| Thread Closed |
Integration by trig. substitution |
Share Thread | Thread Tools |
| May16-05, 07:59 PM | #1 |
|
|
Integration by trig. substitution
Hello everyone
I have an exam tomorrow and I would really appreciate if someone could tell me what I did wrong with this exercice. I did it on paper and I scanned it. Here is the link to the scan: The answer in the book is sqrt(x^2 + x +5/4) + 2ln(sqrt(x^2 + 2x + 2) + x +1) + C http://img223.echo.cx/img223/8425/problem490012al.jpg It is hosted on imageshack.us download it and open it in windows so you can change the zoom size for better viewing Thanks a lot in advance !! |
| PhysOrg.com |
science news on PhysOrg.com >> Hong Kong launches first electric taxis >> Morocco to harness the wind in energy hunt >> Galaxy's Ring of Fire |
| May16-05, 08:02 PM | #2 |
|
|
If u = x + 1, where does u + 1 come from? That is just the first thing I saw, it may lead to your other problems.
|
| May16-05, 08:04 PM | #3 |
|
|
It should be "u+2" in the numerator after doing the first sub.
Daniel. |
| May16-05, 08:29 PM | #4 |
|
|
Integration by trig. substitution |
| May16-05, 08:40 PM | #5 |
|
|
When translating from theta back to x, you mistranslated sec(t).
Next to the triangle you have [tex] sec(\theta) = \frac{1}{\cos(\theta)} = \frac{1}{u} [/tex] cos(theta) is not u, try looking at it again. |
| May16-05, 08:45 PM | #6 |
|
|
|
| Thread Closed |
| Thread Tools | |
Similar Threads for: Integration by trig. substitution
|
||||
| Thread | Forum | Replies | ||
| Integration using Trig Substitution | Calculus & Beyond Homework | 9 | ||
| trig substitution (integration) | Calculus & Beyond Homework | 3 | ||
| Please Help with Trig Substitution Integration | Calculus & Beyond Homework | 8 | ||
| Integration: Trig Substitution | Calculus | 7 | ||
| Trig Substitution with Integration | Introductory Physics Homework | 24 | ||