How can I show Fourier transform with given function

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Given

$$F\{\mu\} = \int f(t)e^{-j2\pi\mu t} dt $$

Show that

$$F\{f(t \pm t0)\} = e^{\pm j2\pi \mu t_0}F\{\mu\}$$

Do I have to solve this by using this formula?

$$\int f(t)e^{−j2!μt}dt =\int f(t)[cos(2\pi\mu t) − jsin(2\pi\mu t)]dt$$

Is there any easier way to prove this problem?