prove-that-0-pi-2-4-sin-2-x-dx-lt-pi-14-4-

Tinku Tara June 3, 2023 Integration 0 Comments

Question Number 70150 by necxxx last updated on 01/Oct/19

prove that ∫_0 ^(π/2) (√((4−sin^2 x)))dx < ((π(√(14)))/4)

$${prove}\:{that}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \sqrt{\left(\mathrm{4}−{sin}^{\mathrm{2}} {x}\right)}{dx}\:<\:\frac{\pi\sqrt{\mathrm{14}}}{\mathrm{4}} \\ $$

Commented by necxxx last updated on 01/Oct/19

$${please}\:{help} \\ $$

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