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I would like to integrate the following expression with N being Integer

Integrate[(1 + Cos[f (1 + 2 10) \[Pi]])/(1 + Cos[f \[Pi]]), {f, 3, 10}, 
{Element[N, Integers]}]

Unfortunately the line above does not make sense in the interpreter.

I would like to integrate the following expression with N being Integer

Integrate[(1 + Cos[f (1 + 2 n) \[Pi]])/(1 + Cos[f \[Pi]]), {f, 3, 10}, 
{Element[n, Integers]}]

Unfortunately the line above does not make sense in the interpreter.

I would like to integrate the following exoression with N being integer

Integrate[(1 + Cos[f (1 + 2 10) [Pi]])/( 1 + Cos[f [Pi]]), {f, 3, 10}, {Element[N, Integers]}]

Unfortunately the line above does not make scene in the interpreter.

I would like to integrate the following expression with N being Integer

Integrate[(1 + Cos[f (1 + 2 10) \[Pi]])/(1 + Cos[f \[Pi]]), {f, 3, 10}, 
{Element[N, Integers]}]

Unfortunately the line above does not make sense in the interpreter.