3.13 Integrals 1201 to 1300

   \(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx\) [1201]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx\) [1202]
   \(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx\) [1203]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{\sqrt {d+e x^2}} \, dx\) [1204]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x \sqrt {d+e x^2}} \, dx\) [1205]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^2 \sqrt {d+e x^2}} \, dx\) [1206]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^3 \sqrt {d+e x^2}} \, dx\) [1207]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^4 \sqrt {d+e x^2}} \, dx\) [1208]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))}{(d+e x^2)^{3/2}} \, dx\) [1209]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))}{(d+e x^2)^{3/2}} \, dx\) [1210]
   \(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))}{(d+e x^2)^{3/2}} \, dx\) [1211]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x^2)^{3/2}} \, dx\) [1212]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x (d+e x^2)^{3/2}} \, dx\) [1213]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^2 (d+e x^2)^{3/2}} \, dx\) [1214]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^3 (d+e x^2)^{3/2}} \, dx\) [1215]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^4 (d+e x^2)^{3/2}} \, dx\) [1216]
   \(\int \genfrac {}{}{}{}{x^4 (a+b \arctan (c x))}{(d+e x^2)^{5/2}} \, dx\) [1217]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))}{(d+e x^2)^{5/2}} \, dx\) [1218]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))}{(d+e x^2)^{5/2}} \, dx\) [1219]
   \(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))}{(d+e x^2)^{5/2}} \, dx\) [1220]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x^2)^{5/2}} \, dx\) [1221]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x (d+e x^2)^{5/2}} \, dx\) [1222]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^2 (d+e x^2)^{5/2}} \, dx\) [1223]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^3 (d+e x^2)^{5/2}} \, dx\) [1224]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^4 (d+e x^2)^{5/2}} \, dx\) [1225]
   \(\int \genfrac {}{}{}{}{\arctan (a x)}{(c+d x^2)^{7/2}} \, dx\) [1226]
   \(\int \genfrac {}{}{}{}{\arctan (a x)}{(c+d x^2)^{9/2}} \, dx\) [1227]
   \(\int x^m (d+e x^2)^3 (a+b \arctan (c x)) \, dx\) [1228]
   \(\int x^m (d+e x^2)^2 (a+b \arctan (c x)) \, dx\) [1229]
   \(\int x^m (d+e x^2) (a+b \arctan (c x)) \, dx\) [1230]
   \(\int \genfrac {}{}{}{}{x^m (a+b \arctan (c x))}{d+e x^2} \, dx\) [1231]
   \(\int \genfrac {}{}{}{}{x^m (a+b \arctan (c x))}{(d+e x^2)^2} \, dx\) [1232]
   \(\int x^m (d+e x^2)^{5/2} (a+b \arctan (c x)) \, dx\) [1233]
   \(\int x^m (d+e x^2)^{3/2} (a+b \arctan (c x)) \, dx\) [1234]
   \(\int x^m \sqrt {d+e x^2} (a+b \arctan (c x)) \, dx\) [1235]
   \(\int \genfrac {}{}{}{}{x^m (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx\) [1236]
   \(\int \genfrac {}{}{}{}{x^m (a+b \arctan (c x))}{(d+e x^2)^{3/2}} \, dx\) [1237]
   \(\int \genfrac {}{}{}{}{x^m (a+b \arctan (c x))}{(d+e x^2)^{5/2}} \, dx\) [1238]
   \(\int x^m (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1239]
   \(\int x^{-2-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1240]
   \(\int x^{-3-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1241]
   \(\int x^{-4-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1242]
   \(\int x^{-5-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1243]
   \(\int x^{-6-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1244]
   \(\int x^{-7-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1245]
   \(\int x^{-8-2 p} (d+e x^2)^p (a+b \arctan (c x)) \, dx\) [1246]
   \(\int x^3 (d+e x^2) (a+b \arctan (c x))^2 \, dx\) [1247]
   \(\int x^2 (d+e x^2) (a+b \arctan (c x))^2 \, dx\) [1248]
   \(\int x (d+e x^2) (a+b \arctan (c x))^2 \, dx\) [1249]
   \(\int (d+e x^2) (a+b \arctan (c x))^2 \, dx\) [1250]
   \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))^2}{x} \, dx\) [1251]
   \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))^2}{x^2} \, dx\) [1252]
   \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))^2}{x^3} \, dx\) [1253]
   \(\int x^3 (d+e x^2)^2 (a+b \arctan (c x))^2 \, dx\) [1254]
   \(\int x^2 (d+e x^2)^2 (a+b \arctan (c x))^2 \, dx\) [1255]
   \(\int x (d+e x^2)^2 (a+b \arctan (c x))^2 \, dx\) [1256]
   \(\int (d+e x^2)^2 (a+b \arctan (c x))^2 \, dx\) [1257]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))^2}{x} \, dx\) [1258]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))^2}{x^2} \, dx\) [1259]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))^2}{x^3} \, dx\) [1260]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))^2}{d+e x^2} \, dx\) [1261]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))^2}{d+e x^2} \, dx\) [1262]
   \(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))^2}{d+e x^2} \, dx\) [1263]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{d+e x^2} \, dx\) [1264]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x (d+e x^2)} \, dx\) [1265]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x^2 (d+e x^2)} \, dx\) [1266]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x^3 (d+e x^2)} \, dx\) [1267]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))^2}{(d+e x^2)^2} \, dx\) [1268]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))^2}{(d+e x^2)^2} \, dx\) [1269]
   \(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))^2}{(d+e x^2)^2} \, dx\) [1270]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{(d+e x^2)^2} \, dx\) [1271]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x (d+e x^2)^2} \, dx\) [1272]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x^2 (d+e x^2)^2} \, dx\) [1273]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x))^2}{x^3 (d+e x^2)^2} \, dx\) [1274]
   \(\int x^4 \arctan (x) \log (1+x^2) \, dx\) [1275]
   \(\int x^3 \arctan (x) \log (1+x^2) \, dx\) [1276]
   \(\int x^2 \arctan (x) \log (1+x^2) \, dx\) [1277]
   \(\int x \arctan (x) \log (1+x^2) \, dx\) [1278]
   \(\int \arctan (x) \log (1+x^2) \, dx\) [1279]
   \(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x} \, dx\) [1280]
   \(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x^2} \, dx\) [1281]
   \(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x^3} \, dx\) [1282]
   \(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x^4} \, dx\) [1283]
   \(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x^5} \, dx\) [1284]
   \(\int \genfrac {}{}{}{}{\arctan (x) \log (1+x^2)}{x^6} \, dx\) [1285]
   \(\int x^4 (a+b \arctan (c x)) (d+e \log (1+c^2 x^2)) \, dx\) [1286]
   \(\int x^3 (a+b \arctan (c x)) (d+e \log (1+c^2 x^2)) \, dx\) [1287]
   \(\int x^2 (a+b \arctan (c x)) (d+e \log (1+c^2 x^2)) \, dx\) [1288]
   \(\int x (a+b \arctan (c x)) (d+e \log (1+c^2 x^2)) \, dx\) [1289]
   \(\int (a+b \arctan (c x)) (d+e \log (1+c^2 x^2)) \, dx\) [1290]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x} \, dx\) [1291]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x^2} \, dx\) [1292]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x^3} \, dx\) [1293]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x^4} \, dx\) [1294]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x^5} \, dx\) [1295]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (1+c^2 x^2))}{x^6} \, dx\) [1296]
   \(\int x (a+b \arctan (c x)) (d+e \log (f+g x^2)) \, dx\) [1297]
   \(\int (a+b \arctan (c x)) (d+e \log (f+g x^2)) \, dx\) [1298]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (f+g x^2))}{x} \, dx\) [1299]
   \(\int \genfrac {}{}{}{}{(a+b \arctan (c x)) (d+e \log (f+g x^2))}{x^2} \, dx\) [1300]