if-0-lt-a-b-then-a-b-x-19-1-x-30-dx-log-2-b-20-2-a-20-1-10-

Tinku Tara June 4, 2023 Algebra 0 Comments

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Question Number 159532 by HongKing last updated on 18/Nov/21

if 0<a≤b then: ∫_( a) ^( b) (x^(19) /( (√(1 + x^(30) )))) dx ≥ log (((2 + b^(20) )/(2 + a^(20) )))^(1/(10))

if 0 < a ⩽ b then :

\underset{a}{\int^{b}} \frac{x^{19}}{\sqrt{1 + x^{30}}} dx ⩾ \log \sqrt[10]{\frac{2 + b^{20}}{2 + a^{20}}}

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