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prove-that-o-oo-sin-2-t-t-2-e-xt-dt-is-continious-R-




Question Number 171566 by SANOGO last updated on 17/Jun/22
prove that ∫_o ^(+oo) ((sin^2 t)/t^2 )e^(−xt) dt   is continious R^+
$${prove}\:{that}\:\int_{{o}} ^{+{oo}} \frac{{sin}^{\mathrm{2}} {t}}{{t}^{\mathrm{2}} }{e}^{−{xt}} {dt}\: \\ $$$${is}\:{continious}\:{R}^{+} \\ $$

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