a+b \cos (x)} \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{\cot (x)}{\sqrt {3-\cos (x)}} \, dx\) [18]
3.1.19 \(\int \sqrt {a+b \cos (x)} \tan (x) \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {a+b \cos (x)}} \, dx\) [20]
3.1.21 \(\int \genfrac {}{}{}{}{\sqrt {e \tan (c+d x)}}{a+b \cos (c+d x)} \, dx\) [21]
3.1.22 \(\int (a+b \cos (e+f x))^m (g \tan (e+f x))^p \, dx\) [22]