id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ajird-398	Umirzakova Iroda; Komilov Abdulaziz	ASYMPTOTIC EVALUATION OF PARAMETER-DEPENDENT INTEGRALS	2022	10	.pdf	application/pdf	3498	182	82	Then, 𝐼(𝛼) = ∫√1 − 𝑥 ∙ sin 𝑎𝑥 1 0 𝑑𝑥 = ∫ ∑ (−1)𝑛𝛼2𝑛+1𝑥2𝑛+1 (2𝑛 + 1)! ∞ 𝑛=0 √1 − 𝑥 1 0 𝑑𝑥 = = ∑ (−1)𝑛𝛼2𝑛+1 (2𝑛 + 1)! If we choose 𝑛 < 𝑛0 in this equation, we arrive at the following approximate equation: ∫ 𝑓(𝑥, 𝑝) ∙	cache/ajird-398.pdf	txt/ajird-398.txt