3.9 Integrals 801 to 900

   \(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x)) \, dx\) [801]
   \(\int \genfrac {}{}{}{}{a+b \tan (c+d x)}{\sqrt {\cot (c+d x)}} \, dx\) [802]
   \(\int \genfrac {}{}{}{}{a+b \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [803]
   \(\int \genfrac {}{}{}{}{a+b \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [804]
   \(\int \cot ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \tan (c+d x))^2 \, dx\) [805]
   \(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^2 \, dx\) [806]
   \(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^2 \, dx\) [807]
   \(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^2 \, dx\) [808]
   \(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^2 \, dx\) [809]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^2}{\sqrt {\cot (c+d x)}} \, dx\) [810]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^2}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [811]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^2}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [812]
   \(\int \cot ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \tan (c+d x))^3 \, dx\) [813]
   \(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^3 \, dx\) [814]
   \(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^3 \, dx\) [815]
   \(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^3 \, dx\) [816]
   \(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^3 \, dx\) [817]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^3}{\sqrt {\cot (c+d x)}} \, dx\) [818]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^3}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [819]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{a+b \tan (c+d x)} \, dx\) [820]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{a+b \tan (c+d x)} \, dx\) [821]
   \(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)}}{a+b \tan (c+d x)} \, dx\) [822]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))} \, dx\) [823]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))} \, dx\) [824]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))} \, dx\) [825]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \tan (c+d x))^2} \, dx\) [826]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \tan (c+d x))^2} \, dx\) [827]
   \(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)}}{(a+b \tan (c+d x))^2} \, dx\) [828]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^2} \, dx\) [829]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^2} \, dx\) [830]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^2} \, dx\) [831]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^2} \, dx\) [832]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \tan (c+d x))^3} \, dx\) [833]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \tan (c+d x))^3} \, dx\) [834]
   \(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)}}{(a+b \tan (c+d x))^3} \, dx\) [835]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^3} \, dx\) [836]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^3} \, dx\) [837]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^3} \, dx\) [838]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^3} \, dx\) [839]
   \(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} \, dx\) [840]
   \(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} \, dx\) [841]
   \(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} \, dx\) [842]
   \(\int \sqrt {\cot (c+d x)} \sqrt {a+b \tan (c+d x)} \, dx\) [843]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)}}{\sqrt {\cot (c+d x)}} \, dx\) [844]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)}}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [845]
   \(\int \cot ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} \, dx\) [846]
   \(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} \, dx\) [847]
   \(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} \, dx\) [848]
   \(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} \, dx\) [849]
   \(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{3/2} \, dx\) [850]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2}}{\sqrt {\cot (c+d x)}} \, dx\) [851]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2}}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [852]
   \(\int \cot ^{\genfrac {}{}{}{}{11}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} \, dx\) [853]
   \(\int \cot ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} \, dx\) [854]
   \(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} \, dx\) [855]
   \(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} \, dx\) [856]
   \(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} \, dx\) [857]
   \(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{5/2} \, dx\) [858]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2}}{\sqrt {\cot (c+d x)}} \, dx\) [859]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2}}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [860]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{\sqrt {a+b \tan (c+d x)}} \, dx\) [861]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{\sqrt {a+b \tan (c+d x)}} \, dx\) [862]
   \(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)}}{\sqrt {a+b \tan (c+d x)}} \, dx\) [863]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {\cot (c+d x)} \sqrt {a+b \tan (c+d x)}} \, dx\) [864]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \tan (c+d x)}} \, dx\) [865]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+b \tan (c+d x)}} \, dx\) [866]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \tan (c+d x))^{3/2}} \, dx\) [867]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \tan (c+d x))^{3/2}} \, dx\) [868]
   \(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)}}{(a+b \tan (c+d x))^{3/2}} \, dx\) [869]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{3/2}} \, dx\) [870]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx\) [871]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx\) [872]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx\) [873]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \tan (c+d x))^{5/2}} \, dx\) [874]
   \(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \tan (c+d x))^{5/2}} \, dx\) [875]
   \(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)}}{(a+b \tan (c+d x))^{5/2}} \, dx\) [876]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{5/2}} \, dx\) [877]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{5/2}} \, dx\) [878]
   \(\int \genfrac {}{}{}{}{1}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{5/2}} \, dx\) [879]
   \(\int (d \cot (e+f x))^n (a+b \tan (e+f x))^3 \, dx\) [880]
   \(\int (d \cot (e+f x))^n (a+b \tan (e+f x))^2 \, dx\) [881]
   \(\int (d \cot (e+f x))^n (a+b \tan (e+f x)) \, dx\) [882]
   \(\int \genfrac {}{}{}{}{(d \cot (e+f x))^n}{a+b \tan (e+f x)} \, dx\) [883]
   \(\int \genfrac {}{}{}{}{(d \cot (e+f x))^n}{(a+b \tan (e+f x))^2} \, dx\) [884]
   \(\int (d \cot (e+f x))^n (a+b \tan (e+f x))^m \, dx\) [885]
   \(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^n \, dx\) [886]
   \(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^n \, dx\) [887]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^n}{\sqrt {\cot (c+d x)}} \, dx\) [888]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^n}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [889]
   \(\int (a+i a \tan (e+f x))^3 (c-i c \tan (e+f x)) \, dx\) [890]
   \(\int (a+i a \tan (e+f x))^2 (c-i c \tan (e+f x)) \, dx\) [891]
   \(\int (a+i a \tan (e+f x)) (c-i c \tan (e+f x)) \, dx\) [892]
   \(\int \genfrac {}{}{}{}{c-i c \tan (e+f x)}{a+i a \tan (e+f x)} \, dx\) [893]
   \(\int \genfrac {}{}{}{}{c-i c \tan (e+f x)}{(a+i a \tan (e+f x))^2} \, dx\) [894]
   \(\int \genfrac {}{}{}{}{c-i c \tan (e+f x)}{(a+i a \tan (e+f x))^3} \, dx\) [895]
   \(\int (a+i a \tan (e+f x))^4 (c-i c \tan (e+f x))^2 \, dx\) [896]
   \(\int (a+i a \tan (e+f x))^3 (c-i c \tan (e+f x))^2 \, dx\) [897]
   \(\int (a+i a \tan (e+f x))^2 (c-i c \tan (e+f x))^2 \, dx\) [898]
   \(\int (a+i a \tan (e+f x)) (c-i c \tan (e+f x))^2 \, dx\) [899]
   \(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^2}{a+i a \tan (e+f x)} \, dx\) [900]