Solutions to 4 Math Problems: Derivatives & Integrals

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This is a followup post for all the problems i posted yesterday.. please check them all.. i believe i got the correct answers.. Thanks a lot.

1. Find the derivative:
http://img225.imageshack.us/img225/7261/der42complete4fy.gif

2. Find the integral:
http://img195.imageshack.us/img195/1766/int18complete2ua.gif

3. Find the integral:
http://img225.imageshack.us/img225/7525/int20complete0pr.gif

4. Find the integral:
http://img225.imageshack.us/img225/3107/int26complete9ld.gif
 
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Jacobpm64 said:
This is a followup post for all the problems i posted yesterday.. please check them all.. i believe i got the correct answers.. Thanks a lot.

1. Find the derivative:
http://img225.imageshack.us/img225/7261/der42complete4fy.gif
Before taking the derivative, the algebra is wrong. You must *divide* by x-2 whereas you multiplied by x-2. (I know that you were probably thinking of (-x-2) divided by (x*(x-1)/(x-2)) but what you have is instead (-x-2)/(x*(x-1)) divided by (x-2)
 
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Jacobpm64 said:
This is a followup post for all the problems i posted yesterday.. please check them all.. i believe i got the correct answers.. Thanks a lot.


The integrals are right (except that one would never write u^0/0 in the last one!)
 
ah, i forgot the reciprocal.. grr.. give me a few minutes.. i'll correct that and repost..
 
here is a fix on the derivative one.. is this right now?

http://img100.imageshack.us/img100/4594/der42complete1ag.gif
 
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Looks good.
 
Jacobpm64 said:
here is a fix on the derivative one.. is this right now?

http://img100.imageshack.us/img100/4594/der42complete1ag.gif
[/URL]

Looks right to me
 
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thanks :biggrin:
 
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