3.14 Integrals 1301 to 1344

\(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (e+f x)}}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1301]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \tan (e+f x)} \sqrt {c+d \tan (e+f x)}} \, dx\) [1302]
\(\int \genfrac {}{}{}{}{1}{(a+b \tan (e+f x))^{3/2} \sqrt {c+d \tan (e+f x)}} \, dx\) [1303]
\(\int \genfrac {}{}{}{}{1}{(a+b \tan (e+f x))^{5/2} \sqrt {c+d \tan (e+f x)}} \, dx\) [1304]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^{7/2}}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1305]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^{5/2}}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1306]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^{3/2}}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1307]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (e+f x)}}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1308]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \tan (e+f x)} (c+d \tan (e+f x))^{3/2}} \, dx\) [1309]
\(\int \genfrac {}{}{}{}{1}{(a+b \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{3/2}} \, dx\) [1310]
\(\int \genfrac {}{}{}{}{1}{(a+b \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{3/2}} \, dx\) [1311]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^{9/2}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1312]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^{7/2}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1313]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^{5/2}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1314]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^{3/2}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1315]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (e+f x)}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1316]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \tan (e+f x)} (c+d \tan (e+f x))^{5/2}} \, dx\) [1317]
\(\int \genfrac {}{}{}{}{1}{(a+b \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{5/2}} \, dx\) [1318]
\(\int \genfrac {}{}{}{}{1}{(a+b \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{5/2}} \, dx\) [1319]
\(\int (a+b \tan (e+f x))^m (c+d \tan (e+f x))^n \, dx\) [1320]
\(\int (a+b \tan (e+f x))^m (c+d \tan (e+f x))^3 \, dx\) [1321]
\(\int (a+b \tan (e+f x))^m (c+d \tan (e+f x))^2 \, dx\) [1322]
\(\int (a+b \tan (e+f x))^m (c+d \tan (e+f x)) \, dx\) [1323]
\(\int (a+b \tan (e+f x))^m \, dx\) [1324]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{c+d \tan (e+f x)} \, dx\) [1325]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{(c+d \tan (e+f x))^2} \, dx\) [1326]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{(c+d \tan (e+f x))^3} \, dx\) [1327]
\(\int (a+b \tan (e+f x))^m (c+d \tan (e+f x))^{3/2} \, dx\) [1328]
\(\int (a+b \tan (e+f x))^m \sqrt {c+d \tan (e+f x)} \, dx\) [1329]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1330]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1331]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1332]
\(\int (c (d \tan (e+f x))^p)^n (a+i a \tan (e+f x))^m \, dx\) [1333]
\(\int (c (d \tan (e+f x))^p)^n (a+i a \tan (e+f x))^3 \, dx\) [1334]
\(\int (c (d \tan (e+f x))^p)^n (a+i a \tan (e+f x))^2 \, dx\) [1335]
\(\int (c (d \tan (e+f x))^p)^n (a+i a \tan (e+f x)) \, dx\) [1336]
\(\int \genfrac {}{}{}{}{(c (d \tan (e+f x))^p)^n}{a+i a \tan (e+f x)} \, dx\) [1337]
\(\int \genfrac {}{}{}{}{(c (d \tan (e+f x))^p)^n}{(a+i a \tan (e+f x))^2} \, dx\) [1338]
\(\int (c (d \tan (e+f x))^p)^n (a+b \tan (e+f x))^m \, dx\) [1339]
\(\int (c (d \tan (e+f x))^p)^n (a+b \tan (e+f x))^3 \, dx\) [1340]
\(\int (c (d \tan (e+f x))^p)^n (a+b \tan (e+f x))^2 \, dx\) [1341]
\(\int (c (d \tan (e+f x))^p)^n (a+b \tan (e+f x)) \, dx\) [1342]
\(\int \genfrac {}{}{}{}{(c (d \tan (e+f x))^p)^n}{a+b \tan (e+f x)} \, dx\) [1343]
\(\int \genfrac {}{}{}{}{(c (d \tan (e+f x))^p)^n}{(a+b \tan (e+f x))^2} \, dx\) [1344]