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ГШ
Ген Шап
671
1. -(4 - 3x^7)^(6/7) / 18 + C.
2. 7^2^x / (ln(2) * ln(7)) + C.
3. -(cos(x))^4 / 4 + C.
4. -1 / cos(x) + C.
5. -3 ^ (-x^3 - 1) / ln(3) + C.
6. -4 ^ (1 - 4x) / ln(2) + C.
7. 0.4x^2.5 + x^2 / 2 - x * sin(2x) / 2 - cos(2x) / 4 + C.
8. 1 / sin((x + 1) / (2 * sqrt(2))) + C.
9. (ln(-3x+sqrt(6)-3) - ln(3x+sqrt(6)+3)) / (2 * sqrt(6)) + C.
10. (ln(x^2+4x+5) + 1 / tg(x + 2)) / 2 + C.
11. (2 * ln(x) - ln(2 - x)) / 3 + C.
12. 4 / sin((-x - 1) / sqrt(6)) - sqrt(-x^2 - 2x + 5) + C.
13. 6 * sqrt(x^2 + 2x + 5) + 1 / sinh((x + 1) / 2) + C.
14. -x^2 / 2 - 4x * ctg(x / 4) + 16 * ln(sin(x / 4)) + C.
15. 6 * sqrt(x^2 + 2x + 5) + 1 / sinh((x + 1) / 2) + C.
16. -(ln(x) + 1) / 2x^2 + C.
17. (18x^2 - 1) * sin(6x) / 108 + x * cos(6x) / 18 + C.
18. -(x - x * ln(x - 1) + ln(1 - x)) / ln(3) + C.
19. ((49x^2 + 1) / tg(7x) - 7x) / 98 + C.
20. (sin(3x) - 3x * cos(3x)) / 9 + C.
21. 2 /(x + 6) + ln(x + 4) + C.
22. (24 / (2x + 3) - 8 * ln(x^2 + 4x + 6) + 16 * ln(2x + 3) + 5 * sqrt(2) / tg((x + 2) / sqrt(2))) / 6 + C.
23. 79 / (x + 6) + 15 * ln(x+ 4) - 8 * ln(x + 6) + C.
24. -3 * ln(x^2 + 9) + 1.5 * ln(x^2 - 4x + 9) + 4 / (sqrt(5) * tg((x - 2) / sqrt(5)) + 1 / (3 * tg(x / 3))) + C.
25. x * (x^2 - 9x + 78) / 3 - 47 * ln(x^2 + 6x + 10) + 22 / tg(x + 3) + C.
26. (4x + 3)^1.5 * (22x + 30 * (4x + 3)^(1/3) - 11) / 220 + C.
27. x / sqrt(9 - x^2) - 1 / sin(x / 3) + C.
28. ((2x + 1) / (2x - 1))^(1/3) * (-2 * (2 - 1 / x)^(1/3) * (1 / x + 2)^(2/3) + 12x^2 - 3) / (3x * (2x + 1)) + C.
29. (3x + 2)^(4/3) / 12 - 4 * (3x + 2)^(7/6) / 21 + (12x + 8) / 9 - 16 * (3x + 2)^(5/6) / 15 + 8 * (3x + 2)^(2/3) / 3 - 64 * sqrt(3x + 2) / 9 + 59 * (3x + 2)^(1/3) / 3 - 236 * (3x + 2)^(1/6) / 3 + 472 * ln((3x + 2)^(1/6) + 2) / 3 + C.
30. cos(6x) / 24 -11 * cos(2x) / 8 + (sec(2x))^3 / 6 - 1.5 * sec(2x) + C.
31. 1 / (sqrt(11) * tg((4 * tg(x) + 1) / sqrt(11))) + C.
32. x / 16 + (sin(4x) - sin(8x)) / 128 - sin(12x) + C.
33. 2 / (sqrt(7) * tg((4 * tg(x / 2) + 3) / sqrt(7))) + C.
34. (5 * cos(2x + 3) - cos(10x + 1)) / 20 + C.
35. -x - 46 * ctg(2.5x) / 75 - 2 * ctg(2.5x) * (cosec(2.5x))^4 / 25 + 22 * ctg(2.5x) * (cosec(2.5x))^2 / 75 + C.
LP
Leonid Pichienko
44 528
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