3.1 Integrals 1 to 21

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