3.10.1 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{a+b \sec (c+d x)} \, dx\) [901]
  3.10.2 \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{a+b \sec (c+d x)} \, dx\) [902]
  3.10.3 \(\int \genfrac {}{}{}{}{A+B \sec (c+d x)+C \sec ^2(c+d x)}{a+b \sec (c+d x)} \, dx\) [903]
  3.10.4 \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{a+b \sec (c+d x)} \, dx\) [904]
  3.10.5 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{a+b \sec (c+d x)} \, dx\) [905]
  3.10.6 \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{a+b \sec (c+d x)} \, dx\) [906]
  3.10.7 \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{a+b \sec (c+d x)} \, dx\) [907]
  3.10.8 \(\int \genfrac {}{}{}{}{\sec ^4(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^2} \, dx\) [908]
  3.10.9 \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^2} \, dx\) [909]
  3.10.10 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^2} \, dx\) [910]
  3.10.11 \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^2} \, dx\) [911]
  3.10.12 \(\int \genfrac {}{}{}{}{A+B \sec (c+d x)+C \sec ^2(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [912]
  3.10.13 \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^2} \, dx\) [913]
  3.10.14 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^2} \, dx\) [914]
  3.10.15 \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^2} \, dx\) [915]
  3.10.16 \(\int \genfrac {}{}{}{}{\sec ^4(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^3} \, dx\) [916]
  3.10.17 \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^3} \, dx\) [917]
  3.10.18 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^3} \, dx\) [918]
  3.10.19 \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^3} \, dx\) [919]
  3.10.20 \(\int \genfrac {}{}{}{}{A+B \sec (c+d x)+C \sec ^2(c+d x)}{(a+b \sec (c+d x))^3} \, dx\) [920]
  3.10.21 \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^3} \, dx\) [921]
  3.10.22 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^3} \, dx\) [922]
  3.10.23 \(\int \genfrac {}{}{}{}{\sec ^4(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^4} \, dx\) [923]
  3.10.24 \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^4} \, dx\) [924]
  3.10.25 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^4} \, dx\) [925]
  3.10.26 \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^4} \, dx\) [926]
  3.10.27 \(\int \genfrac {}{}{}{}{A+B \sec (c+d x)+C \sec ^2(c+d x)}{(a+b \sec (c+d x))^4} \, dx\) [927]
  3.10.28 \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^4} \, dx\) [928]
  3.10.29 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^4} \, dx\) [929]
  3.10.30 \(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)}{a+b \sec (c+d x)} \, dx\) [930]
  3.10.31 \(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [931]
  3.10.32 \(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)}{(a+b \sec (c+d x))^3} \, dx\) [932]
  3.10.33 \(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)}{(a+b \sec (c+d x))^4} \, dx\) [933]
  3.10.34 \(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)}{(a+b \sec (c+d x))^5} \, dx\) [934]
  3.10.35 \(\int \sec ^3(c+d x) \sqrt {a+b \sec (c+d x)} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [935]
  3.10.36 \(\int \sec ^2(c+d x) \sqrt {a+b \sec (c+d x)} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [936]
  3.10.37 \(\int \sec (c+d x) \sqrt {a+b \sec (c+d x)} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [937]
  3.10.38 \(\int \sqrt {a+b \sec (c+d x)} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [938]
  3.10.39 \(\int \cos (c+d x) \sqrt {a+b \sec (c+d x)} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [939]
  3.10.40 \(\int \cos ^2(c+d x) \sqrt {a+b \sec (c+d x)} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [940]
  3.10.41 \(\int \cos ^3(c+d x) \sqrt {a+b \sec (c+d x)} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [941]
  3.10.42 \(\int \sec ^3(c+d x) (a+b \sec (c+d x))^{3/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [942]
  3.10.43 \(\int \sec ^2(c+d x) (a+b \sec (c+d x))^{3/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [943]
  3.10.44 \(\int \sec (c+d x) (a+b \sec (c+d x))^{3/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [944]
  3.10.45 \(\int (a+b \sec (c+d x))^{3/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [945]
  3.10.46 \(\int \cos (c+d x) (a+b \sec (c+d x))^{3/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [946]
  3.10.47 \(\int \cos ^2(c+d x) (a+b \sec (c+d x))^{3/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [947]
  3.10.48 \(\int \cos ^3(c+d x) (a+b \sec (c+d x))^{3/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [948]
  3.10.49 \(\int \cos ^4(c+d x) (a+b \sec (c+d x))^{3/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [949]
  3.10.50 \(\int \sec ^2(c+d x) (a+b \sec (c+d x))^{5/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [950]
  3.10.51 \(\int \sec (c+d x) (a+b \sec (c+d x))^{5/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [951]
  3.10.52 \(\int (a+b \sec (c+d x))^{5/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [952]
  3.10.53 \(\int \cos (c+d x) (a+b \sec (c+d x))^{5/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [953]
  3.10.54 \(\int \cos ^2(c+d x) (a+b \sec (c+d x))^{5/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [954]
  3.10.55 \(\int \cos ^3(c+d x) (a+b \sec (c+d x))^{5/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [955]
  3.10.56 \(\int \cos ^4(c+d x) (a+b \sec (c+d x))^{5/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [956]
  3.10.57 \(\int \cos ^5(c+d x) (a+b \sec (c+d x))^{5/2} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [957]
  3.10.58 \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sqrt {a+b \sec (c+d x)}} \, dx\) [958]
  3.10.59 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sqrt {a+b \sec (c+d x)}} \, dx\) [959]
  3.10.60 \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sqrt {a+b \sec (c+d x)}} \, dx\) [960]
  3.10.61 \(\int \genfrac {}{}{}{}{A+B \sec (c+d x)+C \sec ^2(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [961]
  3.10.62 \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sqrt {a+b \sec (c+d x)}} \, dx\) [962]
  3.10.63 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sqrt {a+b \sec (c+d x)}} \, dx\) [963]
  3.10.64 \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^{3/2}} \, dx\) [964]
  3.10.65 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^{3/2}} \, dx\) [965]
  3.10.66 \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^{3/2}} \, dx\) [966]
  3.10.67 \(\int \genfrac {}{}{}{}{A+B \sec (c+d x)+C \sec ^2(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [967]
  3.10.68 \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^{3/2}} \, dx\) [968]
  3.10.69 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^{3/2}} \, dx\) [969]
  3.10.70 \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^{5/2}} \, dx\) [970]
  3.10.71 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^{5/2}} \, dx\) [971]
  3.10.72 \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^{5/2}} \, dx\) [972]
  3.10.73 \(\int \genfrac {}{}{}{}{A+B \sec (c+d x)+C \sec ^2(c+d x)}{(a+b \sec (c+d x))^{5/2}} \, dx\) [973]
  3.10.74 \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{(a+b \sec (c+d x))^{5/2}} \, dx\) [974]
  3.10.75 \(\int (a+b \sec (c+d x))^{3/2} (a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)) \, dx\) [975]
  3.10.76 \(\int \sqrt {a+b \sec (c+d x)} (a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)) \, dx\) [976]
  3.10.77 \(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [977]
  3.10.78 \(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [978]
  3.10.79 \(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)}{(a+b \sec (c+d x))^{5/2}} \, dx\) [979]
  3.10.80 \(\int \genfrac {}{}{}{}{a b B-a^2 C+b^2 B \sec (c+d x)+b^2 C \sec ^2(c+d x)}{(a+b \sec (c+d x))^{7/2}} \, dx\) [980]
  3.10.81 \(\int \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [981]
  3.10.82 \(\int \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [982]
  3.10.83 \(\int \sqrt {\sec (c+d x)} (a+b \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [983]
  3.10.84 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [984]
  3.10.85 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [985]
  3.10.86 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [986]
  3.10.87 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [987]
  3.10.88 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [988]
  3.10.89 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x)} \, dx\) [989]
  3.10.90 \(\int \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [990]
  3.10.91 \(\int \sqrt {\sec (c+d x)} (a+b \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [991]
  3.10.92 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [992]
  3.10.93 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [993]
  3.10.94 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [994]
  3.10.95 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [995]
  3.10.96 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [996]
  3.10.97 \(\int \sqrt {\sec (c+d x)} (a+b \sec (c+d x))^3 (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [997]
  3.10.98 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^3 (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [998]
  3.10.99 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^3 (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [999]
  3.10.100 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^3 (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [1000]