# A Trigometric Integral

1. Jun 2, 2005

### calculus1967

A Trigonometric Integral

I'm trying to find
$$\int_3^x \frac{\sin t}{t}dt$$
I can't find its indefinite integral:
So I'm trying to use
$$F(x)=\int_3^x\frac{\sin t}{t}dt$$
and solve it using sums. I am wondering, will that will work?

Last edited: Jun 2, 2005
2. Jun 2, 2005

### Zurtex

It's of bad form to put the variable of integration inside the limit itself.

$$\int_3^x \frac{\sin t}{t} dt = \text{SinIntegral}(x) - \text{SinIntegral}(3)$$

If

$$x = 0 \quad \text{or} \quad \Re(x) > 0 \quad \text{or} \quad \Im(x) \neq 0$$

Not too exciting really.