# Math Help - maclaurin expansion

1. ## maclaurin expansion

expand f(x)= xcosx

up to x^3

differentiating many times my expansion is

to find an approximate value for

do I just plug in the limit values and evaluate as below?

2. must I integrate first?

3. First of all, since this is clearly a calculus question, why have you posted in pre-calculus?

Now you need to evaluate $\displaystyle \int{x - \frac{x^3}{2}\,dx}$ and then substitute the limits.