find-the-nature-of-2-1-t-2-t-4-t-3-t-3-at-dt-a-R-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 34262 by math khazana by abdo last updated on 03/May/18

find the nature of ∫_2 ^(+∞) ((√(1+t^2 +t^4 )) −t ^3 (√(t^3 +at)))dt a∈R .

$${find}\:{the}\:{nature}\:{of}\:\int_{\mathrm{2}} ^{+\infty} \left(\sqrt{\mathrm{1}+{t}^{\mathrm{2}} +{t}^{\mathrm{4}} \:}\:\:−{t}\:\:^{\mathrm{3}} \sqrt{{t}^{\mathrm{3}} +{at}}\right){dt} \\ $$$${a}\in{R}\:. \\ $$

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