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### How to find $\int\frac{\sin x}{x}dx$

How do I integrate $$\int\frac{\sin(x)}xdx$$? I tried using integration by parts, but it led me to nowhere. Please help.
### integrate $F(x)$: NO complex analysis, NO multivariable calculus
Suppose I have an elementary function $F(x)$ for which $\int_{-\infty}^\infty F(x) \, \text{d}x$ has an elementary value. Here 'elementary value' means anything generated by \$0,1,+,-,\div,\times,\exp,...