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## Homework Statement

Find f(x) if:(a∈R)

$$f(x)=\int_0^{\frac{\pi}{a}}f(t)cos(at-2ax)dt+1$$

## Homework Equations

$$f(x)=\int_{a}^{b}f(t)dt=F(a)-F(b)$$

$$\int{udv}=uv-\int{vdu}$$

## The Attempt at a Solution

I tried to use the fundamental of calculus and integration by parts but they don't have answer. Because cos(at-2ax) confuses me.

Thank for helping