4 let a b in mathbbr and a b assume that the function f is continuous and increasing on a b prov

Name: 4 let a b in mathbbr and a b assume that the function f is continuous and increasing on a b prove that intab xfx dx geq fraca b2 intab fx dx hint define a new function ft intta xfx dx fra 95912
Uploaded: 2023-05-17T07:18:02-08:00
Duration: 2 min 58 s
Channel: Madhur L
Description: 4 let a b in mathbbr and a b assume that the function f is continuous and increasing on a b prove that intab xfx dx geq fraca b2 intab fx dx hint define a new function ft intta xfx dx fra 95912

Question

Madhur L · Accepted Answer

Step 1: Define the function (F(t) = int_{t}^{a} xf(x) dx - frac{a+t}{2} int_{t}^{a} f(x) dx).

Question

Please give Ace some feedback