# Fun maclorein Problem i need help on

1. Jul 26, 2009

### SoulofLoneWlf

integrate from 0 -> 1
(1-cosx)/x dx

find maclorein approximation
this has been killing me any ideas??

2. Jul 26, 2009

### rock.freak667

3. Jul 26, 2009

### SoulofLoneWlf

well one of my issues atm that forgot to add on there is the first term is over zero isnt it? due to the lower bounds and the serious should be 1-1/2x^2 +1/24x^4...
if that helps you find where i am lost :)

4. Jul 26, 2009

### rock.freak667

so

$$cos(x)=1-\frac{x^2}{2!}+\frac{x^4}{4!}+...$$

what is 1-cos(x)? Then what is (1-cosx)/x ?