Im stuck at a rather simple question. The problem is this
Solve the integral
$$ \int_{-\infty}^{\infty} \frac{\sin [5(t-u)]\sin 6t} {u (t-u)}du $$ And this is just the convolution of $$\frac{\sin 5t}{t} \quad \text{and} \quad\frac{\sin6t}{t}$$ so my aim was to take the Fourier transformation of this, put it together and the use the inverse transformation. The funny thing is that I am stuck at the transformation, I can't find it in my table. Maybe someone can help me with this?
I will add a question to this, can you start with the inverse transformation and then combine it and after that use the transformation? The reverse order to say.