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Find the spectrum of the operator $$ \begin{split} A & \colon C[0,1] \rightarrow C[0,1] \\ & f \mapsto (Af)(x) := f(x) + \int_0^x f(t)dt \end{split} $$

P.S.: I know the spectrum of $A_1\colon f \mapsto \int_0^x f(t)dt$

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