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**A Trigonometric Integral**

I'm trying to find

[tex]\int_3^x \frac{\sin t}{t}dt[/tex]

I can't find its indefinite integral:

So I'm trying to use

[tex]F(x)=\int_3^x\frac{\sin t}{t}dt[/tex]

and solve it using sums. I am wondering, will that will work?

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