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3.4
Integrals 301 to 397
\(\int \genfrac {}{}{}{}{\sec (a+b x) \tan ^2(a+b x)}{c+d x} \, dx\) [301]
\(\int \genfrac {}{}{}{}{\sec (a+b x) \tan ^2(a+b x)}{(c+d x)^2} \, dx\) [302]
\(\int (c+d x)^m \tan ^3(a+b x) \, dx\) [303]
\(\int (c+d x)^3 \tan ^3(a+b x) \, dx\) [304]
\(\int (c+d x)^2 \tan ^3(a+b x) \, dx\) [305]
\(\int (c+d x) \tan ^3(a+b x) \, dx\) [306]
\(\int \genfrac {}{}{}{}{\tan ^3(a+b x)}{c+d x} \, dx\) [307]
\(\int \genfrac {}{}{}{}{\tan ^3(a+b x)}{(c+d x)^2} \, dx\) [308]
\(\int (c+d x)^m \csc (a+b x) \sec ^3(a+b x) \, dx\) [309]
\(\int (c+d x)^4 \csc (a+b x) \sec ^3(a+b x) \, dx\) [310]
\(\int (c+d x)^3 \csc (a+b x) \sec ^3(a+b x) \, dx\) [311]
\(\int (c+d x)^2 \csc (a+b x) \sec ^3(a+b x) \, dx\) [312]
\(\int (c+d x) \csc (a+b x) \sec ^3(a+b x) \, dx\) [313]
\(\int \genfrac {}{}{}{}{\csc (a+b x) \sec ^3(a+b x)}{c+d x} \, dx\) [314]
\(\int \genfrac {}{}{}{}{\csc (a+b x) \sec ^3(a+b x)}{(c+d x)^2} \, dx\) [315]
\(\int (c+d x)^m \csc ^2(a+b x) \sec ^3(a+b x) \, dx\) [316]
\(\int (c+d x)^3 \csc ^2(a+b x) \sec ^3(a+b x) \, dx\) [317]
\(\int (c+d x)^2 \csc ^2(a+b x) \sec ^3(a+b x) \, dx\) [318]
\(\int (c+d x) \csc ^2(a+b x) \sec ^3(a+b x) \, dx\) [319]
\(\int \genfrac {}{}{}{}{\csc ^2(a+b x) \sec ^3(a+b x)}{c+d x} \, dx\) [320]
\(\int \genfrac {}{}{}{}{\csc ^2(a+b x) \sec ^3(a+b x)}{(c+d x)^2} \, dx\) [321]
\(\int (c+d x)^m \csc ^3(a+b x) \sec ^3(a+b x) \, dx\) [322]
\(\int (c+d x)^3 \csc ^3(a+b x) \sec ^3(a+b x) \, dx\) [323]
\(\int (c+d x)^2 \csc ^3(a+b x) \sec ^3(a+b x) \, dx\) [324]
\(\int (c+d x) \csc ^3(a+b x) \sec ^3(a+b x) \, dx\) [325]
\(\int \genfrac {}{}{}{}{\csc ^3(a+b x) \sec ^3(a+b x)}{c+d x} \, dx\) [326]
\(\int \genfrac {}{}{}{}{\csc ^3(a+b x) \sec ^3(a+b x)}{(c+d x)^2} \, dx\) [327]
\(\int x \cos ^{\genfrac {}{}{}{}{5}{2}}(a+b x) \sin (a+b x) \, dx\) [328]
\(\int x \cos ^{\genfrac {}{}{}{}{3}{2}}(a+b x) \sin (a+b x) \, dx\) [329]
\(\int x \sqrt {\cos (a+b x)} \sin (a+b x) \, dx\) [330]
\(\int \genfrac {}{}{}{}{x \sin (a+b x)}{\sqrt {\cos (a+b x)}} \, dx\) [331]
\(\int \genfrac {}{}{}{}{x \sin (a+b x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(a+b x)} \, dx\) [332]
\(\int \genfrac {}{}{}{}{x \sin (a+b x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(a+b x)} \, dx\) [333]
\(\int \genfrac {}{}{}{}{x \sin (a+b x)}{\cos ^{\genfrac {}{}{}{}{7}{2}}(a+b x)} \, dx\) [334]
\(\int \genfrac {}{}{}{}{x \sin (a+b x)}{\cos ^{\genfrac {}{}{}{}{9}{2}}(a+b x)} \, dx\) [335]
\(\int x \sec ^{\genfrac {}{}{}{}{9}{2}}(a+b x) \sin (a+b x) \, dx\) [336]
\(\int x \sec ^{\genfrac {}{}{}{}{7}{2}}(a+b x) \sin (a+b x) \, dx\) [337]
\(\int x \sec ^{\genfrac {}{}{}{}{5}{2}}(a+b x) \sin (a+b x) \, dx\) [338]
\(\int x \sec ^{\genfrac {}{}{}{}{3}{2}}(a+b x) \sin (a+b x) \, dx\) [339]
\(\int x \sqrt {\sec (a+b x)} \sin (a+b x) \, dx\) [340]
\(\int \genfrac {}{}{}{}{x \sin (a+b x)}{\sqrt {\sec (a+b x)}} \, dx\) [341]
\(\int \genfrac {}{}{}{}{x \sin (a+b x)}{\sec ^{\genfrac {}{}{}{}{3}{2}}(a+b x)} \, dx\) [342]
\(\int \genfrac {}{}{}{}{x \sin (a+b x)}{\sec ^{\genfrac {}{}{}{}{5}{2}}(a+b x)} \, dx\) [343]
\(\int x \cos (a+b x) \sin ^{\genfrac {}{}{}{}{5}{2}}(a+b x) \, dx\) [344]
\(\int x \cos (a+b x) \sin ^{\genfrac {}{}{}{}{3}{2}}(a+b x) \, dx\) [345]
\(\int x \cos (a+b x) \sqrt {\sin (a+b x)} \, dx\) [346]
\(\int \genfrac {}{}{}{}{x \cos (a+b x)}{\sqrt {\sin (a+b x)}} \, dx\) [347]
\(\int \genfrac {}{}{}{}{x \cos (a+b x)}{\sin ^{\genfrac {}{}{}{}{3}{2}}(a+b x)} \, dx\) [348]
\(\int \genfrac {}{}{}{}{x \cos (a+b x)}{\sin ^{\genfrac {}{}{}{}{5}{2}}(a+b x)} \, dx\) [349]
\(\int \genfrac {}{}{}{}{x \cos (a+b x)}{\sin ^{\genfrac {}{}{}{}{7}{2}}(a+b x)} \, dx\) [350]
\(\int \genfrac {}{}{}{}{x \cos (a+b x)}{\sin ^{\genfrac {}{}{}{}{9}{2}}(a+b x)} \, dx\) [351]
\(\int x \cos (a+b x) \csc ^{\genfrac {}{}{}{}{9}{2}}(a+b x) \, dx\) [352]
\(\int x \cos (a+b x) \csc ^{\genfrac {}{}{}{}{7}{2}}(a+b x) \, dx\) [353]
\(\int x \cos (a+b x) \csc ^{\genfrac {}{}{}{}{5}{2}}(a+b x) \, dx\) [354]
\(\int x \cos (a+b x) \csc ^{\genfrac {}{}{}{}{3}{2}}(a+b x) \, dx\) [355]
\(\int x \cos (a+b x) \sqrt {\csc (a+b x)} \, dx\) [356]
\(\int \genfrac {}{}{}{}{x \cos (a+b x)}{\sqrt {\csc (a+b x)}} \, dx\) [357]
\(\int \genfrac {}{}{}{}{x \cos (a+b x)}{\csc ^{\genfrac {}{}{}{}{3}{2}}(a+b x)} \, dx\) [358]
\(\int \genfrac {}{}{}{}{x \cos (a+b x)}{\csc ^{\genfrac {}{}{}{}{5}{2}}(a+b x)} \, dx\) [359]
\(\int x \csc (x) \sin (3 x) \, dx\) [360]
\(\int (c+d x)^4 \csc (x) \sin (3 x) \, dx\) [361]
\(\int (c+d x)^3 \csc (x) \sin (3 x) \, dx\) [362]
\(\int (c+d x)^2 \csc (x) \sin (3 x) \, dx\) [363]
\(\int (c+d x) \csc (x) \sin (3 x) \, dx\) [364]
\(\int \genfrac {}{}{}{}{\csc (x) \sin (3 x)}{c+d x} \, dx\) [365]
\(\int \genfrac {}{}{}{}{\csc (x) \sin (3 x)}{(c+d x)^2} \, dx\) [366]
\(\int \genfrac {}{}{}{}{\csc (x) \sin (3 x)}{(c+d x)^3} \, dx\) [367]
\(\int (c+d x)^4 \csc (a+b x) \sin (3 a+3 b x) \, dx\) [368]
\(\int (c+d x)^3 \csc (a+b x) \sin (3 a+3 b x) \, dx\) [369]
\(\int (c+d x)^2 \csc (a+b x) \sin (3 a+3 b x) \, dx\) [370]
\(\int (c+d x) \csc (a+b x) \sin (3 a+3 b x) \, dx\) [371]
\(\int \genfrac {}{}{}{}{\csc (a+b x) \sin (3 a+3 b x)}{c+d x} \, dx\) [372]
\(\int \genfrac {}{}{}{}{\csc (a+b x) \sin (3 a+3 b x)}{(c+d x)^2} \, dx\) [373]
\(\int \genfrac {}{}{}{}{\csc (a+b x) \sin (3 a+3 b x)}{(c+d x)^3} \, dx\) [374]
\(\int \genfrac {}{}{}{}{\csc (a+b x) \sin (3 a+3 b x)}{(c+d x)^4} \, dx\) [375]
\(\int (c+d x)^3 \csc ^2(a+b x) \sin (3 a+3 b x) \, dx\) [376]
\(\int (c+d x)^2 \csc ^2(a+b x) \sin (3 a+3 b x) \, dx\) [377]
\(\int (c+d x) \csc ^2(a+b x) \sin (3 a+3 b x) \, dx\) [378]
\(\int \genfrac {}{}{}{}{\csc ^2(a+b x) \sin (3 a+3 b x)}{c+d x} \, dx\) [379]
\(\int \genfrac {}{}{}{}{\csc ^2(a+b x) \sin (3 a+3 b x)}{(c+d x)^2} \, dx\) [380]
\(\int \genfrac {}{}{}{}{\csc ^2(a+b x) \sin (3 a+3 b x)}{(c+d x)^3} \, dx\) [381]
\(\int (c+d x)^4 \sec (a+b x) \sin (3 a+3 b x) \, dx\) [382]
\(\int (c+d x)^3 \sec (a+b x) \sin (3 a+3 b x) \, dx\) [383]
\(\int (c+d x)^2 \sec (a+b x) \sin (3 a+3 b x) \, dx\) [384]
\(\int (c+d x) \sec (a+b x) \sin (3 a+3 b x) \, dx\) [385]
\(\int \genfrac {}{}{}{}{\sec (a+b x) \sin (3 a+3 b x)}{c+d x} \, dx\) [386]
\(\int \genfrac {}{}{}{}{\sec (a+b x) \sin (3 a+3 b x)}{(c+d x)^2} \, dx\) [387]
\(\int \genfrac {}{}{}{}{\sec (a+b x) \sin (3 a+3 b x)}{(c+d x)^3} \, dx\) [388]
\(\int (c+d x)^3 \sec ^2(a+b x) \sin (3 a+3 b x) \, dx\) [389]
\(\int (c+d x)^2 \sec ^2(a+b x) \sin (3 a+3 b x) \, dx\) [390]
\(\int (c+d x) \sec ^2(a+b x) \sin (3 a+3 b x) \, dx\) [391]
\(\int \genfrac {}{}{}{}{\sec ^2(a+b x) \sin (3 a+3 b x)}{c+d x} \, dx\) [392]
\(\int \genfrac {}{}{}{}{\sec ^2(a+b x) \sin (3 a+3 b x)}{(c+d x)^2} \, dx\) [393]
\(\int \genfrac {}{}{}{}{\sec ^2(a+b x) \sin (3 a+3 b x)}{(c+d x)^3} \, dx\) [394]
\(\int x \cos (2 x) \sec (x) \, dx\) [395]
\(\int x \cos (2 x) \sec ^2(x) \, dx\) [396]
\(\int x \cos (2 x) \sec ^3(x) \, dx\) [397]
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