Bandwidth of the baseband signal

[thomas49th]

Homework Statement

Consider
$$\phi_{FM}(t) = Acos[2\pif_{c}t + k_{f}\int^{t}_{-\infty}m(\alpha)d\alpha]$$

where the message signal is [tex]m(t) = 10\picos(2\pif_{0}t) with f_{0} = 4kHz and the carrier is given by $$c(t) = 10cos(2\pif_{c}t)$$ with f_{c} = 10MHz. The bandwidth of
$$\phi_{FM}$$, using Carson's rule is 10kHz. Determine:

a) The bandwidth of the baseband signal

Homework Equations

The Attempt at a Solution

God Knows.

 

[LightHero]

I've been trying to use the Carson Rule to solve this equation, but I'm not sure if I'm on the right track. Any help would be appreciated.