1. May 13, 2013

### yungman

I have been looking for an integration calculator. I need to solve

$$\int_0^{\pi} \frac{\cos (a \cos \theta)}{\sin \theta} d\theta$$

This is a sine integral that likely involve numerical analysis. I tried Wolfram free Mathematica and it did not find a solution. Please advice.

2. May 13, 2013

### dextercioby

I suspect it has no closed form expression in terms of known special functions and you need to specify the range of the parameter, in order to study its convergence.

3. May 13, 2013

### Bill Simpson

If you do not have any additional information about 'a' I suspect you are going to have little success.

If you know enough about the problem that you can justify integrating a series expansion then perhaps

In[1]:= Integrate[Series[Cos[a t]/Sin[t], {t, Pi/2, 6}], {t, 0, Pi}]

Out[1]= (Pi*(322560 - (-1 + a)*(1 + a)*Pi^2*(13440 - 168*(-5 + a^2)*Pi^2 + (61 - 14*a^2 + a^4)*Pi^4))*
Cos[(a*Pi)/2])/322560

But that is making several assumptions.

4. May 13, 2013

### yungman

Thanks for the reply, "a" is just a constant, can be just a real number.

5. May 13, 2013

### yungman

I already simplify the formula already. "a" is just a constant number, 0 ≤ $\theta$ ≤ $\pi$.

6. May 13, 2013

### krash661

i typed,
" free online integration calculator ",
the first to come up was,

wolfram mathematic

7. May 13, 2013

### yungman

I tried that already, it can't calculate this function. But thanks.

8. May 14, 2013