Supplementary Problems 1. (5л — 3)100 dr | (r – - 3)1/4 dæ 2. 3. + x dx | (8r – 3) (4x² – 3z) dx 3x)i dx 4. 5. dx 1 – 4x²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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AntiDifferentiati...
Supplementary Problems
(5х — 3)100 dx
e4x+1
- dx
e2x - 1
1.
17.
e-2x
2.
(x -
3)1/4 dx
18.
dx
- 1
e-2x
5
x2 +
2
| 27*+* dx
3.
+ x
dx
19.
(82 – 3) (4x² – 3x) dæ
4.
20.
77z-7
dx
4x2
| 3-+(12, – 4) dæ
5.
21.
VI
6.
dx
1117-3x+cosr
* (726
- 3 - sin
22.
V3 – 5x2
7. Savr – I dx
23. ſ cos4 x sin x dx
8.
x²
1 da
scª æ cot³ x dx
24.
1
dx
5x + 1
9.
25.
a sec (2²) tan(2?) dæ
dx
10.
3x + 9
26.
| sin? x dx (Hint : cos(2x)
4x – 6
dx
(х — 1) (х — 2)
11.
1
dx
1)2
27.
- (r
4.x – 4
dx
х (х — 2)
12.
1
d.x
9x2 + 25
28.
13.
dx
dx
x/(In(x))³
29.
x In r/(In x)2 – 36
3
14.
dx
1
30.
(x – 1) /(In (x+
- 1))"
dx
V4 – 4
dx
15.
2-5x dx
31.
V7+ 6x – x²
8x +1
(2æ – 3) e²² -3# dx
32.
dx
4г2 + 12х + 10
16.
...
Transcribed Image Text:AntiDifferentiati... Supplementary Problems (5х — 3)100 dx e4x+1 - dx e2x - 1 1. 17. e-2x 2. (x - 3)1/4 dx 18. dx - 1 e-2x 5 x2 + 2 | 27*+* dx 3. + x dx 19. (82 – 3) (4x² – 3x) dæ 4. 20. 77z-7 dx 4x2 | 3-+(12, – 4) dæ 5. 21. VI 6. dx 1117-3x+cosr * (726 - 3 - sin 22. V3 – 5x2 7. Savr – I dx 23. ſ cos4 x sin x dx 8. x² 1 da scª æ cot³ x dx 24. 1 dx 5x + 1 9. 25. a sec (2²) tan(2?) dæ dx 10. 3x + 9 26. | sin? x dx (Hint : cos(2x) 4x – 6 dx (х — 1) (х — 2) 11. 1 dx 1)2 27. - (r 4.x – 4 dx х (х — 2) 12. 1 d.x 9x2 + 25 28. 13. dx dx x/(In(x))³ 29. x In r/(In x)2 – 36 3 14. dx 1 30. (x – 1) /(In (x+ - 1))" dx V4 – 4 dx 15. 2-5x dx 31. V7+ 6x – x² 8x +1 (2æ – 3) e²² -3# dx 32. dx 4г2 + 12х + 10 16. ...
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