Ответы параграфа 4

1360.x·ln |x| - x + C.
1361.
1362.
1363.
1364.x²·sin x + 2x cos x - 2 sin x + C.
1365.½·ex·(sin x - cos x) + C.
1367.x·[(ln |x| - 1)² + 1] + C.
1368.- x·ctg x + ln |sin x| + C.
1369.
1370.
1371.
1372.- e- x·(x³ + 3x² + 6x + 6) + C.
1373.x·ln(x² + 1) - 2·x + 2·arctg x + C.
1374.½·x·(cos ln x + sin ln x) + C.
1375.
1376.- 2·e-½·x·(x² + 4x + 8) + C.
1377.x·arctg x - ½·ln (1 + x²) + C.
1378.x·tg x + ln |cos x| + C.
1379.0,5·ex·(sin x + cos x) + C.
1380.
1381.
1382.