Thread: Integration question with unknown function, known definite integral value

Given that , evaluate

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\int_3^5{f(x)\,dx}+\int_3^1{\left(\frac{1}{3x}-f(x)\right)\,dx}=\\
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\int_3^5{f(x)\,dx}+\int_3^1{\frac{1}{3x}\,dx}+\int_1^3{f(x)\,dx}=\\
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\int_1^5{f(x)\,dx}+\int_3^1{\frac{1}{3x}\,dx}\\

Alright thanks a million