## anonymous 5 years ago ∫(sinx)/x dx= (limits 0 to x)

1. watchmath

The result can't be expressed in terms of elementary functions.

2. watchmath

The result is Si(x) :D Check out here: http://press.princeton.edu/books/maor/chapter_10.pdf

3. amistre64
4. anonymous

the solution can be written as an infinite sum too if you want.

5. anonymous

$\sum_{n=0}^{\infty}\frac{x^{2n+1}(-1)^{n}}{(2n+1)^{2}(2n)!}$

6. anonymous

use the series expansion of sin(x), divide out x, bring the integral into the summation. It is the same as Si(x)