76 Uzupełnienia, i odpowiedzi
31. |
_Ie-*2 2 e |
32. |
—e1/*. |
3.3 | |
33. |
\ ln(e2x + 1). |
34. |
|ln(e2u + e-2“). |
1. |
2. |
35. |
§(x+§)(*-2)*/’. |
36. |
i(»-4)(«+l)3/2. |
5. SS. |
6. |
37. |
— In | cos x|. |
38. |
I(ln|5x|)2. |
9. iln^. |
10. |
39. |
x — 21n |x + 2\. |
40. |
| ln |x + 1| + |ln|x — 2|. |
13. 9. |
14. |
41. |
— \ cos(2x2 + 1). |
42. |
2y/l + sin x. |
17 — |
18. |
43. |
In |a;2 + 3x — 2|. |
44. |
1 |
21. 6. |
22. |
2 cos2 x' | |||||
45. |
— 7 ln la + frcosaH. b |
46. |
gsinx |
1 25. 3 |
26. |
47. |
cos x — sin x. |
48. |
|tg3x. | ||
49. |
tg x — X. |
50. |
sin x — |sin3 x. | ||
51. |
x + \ cos 2x. |
52. |
ln |x + yJx2 + 4|. | ||
53. |
1 a(ax + b) ’ |
54. |
±2\/2cos | ||
55. |
1 1 |
56. |
1 2 — cos V. 2 | ||
4 cos4 x cos2x nlCOljXl' | |||||
57. |
4^2 (sin | \ sin3 |
58. |
-2x (f + l). | ||
59. |
3x — |x-^/x. |
60. |
_(x + f^/3 + 1*5/3). | ||
61. |
|x3 — |x2 + x. |
62. |
^x3 + x2 + 4x. | ||
63. |
3x + |x2. |
64. |
6t7/6 _ 4 5/4 7X 5 | ||
B. | |||||
1. |
§(3x - l)e3x. |
2. |
x sin x + cos x. | ||
3. |
Iz-y^ln X — |). |
4. |
yjr(3x2 - 4)(x2 + 2)3/2. | ||
5. |
— |(2x + l)e-(2l+3). |
6. |
|x2 [ln x(ln x - 1) + |] . | ||
7. |
g(x2 + 2)y/x2 — 1. |
8. |
i(5x-2)(x + 2)5. | ||
9. |
| cos 5x (^r — x2) + ^x sin 5x. | ||||
10. |
- ^(3 cos 3x + 2 sin 3x)e-2x. |
11. |
|x2(21n2x — 1). |
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