3.1 Integrals 1 to 52

3.1.1 \(\int \cot (a+b x) \, dx\) [1]
3.1.2 \(\int \cot ^2(a+b x) \, dx\) [2]
3.1.3 \(\int \cot ^3(a+b x) \, dx\) [3]
3.1.4 \(\int \cot ^4(a+b x) \, dx\) [4]
3.1.5 \(\int \cot ^5(a+b x) \, dx\) [5]
3.1.6 \(\int \cot ^6(a+b x) \, dx\) [6]
3.1.7 \(\int \cot ^7(a+b x) \, dx\) [7]
3.1.8 \(\int \cot ^8(a+b x) \, dx\) [8]
3.1.9 \(\int (c \cot (a+b x))^{7/2} \, dx\) [9]
3.1.10 \(\int (c \cot (a+b x))^{5/2} \, dx\) [10]
3.1.11 \(\int (c \cot (a+b x))^{3/2} \, dx\) [11]
3.1.12 \(\int \sqrt {c \cot (a+b x)} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{1}{\sqrt {c \cot (a+b x)}} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{1}{(c \cot (a+b x))^{3/2}} \, dx\) [14]
3.1.15 \(\int \genfrac {}{}{}{}{1}{(c \cot (a+b x))^{5/2}} \, dx\) [15]
3.1.16 \(\int \genfrac {}{}{}{}{1}{(c \cot (a+b x))^{7/2}} \, dx\) [16]
3.1.17 \(\int (c \cot (a+b x))^{4/3} \, dx\) [17]
3.1.18 \(\int (c \cot (a+b x))^{2/3} \, dx\) [18]
3.1.19 \(\int \sqrt [3]{c \cot (a+b x)} \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c \cot (a+b x)}} \, dx\) [20]
3.1.21 \(\int \genfrac {}{}{}{}{1}{(c \cot (a+b x))^{2/3}} \, dx\) [21]
3.1.22 \(\int \genfrac {}{}{}{}{1}{(c \cot (a+b x))^{4/3}} \, dx\) [22]
3.1.23 \(\int \cot ^n(a+b x) \, dx\) [23]
3.1.24 \(\int (b \cot (c+d x))^n \, dx\) [24]
3.1.25 \(\int (a \cot ^2(x))^{3/2} \, dx\) [25]
3.1.26 \(\int \sqrt {a \cot ^2(x)} \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{1}{\sqrt {a \cot ^2(x)}} \, dx\) [27]
3.1.28 \(\int \genfrac {}{}{}{}{1}{(a \cot ^2(x))^{3/2}} \, dx\) [28]
3.1.29 \(\int (a \cot ^3(x))^{3/2} \, dx\) [29]
3.1.30 \(\int \sqrt {a \cot ^3(x)} \, dx\) [30]
3.1.31 \(\int \genfrac {}{}{}{}{1}{\sqrt {a \cot ^3(x)}} \, dx\) [31]
3.1.32 \(\int \genfrac {}{}{}{}{1}{(a \cot ^3(x))^{3/2}} \, dx\) [32]
3.1.33 \(\int (a \cot ^4(x))^{3/2} \, dx\) [33]
3.1.34 \(\int \sqrt {a \cot ^4(x)} \, dx\) [34]
3.1.35 \(\int \genfrac {}{}{}{}{1}{\sqrt {a \cot ^4(x)}} \, dx\) [35]
3.1.36 \(\int \genfrac {}{}{}{}{1}{(a \cot ^4(x))^{3/2}} \, dx\) [36]
3.1.37 \(\int (b \cot ^p(c+d x))^n \, dx\) [37]
3.1.38 \(\int (a (b \cot (c+d x))^p)^n \, dx\) [38]
3.1.39 \(\int (b \cot (e+f x))^n (a \sin (e+f x))^m \, dx\) [39]
3.1.40 \(\int (a \cos (e+f x))^m (b \cot (e+f x))^n \, dx\) [40]
3.1.41 \(\int (a \cot (e+f x))^m (b \cot (e+f x))^n \, dx\) [41]
3.1.42 \(\int (b \cot (e+f x))^n (a \sec (e+f x))^m \, dx\) [42]
3.1.43 \(\int (d \cot (e+f x))^n \csc ^6(e+f x) \, dx\) [43]
3.1.44 \(\int (d \cot (e+f x))^n \csc ^4(e+f x) \, dx\) [44]
3.1.45 \(\int (d \cot (e+f x))^n \csc ^2(e+f x) \, dx\) [45]
3.1.46 \(\int (d \cot (e+f x))^n \sin ^2(e+f x) \, dx\) [46]
3.1.47 \(\int (d \cot (e+f x))^n \sin ^4(e+f x) \, dx\) [47]
3.1.48 \(\int (d \cot (e+f x))^n \csc ^3(e+f x) \, dx\) [48]
3.1.49 \(\int (d \cot (e+f x))^n \csc (e+f x) \, dx\) [49]
3.1.50 \(\int (d \cot (e+f x))^n \sin (e+f x) \, dx\) [50]
3.1.51 \(\int (d \cot (e+f x))^n \sin ^3(e+f x) \, dx\) [51]
3.1.52 \(\int (b \cot (e+f x))^n (a \csc (e+f x))^m \, dx\) [52]