Quick integration help

[RESmonkey]

Integrate (x/x+1) from 0 to 3.

I can't get it...I tried integration by parts, too. the answers are:

a. 2 ln 2
b. 6 ln 2
c. 3 - 2ln2
d. # + 2ln2
e. 3 + ln3

Thanks

 

[KillerCharlie]

Partial fractions make it really easy.

Edit: Maybe they're not partial fractions, I'm not sure (it's been a loooong time), but there's a much better way to write x/(x+1).

Edit2: Yes, partial fractions.

 

[RESmonkey]

I tried that. Did you have to change it around before doing partial fractions? I'm gonna try multiplying the thing by x-1.

 

[KillerCharlie]

http://en.wikipedia.org/wiki/Partial_fraction

See the first example

 

[invidia]

I would just end up using http://en.wikipedia.org/wiki/L..._of_rational_functions

 

[RESmonkey]

Got it, thanks guys.

 

[OdiN]

I thought this thread was going to be about integration.

Instead, I come in here and there's MATH!