question_answer

Let \[f(x)\] be a non-negative continuous function defined on R such that \[f(x)+f\left( x+\frac{1}{2} \right)=3,\]\[\forall \,x\,\in .R\]?. Then the value of \[\int\limits_{0}^{100}{f(x)\,dx}\] is ____.

Answer:

150