# Math Help - Finding a power series

1. ## Finding a power series

Find a power series representation of the integral of sinx/x from 0 to 1/4.

I have seen this done with polynomials, the trig function part is wigging me out though. Any help is thoroughly appreciated!

2. ## Re: Finding a power series

Originally Posted by bobsanchez
Find a power series representation of the integral of sinx/x from 0 to 1/4.

I have seen this done with polynomials, the trig function part is wigging me out though. Any help is thoroughly appreciated!
Start by writing the Power Series representation of sin(x), divide each term by x, then integrate term by term.

3. ## Re: Finding a power series

Originally Posted by Prove It
Start by writing the Power Series representation of sin(x), divide each term by x, then integrate term by term.
Thank you!

4. ## Re: Finding a power series

Also, how many terms are needed to approximate A with an error less than .0001?

5. ## Re: Finding a power series

Never mind, figured it out.