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3.6
Integrals 501 to 600
3.6.1
\(\int (a+a \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{13}{2}}(c+d x) \, dx\) [501]
3.6.2
\(\int (a+a \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [502]
3.6.3
\(\int (a+a \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [503]
3.6.4
\(\int (a+a \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [504]
3.6.5
\(\int (a+a \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [505]
3.6.6
\(\int (a+a \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [506]
3.6.7
\(\int (a+a \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [507]
3.6.8
\(\int \genfrac {}{}{}{}{(a+a \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [508]
3.6.9
\(\int \genfrac {}{}{}{}{(a+a \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [509]
3.6.10
\(\int (a+a \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{15}{2}}(c+d x) \, dx\) [510]
3.6.11
\(\int (a+a \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{13}{2}}(c+d x) \, dx\) [511]
3.6.12
\(\int (a+a \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [512]
3.6.13
\(\int (a+a \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [513]
3.6.14
\(\int (a+a \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [514]
3.6.15
\(\int (a+a \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [515]
3.6.16
\(\int (a+a \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [516]
3.6.17
\(\int (a+a \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [517]
3.6.18
\(\int \genfrac {}{}{}{}{(a+a \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [518]
3.6.19
\(\int \genfrac {}{}{}{}{(a+a \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [519]
3.6.20
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx\) [520]
3.6.21
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx\) [521]
3.6.22
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx\) [522]
3.6.23
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx\) [523]
3.6.24
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx\) [524]
3.6.25
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{\sqrt {a+a \cos (c+d x)}} \, dx\) [525]
3.6.26
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt {a+a \cos (c+d x)} \sqrt {\sec (c+d x)}} \, dx\) [526]
3.6.27
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt {a+a \cos (c+d x)} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [527]
3.6.28
\(\int \genfrac {}{}{}{}{(a A+(A b+a B) \cos (c+d x)+b B \cos ^2(c+d x)) \sqrt {\sec (c+d x)}}{\sqrt {a+a \cos (c+d x)}} \, dx\) [528]
3.6.29
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\) [529]
3.6.30
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\) [530]
3.6.31
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\) [531]
3.6.32
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\) [532]
3.6.33
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+a \cos (c+d x))^{3/2}} \, dx\) [533]
3.6.34
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{3/2} \sqrt {\sec (c+d x)}} \, dx\) [534]
3.6.35
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [535]
3.6.36
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\) [536]
3.6.37
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\) [537]
3.6.38
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\) [538]
3.6.39
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+a \cos (c+d x))^{5/2}} \, dx\) [539]
3.6.40
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{5/2} \sqrt {\sec (c+d x)}} \, dx\) [540]
3.6.41
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [541]
3.6.42
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [542]
3.6.43
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+a \cos (c+d x))^{7/2}} \, dx\) [543]
3.6.44
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+a \cos (c+d x))^{7/2}} \, dx\) [544]
3.6.45
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+a \cos (c+d x))^{7/2}} \, dx\) [545]
3.6.46
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{7/2} \sqrt {\sec (c+d x)}} \, dx\) [546]
3.6.47
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{7/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [547]
3.6.48
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{7/2} \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [548]
3.6.49
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{7/2} \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [549]
3.6.50
\(\int (a+b \cos (c+d x)) (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [550]
3.6.51
\(\int (a+b \cos (c+d x)) (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [551]
3.6.52
\(\int (a+b \cos (c+d x)) (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [552]
3.6.53
\(\int (a+b \cos (c+d x)) (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [553]
3.6.54
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x)) (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [554]
3.6.55
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x)) (A+B \cos (c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [555]
3.6.56
\(\int (a+b \cos (c+d x))^2 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [556]
3.6.57
\(\int (a+b \cos (c+d x))^2 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [557]
3.6.58
\(\int (a+b \cos (c+d x))^2 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [558]
3.6.59
\(\int (a+b \cos (c+d x))^2 (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [559]
3.6.60
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2 (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [560]
3.6.61
\(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [561]
3.6.62
\(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [562]
3.6.63
\(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [563]
3.6.64
\(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [564]
3.6.65
\(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [565]
3.6.66
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3 (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [566]
3.6.67
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [567]
3.6.68
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [568]
3.6.69
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{a+b \cos (c+d x)} \, dx\) [569]
3.6.70
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x)) \sqrt {\sec (c+d x)}} \, dx\) [570]
3.6.71
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [571]
3.6.72
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\) [572]
3.6.73
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\) [573]
3.6.74
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^2} \, dx\) [574]
3.6.75
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^2 \sqrt {\sec (c+d x)}} \, dx\) [575]
3.6.76
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^2 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [576]
3.6.77
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^2 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [577]
3.6.78
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [578]
3.6.79
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^3} \, dx\) [579]
3.6.80
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^3 \sqrt {\sec (c+d x)}} \, dx\) [580]
3.6.81
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [581]
3.6.82
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [582]
3.6.83
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [583]
3.6.84
\(\int \genfrac {}{}{}{}{(a B+b B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [584]
3.6.85
\(\int \genfrac {}{}{}{}{(a B+b B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [585]
3.6.86
\(\int \genfrac {}{}{}{}{(a B+b B \cos (c+d x)) \sqrt {\sec (c+d x)}}{a+b \cos (c+d x)} \, dx\) [586]
3.6.87
\(\int \genfrac {}{}{}{}{a B+b B \cos (c+d x)}{(a+b \cos (c+d x)) \sqrt {\sec (c+d x)}} \, dx\) [587]
3.6.88
\(\int \genfrac {}{}{}{}{a B+b B \cos (c+d x)}{(a+b \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [588]
3.6.89
\(\int \genfrac {}{}{}{}{a B+b B \cos (c+d x)}{(a+b \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [589]
3.6.90
\(\int \sqrt {a+b \cos (c+d x)} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [590]
3.6.91
\(\int \sqrt {a+b \cos (c+d x)} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [591]
3.6.92
\(\int \sqrt {a+b \cos (c+d x)} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [592]
3.6.93
\(\int \sqrt {a+b \cos (c+d x)} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [593]
3.6.94
\(\int \sqrt {a+b \cos (c+d x)} (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [594]
3.6.95
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)} (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [595]
3.6.96
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)} (A+B \cos (c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [596]
3.6.97
\(\int (a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [597]
3.6.98
\(\int (a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [598]
3.6.99
\(\int (a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [599]
3.6.100
\(\int (a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [600]
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