A Trigometric Integral (1 Viewer)

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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?
 
Last edited:

Zurtex

Science Advisor
Homework Helper
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It's of bad form to put the variable of integration inside the limit itself.

[tex]\int_3^x \frac{\sin t}{t} dt = \text{SinIntegral}(x) - \text{SinIntegral}(3)[/tex]

If

[tex]x = 0 \quad \text{or} \quad \Re(x) > 0 \quad \text{or} \quad \Im(x) \neq 0[/tex]

Not too exciting really.
 

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