Question

$\pi<\frac{355}{113}$ olduğunu gösteriniz.

Answer 1

$$0<\int_{0}^{1}\frac{x^8(1-x)^8(25+816x^2)}{3164(1+x^2)}dx=\ldots=\frac{355}{113}-\pi$$ $$\Rightarrow$$ $$\pi<\frac{355}{113}.$$