• anonymous
Let $$f(x)$$ be a continuous function, whose first and second derivatives are continuous on $$[0,2\pi]$$ and $$f"(x) \ge 0 \:\: \forall \:x \in [0,2\pi]$$. Show that $\int _0^{2\pi} f(x) \cos x dx \ge 0$
Mathematics

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