Question Number 102336 by 175mohamed last updated on 08/Jul/20

if f(x)≤2l +1 and ∫_1 ^3 f(x)dx≤l^2 find the value of l

Commented bymr W last updated on 08/Jul/20

no unique solution

Answered by PRITHWISH SEN 2 last updated on 08/Jul/20

let f_(max) =2l+1 at x=c ∴ ∫_1 ^3 f(x)dx≤(3−1)f(c)=l^2 ⇒f(c)=(l^2 /2) ∴(l^2 /2)=2l+1⇒l=2±(√6) please check