If-0-lt-a-b-lt-1-then-a-b-a-b-a-b-1-xyz-1-xyz-3-dxdydz-a-b-1-x-3-1-x-3-dx-3-

Question Number 153808 by mathdanisur last updated on 10/Sep/21

If 0 < a ⩽ b < 1 then :

\underset{a}{\int^{b}} \underset{a}{\int^{b}} \underset{a}{\int^{b}} {(\frac{1 - xyz}{1 + xyz})}^{3} dxdydz ⩾ {(\underset{a}{\int^{b}} \frac{1 - x^{3}}{1 + x^{3}} dx)}^{3}