MathDB

Problem 1

Part of 2011 SEEMOUS

Problems(1)

Prove inequality

Source: SEEMOUS

2/14/2017
Let f:[0,1]→Rf:[0,1]\rightarrow R be a continuous function and n be an integer number,n>0.Prove that ∫01f(x)dx≤(n+1)∗∫01xn∗f(x)dx\int_0^1f(x)dx \le (n+1)*\int_0^1 x^n*f(x)dx
functioninequalitiesreal analysisIntegral inequality