3.13 Integrals 1201 to 1300

\(\int \genfrac {}{}{}{}{x^2 \sqrt {-1+3 x^2}}{\sqrt {2-3 x^2}} \, dx\) [1201]
\(\int \genfrac {}{}{}{}{x \sqrt {-1+3 x^2}}{\sqrt {2-3 x^2}} \, dx\) [1202]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {2+b x^2}}{\sqrt {3+d x^2}} \, dx\) [1203]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1204]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1205]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1206]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1207]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1208]
\(\int \genfrac {}{}{}{}{1}{x^5 \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1209]
\(\int \genfrac {}{}{}{}{x^6}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1210]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1211]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1212]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1213]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [1214]
\(\int \genfrac {}{}{}{}{x^5}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [1215]
\(\int \genfrac {}{}{}{}{x^3}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [1216]
\(\int \genfrac {}{}{}{}{x}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [1217]
\(\int \genfrac {}{}{}{}{x^5}{(a+b x^2)^{5/2} \sqrt {c+d x^2}} \, dx\) [1218]
\(\int \genfrac {}{}{}{}{x^3}{(a+b x^2)^{5/2} \sqrt {c+d x^2}} \, dx\) [1219]
\(\int \genfrac {}{}{}{}{x}{(a+b x^2)^{5/2} \sqrt {c+d x^2}} \, dx\) [1220]
\(\int \genfrac {}{}{}{}{x^5}{(a+b x^2)^{7/2} \sqrt {c+d x^2}} \, dx\) [1221]
\(\int \genfrac {}{}{}{}{x^3}{(a+b x^2)^{7/2} \sqrt {c+d x^2}} \, dx\) [1222]
\(\int \genfrac {}{}{}{}{x}{(a+b x^2)^{7/2} \sqrt {c+d x^2}} \, dx\) [1223]
\(\int \genfrac {}{}{}{}{x^5}{(a+b x^2)^{9/2} \sqrt {c+d x^2}} \, dx\) [1224]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a-b x^2} \sqrt {c+d x^2}} \, dx\) [1225]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a-b x^2} \sqrt {c-d x^2}} \, dx\) [1226]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {2+b x^2} \sqrt {3+d x^2}} \, dx\) [1227]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {4-x^2} \sqrt {c+d x^2}} \, dx\) [1228]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {4+x^2} \sqrt {c+d x^2}} \, dx\) [1229]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-x^2} \sqrt {2+3 x^2}} \, dx\) [1230]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {2-3 x^2} \sqrt {1-x^2}} \, dx\) [1231]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {4-x^2} \sqrt {2+3 x^2}} \, dx\) [1232]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {2-3 x^2} \sqrt {4-x^2}} \, dx\) [1233]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-4 x^2} \sqrt {2+3 x^2}} \, dx\) [1234]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-4 x^2} \sqrt {2-3 x^2}} \, dx\) [1235]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {2-3 x^2} \sqrt {1+x^2}} \, dx\) [1236]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {2-3 x^2} \sqrt {4+x^2}} \, dx\) [1237]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {2-3 x^2} \sqrt {1+4 x^2}} \, dx\) [1238]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1+x^2} \sqrt {2+3 x^2}} \, dx\) [1239]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {4+x^2} \sqrt {2+3 x^2}} \, dx\) [1240]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {2+3 x^2} \sqrt {1+4 x^2}} \, dx\) [1241]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-x^2} \sqrt {-1+2 x^2}} \, dx\) [1242]
\(\int \genfrac {}{}{}{}{x^6}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [1243]
\(\int \genfrac {}{}{}{}{x^4}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [1244]
\(\int \genfrac {}{}{}{}{x^2}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [1245]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [1246]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [1247]
\(\int \genfrac {}{}{}{}{1}{x^4 (a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [1248]
\(\int \genfrac {}{}{}{}{1}{x^6 (a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [1249]
\(\int x^5 \sqrt {1-b x^2} \sqrt {1+b x^2} \, dx\) [1250]
\(\int x^3 \sqrt {1-b x^2} \sqrt {1+b x^2} \, dx\) [1251]
\(\int x \sqrt {1-b x^2} \sqrt {1+b x^2} \, dx\) [1252]
\(\int \genfrac {}{}{}{}{\sqrt {1-b x^2} \sqrt {1+b x^2}}{x} \, dx\) [1253]
\(\int \genfrac {}{}{}{}{\sqrt {1-b x^2} \sqrt {1+b x^2}}{x^3} \, dx\) [1254]
\(\int x^2 \sqrt {1-b x^2} \sqrt {1+b x^2} \, dx\) [1255]
\(\int \sqrt {1-b x^2} \sqrt {1+b x^2} \, dx\) [1256]
\(\int \genfrac {}{}{}{}{\sqrt {1-b x^2} \sqrt {1+b x^2}}{x^2} \, dx\) [1257]
\(\int \genfrac {}{}{}{}{\sqrt {1-b x^2} \sqrt {1+b x^2}}{x^4} \, dx\) [1258]
\(\int x^5 (1-b x^2)^{3/2} (1+b x^2)^{3/2} \, dx\) [1259]
\(\int x^3 (1-b x^2)^{3/2} (1+b x^2)^{3/2} \, dx\) [1260]
\(\int x (1-b x^2)^{3/2} (1+b x^2)^{3/2} \, dx\) [1261]
\(\int \genfrac {}{}{}{}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}}{x} \, dx\) [1262]
\(\int \genfrac {}{}{}{}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}}{x^3} \, dx\) [1263]
\(\int x^2 (1-b x^2)^{3/2} (1+b x^2)^{3/2} \, dx\) [1264]
\(\int (1-b x^2)^{3/2} (1+b x^2)^{3/2} \, dx\) [1265]
\(\int \genfrac {}{}{}{}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}}{x^2} \, dx\) [1266]
\(\int \genfrac {}{}{}{}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}}{x^4} \, dx\) [1267]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1268]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1269]
\(\int \genfrac {}{}{}{}{x}{\sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1270]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1271]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1272]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1273]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1274]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1275]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1276]
\(\int \genfrac {}{}{}{}{x^5}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1277]
\(\int \genfrac {}{}{}{}{x^3}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1278]
\(\int \genfrac {}{}{}{}{x}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1279]
\(\int \genfrac {}{}{}{}{1}{x (1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1280]
\(\int \genfrac {}{}{}{}{1}{x^3 (1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1281]
\(\int \genfrac {}{}{}{}{x^2}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1282]
\(\int \genfrac {}{}{}{}{1}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1283]
\(\int \genfrac {}{}{}{}{1}{x^2 (1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1284]
\(\int \genfrac {}{}{}{}{1}{x^4 (1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1285]
\(\int x^{11} \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1286]
\(\int x^7 \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1287]
\(\int x^3 \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1288]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x} \, dx\) [1289]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^5} \, dx\) [1290]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^9} \, dx\) [1291]
\(\int x^9 \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1292]
\(\int x^5 \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1293]
\(\int x \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1294]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^3} \, dx\) [1295]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^7} \, dx\) [1296]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^{11}} \, dx\) [1297]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^{15}} \, dx\) [1298]
\(\int x^4 \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1299]
\(\int \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1300]