Question

∫(sinx)/x dx= (limits 0 to x)

Answer 1

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

Answer 2

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

Answer 3

Si(x) lol http://www.wolframalpha.com/input/?i=int%28sin%28x%29%2Fx%29dx+from+0+to+x

Answer 4

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

Answer 5

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

Answer 6

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