Chapter 3
Listing of integrals

 3.1 \(\int \frac{\cot ^5(d+e x)}{\sqrt{a+b \cot (d+e x)+c \cot ^2(d+e x)}} \, dx\)
 3.2 \(\int \frac{\cot ^3(d+e x)}{\sqrt{a+b \cot (d+e x)+c \cot ^2(d+e x)}} \, dx\)
 3.3 \(\int \frac{\cot (d+e x)}{\sqrt{a+b \cot (d+e x)+c \cot ^2(d+e x)}} \, dx\)
 3.4 \(\int \frac{\tan (d+e x)}{\sqrt{a+b \cot (d+e x)+c \cot ^2(d+e x)}} \, dx\)
 3.5 \(\int \frac{\tan ^3(d+e x)}{\sqrt{a+b \cot (d+e x)+c \cot ^2(d+e x)}} \, dx\)
 3.6 \(\int \cot ^5(d+e x) \sqrt{a+b \cot (d+e x)+c \cot ^2(d+e x)} \, dx\)
 3.7 \(\int \cot ^3(d+e x) \sqrt{a+b \cot (d+e x)+c \cot ^2(d+e x)} \, dx\)
 3.8 \(\int \cot (d+e x) \sqrt{a+b \cot (d+e x)+c \cot ^2(d+e x)} \, dx\)
 3.9 \(\int \sqrt{a+b \cot (d+e x)+c \cot ^2(d+e x)} \tan (d+e x) \, dx\)
 3.10 \(\int \sqrt{a+b \cot (d+e x)+c \cot ^2(d+e x)} \tan ^3(d+e x) \, dx\)
 3.11 \(\int \frac{\cot ^7(d+e x)}{(a+b \cot (d+e x)+c \cot ^2(d+e x))^{3/2}} \, dx\)
 3.12 \(\int \frac{\cot ^5(d+e x)}{(a+b \cot (d+e x)+c \cot ^2(d+e x))^{3/2}} \, dx\)
 3.13 \(\int \frac{\cot ^3(d+e x)}{(a+b \cot (d+e x)+c \cot ^2(d+e x))^{3/2}} \, dx\)
 3.14 \(\int \frac{\cot (d+e x)}{(a+b \cot (d+e x)+c \cot ^2(d+e x))^{3/2}} \, dx\)
 3.15 \(\int \frac{\tan (d+e x)}{(a+b \cot (d+e x)+c \cot ^2(d+e x))^{3/2}} \, dx\)
 3.16 \(\int \frac{\tan ^3(d+e x)}{(a+b \cot (d+e x)+c \cot ^2(d+e x))^{3/2}} \, dx\)
 3.17 \(\int \frac{\cot ^5(d+e x)}{\sqrt{a+b \cot ^2(d+e x)+c \cot ^4(d+e x)}} \, dx\)
 3.18 \(\int \frac{\cot ^3(d+e x)}{\sqrt{a+b \cot ^2(d+e x)+c \cot ^4(d+e x)}} \, dx\)
 3.19 \(\int \frac{\cot (d+e x)}{\sqrt{a+b \cot ^2(d+e x)+c \cot ^4(d+e x)}} \, dx\)
 3.20 \(\int \frac{\tan (d+e x)}{\sqrt{a+b \cot ^2(d+e x)+c \cot ^4(d+e x)}} \, dx\)
 3.21 \(\int \frac{\tan ^3(d+e x)}{\sqrt{a+b \cot ^2(d+e x)+c \cot ^4(d+e x)}} \, dx\)
 3.22 \(\int \cot ^5(d+e x) \sqrt{a+b \cot ^2(d+e x)+c \cot ^4(d+e x)} \, dx\)
 3.23 \(\int \cot ^3(d+e x) \sqrt{a+b \cot ^2(d+e x)+c \cot ^4(d+e x)} \, dx\)
 3.24 \(\int \cot (d+e x) \sqrt{a+b \cot ^2(d+e x)+c \cot ^4(d+e x)} \, dx\)
 3.25 \(\int \sqrt{a+b \cot ^2(d+e x)+c \cot ^4(d+e x)} \tan (d+e x) \, dx\)
 3.26 \(\int \sqrt{a+b \cot ^2(d+e x)+c \cot ^4(d+e x)} \tan ^3(d+e x) \, dx\)
 3.27 \(\int \frac{\cot ^7(d+e x)}{(a+b \cot ^2(d+e x)+c \cot ^4(d+e x))^{3/2}} \, dx\)
 3.28 \(\int \frac{\cot ^5(d+e x)}{(a+b \cot ^2(d+e x)+c \cot ^4(d+e x))^{3/2}} \, dx\)
 3.29 \(\int \frac{\cot ^3(d+e x)}{(a+b \cot ^2(d+e x)+c \cot ^4(d+e x))^{3/2}} \, dx\)
 3.30 \(\int \frac{\cot (d+e x)}{(a+b \cot ^2(d+e x)+c \cot ^4(d+e x))^{3/2}} \, dx\)
 3.31 \(\int \frac{\tan (d+e x)}{(a+b \cot ^2(d+e x)+c \cot ^4(d+e x))^{3/2}} \, dx\)
 3.32 \(\int \frac{\tan ^3(d+e x)}{(a+b \cot ^2(d+e x)+c \cot ^4(d+e x))^{3/2}} \, dx\)