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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
\(\int \frac{\tan ^3(d+e x)}{(a+b \cot ^2(d+e x)+c \cot ^4(d+e x))^{3/2}} \, dx\)
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