Menu Close

If-a-b-0-then-prove-that-a-b-a-b-ay-ab-bx-dydx-a-2-b-2-




Question Number 173393 by Shrinava last updated on 10/Jul/22
If  a,b≥0  then prove that:  ∫_a ^( b) ∫_a ^( b)  ∣ay−ab + bx∣ dydx ≤ a^2 b^2
$$\mathrm{If}\:\:\mathrm{a},\mathrm{b}\geqslant\mathrm{0}\:\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}: \\ $$$$\int_{\boldsymbol{\mathrm{a}}} ^{\:\boldsymbol{\mathrm{b}}} \int_{\boldsymbol{\mathrm{a}}} ^{\:\boldsymbol{\mathrm{b}}} \:\mid\mathrm{ay}−\mathrm{ab}\:+\:\mathrm{bx}\mid\:\mathrm{dydx}\:\leqslant\:\mathrm{a}^{\mathrm{2}} \mathrm{b}^{\mathrm{2}} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *