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3.7
Integrals 601 to 700
3.7.1
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx\) [601]
3.7.2
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^3} \, dx\) [602]
3.7.3
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^3} \, dx\) [603]
3.7.4
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^3} \, dx\) [604]
3.7.5
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^3} \, dx\) [605]
3.7.6
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [606]
3.7.7
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [607]
3.7.8
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [608]
3.7.9
\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))} \, dx\) [609]
3.7.10
\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))} \, dx\) [610]
3.7.11
\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))} \, dx\) [611]
3.7.12
\(\int \cot ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [612]
3.7.13
\(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [613]
3.7.14
\(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [614]
3.7.15
\(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [615]
3.7.16
\(\int \sqrt {\cot (c+d x)} \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [616]
3.7.17
\(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\sqrt {\cot (c+d x)}} \, dx\) [617]
3.7.18
\(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [618]
3.7.19
\(\int \cot ^{\genfrac {}{}{}{}{11}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [619]
3.7.20
\(\int \cot ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [620]
3.7.21
\(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [621]
3.7.22
\(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [622]
3.7.23
\(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [623]
3.7.24
\(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [624]
3.7.25
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\sqrt {\cot (c+d x)}} \, dx\) [625]
3.7.26
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [626]
3.7.27
\(\int \cot ^{\genfrac {}{}{}{}{13}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [627]
3.7.28
\(\int \cot ^{\genfrac {}{}{}{}{11}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [628]
3.7.29
\(\int \cot ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [629]
3.7.30
\(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [630]
3.7.31
\(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [631]
3.7.32
\(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [632]
3.7.33
\(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [633]
3.7.34
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\sqrt {\cot (c+d x)}} \, dx\) [634]
3.7.35
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [635]
3.7.36
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [636]
3.7.37
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [637]
3.7.38
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [638]
3.7.39
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [639]
3.7.40
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\cot (c+d x)} \sqrt {a+b \tan (c+d x)}} \, dx\) [640]
3.7.41
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \tan (c+d x)}} \, dx\) [641]
3.7.42
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [642]
3.7.43
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [643]
3.7.44
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [644]
3.7.45
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{3/2}} \, dx\) [645]
3.7.46
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx\) [646]
3.7.47
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [647]
3.7.48
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [648]
3.7.49
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [649]
3.7.50
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{5/2}} \, dx\) [650]
3.7.51
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{5/2}} \, dx\) [651]
3.7.52
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{5/2}} \, dx\) [652]
3.7.53
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [653]
3.7.54
\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{3/2}} \, dx\) [654]
3.7.55
\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx\) [655]
3.7.56
\(\int \cot ^m(c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [656]
3.7.57
\(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [657]
3.7.58
\(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [658]
3.7.59
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^n (A+B \tan (c+d x))}{\sqrt {\cot (c+d x)}} \, dx\) [659]
3.7.60
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^n (A+B \tan (c+d x))}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [660]
3.7.61
\(\int \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [661]
3.7.62
\(\int \sqrt {\tan (c+d x)} (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [662]
3.7.63
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^n (A+B \tan (c+d x))}{\sqrt {\tan (c+d x)}} \, dx\) [663]
3.7.64
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^n (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [664]
3.7.65
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) (c-i c \tan (e+f x))^n \, dx\) [665]
3.7.66
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) (c-i c \tan (e+f x))^4 \, dx\) [666]
3.7.67
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) (c-i c \tan (e+f x))^3 \, dx\) [667]
3.7.68
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) (c-i c \tan (e+f x))^2 \, dx\) [668]
3.7.69
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) (c-i c \tan (e+f x)) \, dx\) [669]
3.7.70
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) \, dx\) [670]
3.7.71
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x)) (A+B \tan (e+f x))}{c-i c \tan (e+f x)} \, dx\) [671]
3.7.72
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x)) (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^2} \, dx\) [672]
3.7.73
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x)) (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^3} \, dx\) [673]
3.7.74
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x)) (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^4} \, dx\) [674]
3.7.75
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x)) (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^5} \, dx\) [675]
3.7.76
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^n \, dx\) [676]
3.7.77
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^5 \, dx\) [677]
3.7.78
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^4 \, dx\) [678]
3.7.79
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^3 \, dx\) [679]
3.7.80
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^2 \, dx\) [680]
3.7.81
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x)) \, dx\) [681]
3.7.82
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) \, dx\) [682]
3.7.83
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{c-i c \tan (e+f x)} \, dx\) [683]
3.7.84
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^2} \, dx\) [684]
3.7.85
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^3} \, dx\) [685]
3.7.86
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^4} \, dx\) [686]
3.7.87
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^5} \, dx\) [687]
3.7.88
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^6} \, dx\) [688]
3.7.89
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^n \, dx\) [689]
3.7.90
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^6 \, dx\) [690]
3.7.91
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^5 \, dx\) [691]
3.7.92
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^4 \, dx\) [692]
3.7.93
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^3 \, dx\) [693]
3.7.94
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^2 \, dx\) [694]
3.7.95
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x)) \, dx\) [695]
3.7.96
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) \, dx\) [696]
3.7.97
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3 (A+B \tan (e+f x))}{c-i c \tan (e+f x)} \, dx\) [697]
3.7.98
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^2} \, dx\) [698]
3.7.99
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^3} \, dx\) [699]
3.7.100
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^4} \, dx\) [700]
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