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3.13
Integrals 1201 to 1300
3.13.1
\(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx\) [1201]
3.13.2
\(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx\) [1202]
3.13.3
\(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx\) [1203]
3.13.4
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{\sqrt {d+e x^2}} \, dx\) [1204]
3.13.5
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x \sqrt {d+e x^2}} \, dx\) [1205]
3.13.6
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^2 \sqrt {d+e x^2}} \, dx\) [1206]
3.13.7
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^3 \sqrt {d+e x^2}} \, dx\) [1207]
3.13.8
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^4 \sqrt {d+e x^2}} \, dx\) [1208]
3.13.9
\(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))}{(d+e x^2)^{3/2}} \, dx\) [1209]
3.13.10
\(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))}{(d+e x^2)^{3/2}} \, dx\) [1210]
3.13.11
\(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))}{(d+e x^2)^{3/2}} \, dx\) [1211]
3.13.12
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x^2)^{3/2}} \, dx\) [1212]
3.13.13
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x (d+e x^2)^{3/2}} \, dx\) [1213]
3.13.14
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^2 (d+e x^2)^{3/2}} \, dx\) [1214]
3.13.15
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^3 (d+e x^2)^{3/2}} \, dx\) [1215]
3.13.16
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^4 (d+e x^2)^{3/2}} \, dx\) [1216]
3.13.17
\(\int \genfrac {}{}{}{}{x^4 (a+b \arctan (c x))}{(d+e x^2)^{5/2}} \, dx\) [1217]
3.13.18
\(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))}{(d+e x^2)^{5/2}} \, dx\) [1218]
3.13.19
\(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))}{(d+e x^2)^{5/2}} \, dx\) [1219]
3.13.20
\(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))}{(d+e x^2)^{5/2}} \, dx\) [1220]
3.13.21
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x^2)^{5/2}} \, dx\) [1221]
3.13.22
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x (d+e x^2)^{5/2}} \, dx\) [1222]
3.13.23
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^2 (d+e x^2)^{5/2}} \, dx\) [1223]
3.13.24
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^3 (d+e x^2)^{5/2}} \, dx\) [1224]
3.13.25
\(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^4 (d+e x^2)^{5/2}} \, dx\) [1225]
3.13.26
\(\int \genfrac {}{}{}{}{\arctan (a x)}{(c+d x^2)^{7/2}} \, dx\) [1226]
3.13.27
\(\int \genfrac {}{}{}{}{\arctan (a x)}{(c+d x^2)^{9/2}} \, dx\) [1227]
3.13.28
\(\int x^m (d+e x^2)^3 (a+b \arctan (c x)) \, dx\) [1228]
3.13.29
\(\int x^m (d+e x^2)^2 (a+b \arctan (c x)) \, dx\) [1229]
3.13.30
\(\int x^m (d+e x^2) (a+b \arctan (c x)) \, dx\) [1230]
3.13.31
\(\int \genfrac {}{}{}{}{x^m (a+b \arctan (c x))}{d+e x^2} \, dx\) [1231]
3.13.32
\(\int \genfrac {}{}{}{}{x^m (a+b \arctan (c x))}{(d+e x^2)^2} \, dx\) [1232]
3.13.33
\(\int x^m (d+e x^2)^{5/2} (a+b \arctan (c x)) \, dx\) [1233]
3.13.34
\(\int x^m (d+e x^2)^{3/2} (a+b \arctan (c x)) \, dx\) [1234]
3.13.35
\(\int x^m \sqrt {d+e x^2} (a+b \arctan (c x)) \, dx\) [1235]
3.13.36
\(\int \genfrac {}{}{}{}{x^m (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx\) [1236]
3.13.37
\(\int \genfrac {}{}{}{}{x^m (a+b \arctan (c x))}{(d+e x^2)^{3/2}} \, dx\) [1237]
3.13.38
\(\int \genfrac {}{}{}{}{x^m (a+b \arctan (c x))}{(d+e x^2)^{5/2}} \, dx\) [1238]
3.13.39
\(\int x^m (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1239]
3.13.40
\(\int x^{-2-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1240]
3.13.41
\(\int x^{-3-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1241]
3.13.42
\(\int x^{-4-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1242]
3.13.43
\(\int x^{-5-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1243]
3.13.44
\(\int x^{-6-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1244]
3.13.45
\(\int x^{-7-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1245]
3.13.46
\(\int x^{-8-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1246]
3.13.47
\(\int x^3 (d+e x^2) (a+b \arctan (c x))^2 \, dx\) [1247]
3.13.48
\(\int x^2 (d+e x^2) (a+b \arctan (c x))^2 \, dx\) [1248]
3.13.49
\(\int x (d+e x^2) (a+b \arctan (c x))^2 \, dx\) [1249]
3.13.50
\(\int (d+e x^2) (a+b \arctan (c x))^2 \, dx\) [1250]
3.13.51
\(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))^2}{x} \, dx\) [1251]
3.13.52
\(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))^2}{x^2} \, dx\) [1252]
3.13.53
\(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))^2}{x^3} \, dx\) [1253]
3.13.54
\(\int x^3 (d+e x^2)^2 (a+b \arctan (c x))^2 \, dx\) [1254]
3.13.55
\(\int x^2 (d+e x^2)^2 (a+b \arctan (c x))^2 \, dx\) [1255]
3.13.56
\(\int x (d+e x^2)^2 (a+b \arctan (c x))^2 \, dx\) [1256]
3.13.57
\(\int (d+e x^2)^2 (a+b \arctan (c x))^2 \, dx\) [1257]
3.13.58
\(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))^2}{x} \, dx\) [1258]
3.13.59
\(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))^2}{x^2} \, dx\) [1259]
3.13.60
\(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))^2}{x^3} \, dx\) [1260]
3.13.61
\(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))^2}{d+e x^2} \, dx\) [1261]
3.13.62
\(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))^2}{d+e x^2} \, dx\) [1262]
3.13.63
\(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))^2}{d+e x^2} \, dx\) [1263]
3.13.64
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{d+e x^2} \, dx\) [1264]
3.13.65
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x (d+e x^2)} \, dx\) [1265]
3.13.66
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x^2 (d+e x^2)} \, dx\) [1266]
3.13.67
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x^3 (d+e x^2)} \, dx\) [1267]
3.13.68
\(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))^2}{(d+e x^2)^2} \, dx\) [1268]
3.13.69
\(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))^2}{(d+e x^2)^2} \, dx\) [1269]
3.13.70
\(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))^2}{(d+e x^2)^2} \, dx\) [1270]
3.13.71
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{(d+e x^2)^2} \, dx\) [1271]
3.13.72
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x (d+e x^2)^2} \, dx\) [1272]
3.13.73
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x^2 (d+e x^2)^2} \, dx\) [1273]
3.13.74
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x^3 (d+e x^2)^2} \, dx\) [1274]
3.13.75
\(\int x^4 \arctan (x) \log (1+x^2) \, dx\) [1275]
3.13.76
\(\int x^3 \arctan (x) \log (1+x^2) \, dx\) [1276]
3.13.77
\(\int x^2 \arctan (x) \log (1+x^2) \, dx\) [1277]
3.13.78
\(\int x \arctan (x) \log (1+x^2) \, dx\) [1278]
3.13.79
\(\int \arctan (x) \log (1+x^2) \, dx\) [1279]
3.13.80
\(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x} \, dx\) [1280]
3.13.81
\(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x^2} \, dx\) [1281]
3.13.82
\(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x^3} \, dx\) [1282]
3.13.83
\(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x^4} \, dx\) [1283]
3.13.84
\(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x^5} \, dx\) [1284]
3.13.85
\(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x^6} \, dx\) [1285]
3.13.86
\(\int x^4 (a+b \arctan (c x)) (d+e \log (1+c^2 x^2)) \, dx\) [1286]
3.13.87
\(\int x^3 (a+b \arctan (c x)) (d+e \log (1+c^2 x^2)) \, dx\) [1287]
3.13.88
\(\int x^2 (a+b \arctan (c x)) (d+e \log (1+c^2 x^2)) \, dx\) [1288]
3.13.89
\(\int x (a+b \arctan (c x)) (d+e \log (1+c^2 x^2)) \, dx\) [1289]
3.13.90
\(\int (a+b \arctan (c x)) (d+e \log (1+c^2 x^2)) \, dx\) [1290]
3.13.91
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x} \, dx\) [1291]
3.13.92
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x^2} \, dx\) [1292]
3.13.93
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x^3} \, dx\) [1293]
3.13.94
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x^4} \, dx\) [1294]
3.13.95
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x^5} \, dx\) [1295]
3.13.96
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x^6} \, dx\) [1296]
3.13.97
\(\int x (a+b \arctan (c x)) (d+e \log (f+g x^2)) \, dx\) [1297]
3.13.98
\(\int (a+b \arctan (c x)) (d+e \log (f+g x^2)) \, dx\) [1298]
3.13.99
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (f+g x^2))}{x} \, dx\) [1299]
3.13.100
\(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (f+g x^2))}{x^2} \, dx\) [1300]
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