3.14 Integrals 1301 to 1328

3.14.1 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \tan (e+f x)} (c+d \tan (e+f x))^{5/2}} \, dx\) [1301]
3.14.2 \(\int \genfrac {}{}{}{}{1}{(a+b \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{5/2}} \, dx\) [1302]
3.14.3 \(\int \genfrac {}{}{}{}{1}{(a+b \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{5/2}} \, dx\) [1303]
3.14.4 \(\int (a+b \tan (e+f x))^m (c+d \tan (e+f x))^n \, dx\) [1304]
3.14.5 \(\int (a+b \tan (e+f x))^m (c+d \tan (e+f x))^3 \, dx\) [1305]
3.14.6 \(\int (a+b \tan (e+f x))^m (c+d \tan (e+f x))^2 \, dx\) [1306]
3.14.7 \(\int (a+b \tan (e+f x))^m (c+d \tan (e+f x)) \, dx\) [1307]
3.14.8 \(\int (a+b \tan (e+f x))^m \, dx\) [1308]
3.14.9 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{c+d \tan (e+f x)} \, dx\) [1309]
3.14.10 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{(c+d \tan (e+f x))^2} \, dx\) [1310]
3.14.11 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{(c+d \tan (e+f x))^3} \, dx\) [1311]
3.14.12 \(\int (a+b \tan (e+f x))^m (c+d \tan (e+f x))^{3/2} \, dx\) [1312]
3.14.13 \(\int (a+b \tan (e+f x))^m \sqrt {c+d \tan (e+f x)} \, dx\) [1313]
3.14.14 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1314]
3.14.15 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1315]
3.14.16 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^m}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1316]
3.14.17 \(\int (c (d \tan (e+f x))^p)^n (a+i a \tan (e+f x))^m \, dx\) [1317]
3.14.18 \(\int (c (d \tan (e+f x))^p)^n (a+i a \tan (e+f x))^3 \, dx\) [1318]
3.14.19 \(\int (c (d \tan (e+f x))^p)^n (a+i a \tan (e+f x))^2 \, dx\) [1319]
3.14.20 \(\int (c (d \tan (e+f x))^p)^n (a+i a \tan (e+f x)) \, dx\) [1320]
3.14.21 \(\int \genfrac {}{}{}{}{(c (d \tan (e+f x))^p)^n}{a+i a \tan (e+f x)} \, dx\) [1321]
3.14.22 \(\int \genfrac {}{}{}{}{(c (d \tan (e+f x))^p)^n}{(a+i a \tan (e+f x))^2} \, dx\) [1322]
3.14.23 \(\int (c (d \tan (e+f x))^p)^n (a+b \tan (e+f x))^m \, dx\) [1323]
3.14.24 \(\int (c (d \tan (e+f x))^p)^n (a+b \tan (e+f x))^3 \, dx\) [1324]
3.14.25 \(\int (c (d \tan (e+f x))^p)^n (a+b \tan (e+f x))^2 \, dx\) [1325]
3.14.26 \(\int (c (d \tan (e+f x))^p)^n (a+b \tan (e+f x)) \, dx\) [1326]
3.14.27 \(\int \genfrac {}{}{}{}{(c (d \tan (e+f x))^p)^n}{a+b \tan (e+f x)} \, dx\) [1327]
3.14.28 \(\int \genfrac {}{}{}{}{(c (d \tan (e+f x))^p)^n}{(a+b \tan (e+f x))^2} \, dx\) [1328]