Can some one show me how to do dy/dx?

[yaho8888]

What is the Integral of 1/((x+5)^2(x-1)) AND (x^3)/(x^2+1) ?

I only need some one to show me an example!

Show Detail and Steps Please!

Thank to all !

 

[yaho8888]

I know I need to use partial fractions but I am stuck on those two

 

[Mindscrape]

Do you mean integral or derivative? Your topic title says derivative, but you say integral.

 

[yaho8888]

OH the Integral

 

[yaho8888]

The Integral Drive me Crazy!

 

[Mindscrape]

Alright, I can't do the homework for you, so you are going to have to take a leap somewhere.

Just remember that you want to take some fraction and decompose it into two separate fractions, the reverse of simplification.

 

[yaho8888]

1/((x+5)(x+5)(x+1)) and other one no idea
This is not homework, just want to know how to do it!

 

[yaho8888]

<tex> 1 \overline {(x+5)(x+5)(x+1)} <\tex>

 

[Mindscrape]

Okay, so you know that with partial fractions the fraction you made for the first one can be decomposed into some form

$$\frac{1}{(x+5)^2 (x+1)} = \frac{A}{x+1} + \frac{B}{(x+5)} + \frac{C}{(x+5)^2}$$

Use some kind of technique to find the coefficients, linear algebra makes it very easy.

Try this site for some examples:
http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/partialfracdirectory/PartialFrac.html

 

[mace2]

To do partial fractions for the second one the degree of the numerator has to be less than the degree of the denominator I believe... So divide first, then go from there.

 

[yaho8888]

Thanks Guys!