Continuous convolution between two functions I'm studing for an exam and I'm stuck on a simple exercise about convolution between two functions. It says:
A system has a triangular impulse response (LSF) centered at the origin of the plane $h(x)=Λ(x)$. We input an image with two impulses, defined as $f(x)=δ(x-x_0)+δ(x-2x_0)$. Get the output of the system.
I was thinking to use this formula:  $\int_{-\infty }^{+\infty} f(x-x_0) h(x_0) dx_0$
So it would become:
 $\int_{-\infty }^{+\infty} (δ(x-2x_0)+δ(x-3x_0))  Λ(x_0) dx_0$
I don't know if it makes sense, so i'll appreciate any help.
Thank you.

Since response of system to $input=\delta(x)$ is impulse response and equal to 
$$h(x)=Λ(x)$$
Input to the system is a summation of two shifted impulses
$$f(x)=\delta(x-x_0)+\delta(x-2x_0)$$
What's the Output of system ?
$$Output=f(x)\star h(x)=\int_{-\infty }^{+\infty} \Big(\delta(x-x_0)+\delta(x-2x_0)\Big) Λ(x)dx$$
By definition and properties of $\delta$ function we have:
$$\int f(x) \delta(x-x_0) dx=f(x_0)$$
So the final result will be:
$$Λ(x_0)+Λ(2x_0)$$
